Now available on WorldSciNet Theoretical & Mathematical ......“dark matter problem”, by finding...

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FREE Access to featured articles at https://worldscientific.com/rmp *Please log in to your existing account or register for a FREE account to enjoy the selected articles. Details on page 5 Subscribe / Recommend to your Librarian! Theoretical & Mathematical Physics New and Bestselling Books in 2019/2020 Now available on WorldSciNet Textbook Mathematical Methods for Physicists by Danilo Babusci (INFN, Italy), Giuseppe Dattoli (ENEA, Italy), Silvia Licciardi (ENEA, Italy) & Elio Sabia (ENEA, Italy) The book covers different aspects of mathematical methods for Physics. It is designed for graduate courses but a part of it can also be used by undergraduate students. The leitmotiv of the book is the search for a common mathematical framework for a wide class of apparently disparate physical phenomena. An important role, within this respect, is provided by a nonconventional formulation of special functions and polynomials. The proposed methods simplify the understanding of the relevant technicalities and yield a unifying view to their applications in Physics as well as other branches of science. 480pp Oct 2019 978-981-120-157-8 US$128 £115 978-981-120-268-1(pbk) US$58 £50 Group Theory for Physicists (2nd Edition) by Zhong-Qi Ma (Institute of High Energy Physics, Beijing, China) This textbook explains the fundamental concepts and techniques of group theory in a language familiar to physicists. The second edition includes extensive updates and new materials. Calculation methods in the context of physics are emphasized. The generalized Gel'fand's method is presented to calculate the matrices of irreducible representations of the simple Lie algebra and its Clebsch–Gordan coefficients. Review of the first edition: “The authors present an interesting book explaining group theory in terms of physics, closing an often observed gap in the literature between abstract mathematical theory and physical applications ... It is self-contained as much as is possible. Many examples and exercises, including solutions, allow the reader to become more familiar with the subject.” Mathematical Reviews 656pp Sep 2019 978-981-3277-38-0 US$128 £115 978-981-3277-96-0(pbk) US$68 £60 Mathematical Foundations of Quantum Field Theory by Albert Schwarz (University of California at Davis, USA) The book is very different from other books devoted to quantum field theory, both in the style of exposition and in the choice of topics. Written for both mathematicians and physicists, the author explains the theoretical formulation with a mixture of rigorous proofs and heuristic arguments, careful to avoid ambiguous definitions and statements that can be found in some physics textbooks. In terms of topics, almost all other books are devoted to relativistic quantum field theory, conversely this book is concentrated on the material that does not depend on the assumptions of Lorentz-invariance and/or locality. It is not assumed that the reader is familiar with quantum mechanics; the book contains a short introduction to quantum mechanics for mathematicians and an appendix devoted to some mathematical facts used in the book. 350pp Apr 2020 978-981-3278-63-9 US$128 £115 PT Symmetry In Quantum and Classical Physics by Carl M Bender (Washington University in St. Louis, USA) Contributions by Patrick E Dorey, Clare Dunning, Andreas Fring, Daniel W Hook, Hugh F Jones, Sergii Kuzhel, Géza Lévai & Roberto Tateo Originated by the author in 1998, the field of PT (parity-time) symmetry has become an extremely active and exciting area of research. PT-symmetric quantum and classical systems have theoretical, experimental, and commercial applications, and have been the subject of many journal articles, PhD theses, conferences, and symposia. Carl Bender’s work has influenced major advances in physics and generations of students. This book is an accessible entry point to PT symmetry, ideal for students and scientists looking to begin their own research projects in this field. 468pp Jan 2019 978-1-78634-595-0 US$138 £120 978-1-78634-668-1(pbk) US$58 £50 Prefer Digital? View this online at https://tinyurl.com/mathphys19

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Theoretical & Mathematical PhysicsNew and Bestselling Books in 2019/2020

Now available on WorldSciNet

Textbook

Mathematical Methods for Physicistsby Danilo Babusci (INFN, Italy), Giuseppe Dattoli (ENEA, Italy), Silvia Licciardi (ENEA, Italy) & Elio Sabia (ENEA, Italy)

The book covers different aspects of mathematical methods for Physics. It is designed for graduate courses but a part of it can also be used by undergraduate students. The leitmotiv of the book is the search for a common mathematical framework for a wide class of apparently disparate physical phenomena. An important role, within this respect, is provided by a nonconventional formulation of special functions and polynomials. The proposed methods simplify the understanding of the relevant technicalities and yield a unifying view to their applications in Physics as well as other branches of science.

480pp Oct 2019978-981-120-157-8 US$128 £115978-981-120-268-1(pbk) US$58 £50

Group Theory for Physicists (2nd Edition)by Zhong-Qi Ma (Institute of High Energy Physics, Beijing, China)

This textbook explains the fundamental concepts and techniques of group theory in a language familiar to physicists. The second edition includes extensive updates and new materials. Calculation methods in the context of physics are emphasized. The generalized Gel'fand's method is presented to calculate the matrices of irreducible representations of the simple Lie algebra and its Clebsch–Gordan coefficients.

Review of the first edition:“The authors present an interesting book explaining group theory in terms of physics, closing an often observed gap in the literature between abstract mathematical theory and physical applications ... It is self-contained as much as is possible. Many examples and exercises, including solutions, allow the reader to become more familiar with the subject.”

Mathematical Reviews656pp Sep 2019978-981-3277-38-0 US$128 £115978-981-3277-96-0(pbk) US$68 £60

Mathematical Foundations of Quantum Field Theoryby Albert Schwarz (University of California at Davis, USA)

The book is very different from other books devoted to quantum field theory, both in the style of exposition and in the choice of topics. Written for both mathematicians and physicists, the author explains the theoretical formulation with a mixture of rigorous proofs and heuristic arguments, careful to avoid ambiguous definitions and statements that can be found in some physics textbooks.

In terms of topics, almost all other books are devoted to relativistic quantum field theory, conversely this book is concentrated on the material that does not depend on the assumptions of Lorentz-invariance and/or locality. It is not assumed that the reader is familiar with quantum mechanics; the book contains a short introduction to quantum mechanics for mathematicians and an appendix devoted to some mathematical facts used in the book.

350pp Apr 2020978-981-3278-63-9 US$128 £115

PT SymmetryIn Quantum and Classical Physicsby Carl M Bender (Washington University in St. Louis, USA)Contributions by Patrick E Dorey, Clare Dunning, Andreas Fring, Daniel W Hook, Hugh F Jones, Sergii Kuzhel, Géza Lévai & Roberto Tateo

Originated by the author in 1998, the field of PT (parity-time) symmetry has become an extremely active and exciting area of research. PT-symmetric quantum and classical systems have theoretical, experimental, and commercial applications, and have been the subject of many journal articles, PhD theses, conferences, and symposia. Carl Bender’s work has influenced major advances in physics and generations of students.

This book is an accessible entry point to PT symmetry, ideal for students and scientists looking to begin their own research projects in this field.

468pp Jan 2019978-1-78634-595-0 US$138 £120978-1-78634-668-1(pbk) US$58 £50

Prefer Digital? View this online at https://tinyurl.com/mathphys19

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THEORETICAL AND MATHEMATICAL PHYSICS: NEW AND BESTSELLING BOOKS IN 2019/2020

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More New Titles

Space Time and Dark MatterThe Hidden Sectors of Particle Physics and Cosmologyby Alberto Grasso (Italian Ministry of Education, Universities and Research, Italy)

The nature of dark matter is one of the key enquiries of cosmology and particle physics. Coherently approaching the fundamental questions, this book critically explores the role of the “space time” by fixing the representations of its underlying symmetries and classifying the relevant scattering portals of the principal dark matter candidates. With particular reference to the experimental constraints on annihilation and direct detection cross sections, the author reviews the kinetic and thermodynamic evolution since the decoupling era of what would have become the dark matter relics at the cosmological scale and the dark halos at the galactic scale.

In good synthesis, the ultimate scope of the book is to present the logic interplay between the microscopic and the macroscopic points of view on the “dark matter problem”, by finding their unifying key element in the intimate nature of the “space time”.

350pp Sep 2020978-981-3276-94-9 US$128 £115

Interacting Gravitational, Electromagnetic, Neutrino and Other WavesIn the Context of Einstein’s General Theory of Relativityby Anzhong Wang (Baylor University, USA)

This book investigates interactions among gravitational waves and matter fields beyond linear order. Only a basic understanding of general relativity is required to understand the materials.

The book opens with an overview on the fundamentals of the Newman-Penrose formalism and a brief introduction to distribution theory, with which the author systematically develops a mathematical description of spacetimes of colliding plane waves. Then, the author discusses a variety of nonlinear interactions, including the collisions of two plane gravitational waves and the collisions of a plane gravitational wave with a dust shell, a massless scalar wave, an electromagnetic wave, or a neutrino wave.

200pp Jul 2020978-981-121-148-5 US$98 £85

A Mathematics Primer for Physics Studentsby Andrew E Blechman (Wayne State University, USA)

This book is both an introduction and summary of many mathematical methods that are needed to solve problems in advanced undergraduate or early graduate physics courses. The material is presented through example to demonstrate how it would be useful in the context of solving physics problems, with minimal use of formalism or proof. Topics include linear algebra; vector and tensor analysis; geometric tools such as metrics and curvature; mathematical groups, with emphasis on representation theory and Lie groups/algebras; complex calculus; integral transforms and differential equations; and an introduction to algebraic topology.

This book would be ideal as a study guide to help students through difficult courses. Alternatively, it could be used as a supplementary text in a mathematical physics course.

300pp May 2020978-981-3238-01-5 US$78 £69

Theoretical Physics in Your FaceSelected Correspondence of Sidney Colemanby Aaron S Wright (Dalhousie University, Canada), Diana Coleman & David Kaiser (Massachusetts Institute of Technology, USA)

Sidney Coleman (1937 – 2007) was a renowned theoretical physicist, who taught for more than forty years at Harvard University. He contributed critical work on quantum field theory, high-energy particle physics, and cosmology. He was also a remarkably effective teacher who had mentored several leading members in the field. His sense of humor and wit became legendary.

This selection of his previously unpublished correspondence depicts Coleman’s illustrious career. The letters show the depth of Coleman’s activities and interests, including science fiction, space travel, and the US counter culture. The volume also includes for the first time in print Coleman’s legendary lecture “Quantum Mechanics in Your Face.”

450pp May 2020978-981-120-135-6 US$98 £85978-981-120-204-9(pbk) US$48 £40

Roman Jackiw80th Birthday Festschriftedited by Antti Niemi (University of Stockholm, Sweden), Terry Tomboulis (University of California, Los Angeles, USA) & Kok Khoo Phua (Nanyang Technological University, Singapore)

○ Dedicated to Roman Jackiw, a theoretical physicist well-known for his contributions in quantum and classical fieldtheories

○ Contributed by two Nobel laureates, one Field Medalist and many other leading researchers

○ Consisting of reviews on the current research progress as well as interesting anecdotes of famous physicists

300pp Apr 2020978-981-121-066-2 US$118 £105

Lectures of David Olive on Gauge Theories and Lie AlgebrasWith Some Applications to Spontaneous Symmetry Breaking and Integrable Dynamical Systems With Foreword by Lars Brinkedited by Andreas Fring (City, University of London, UK) & Neil Turok (Perimeter Institute for Theoretical Physics, Canada)

Professor David Olive was a renowned British theoretical physicist who critically contributed to superstrings, quantum gauge theories and mathematical physics, for which he was awarded the Dirac Medal together with his long-standing collaborator Peter Goddard. These lectures, delivered by David Olive in 1982 at the University of Virginia, show his visionary conjectures and exceptionally clear and insightful style of exposition. They provide a pedagogical, self-contained introduction to some of the most complex topics in quantum gauge theory, such as Lie algebras, electromagnetic duality and integrable models.

Readership: Graduate students and academics interested in quantum field theory.

170pp May 2020978-981-3237-57-5 US$68 £60

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THEORETICAL AND MATHEMATICAL PHYSICS: NEW AND BESTSELLING BOOKS IN 2019/2020

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A Quantum Leap in Information Theoryby Stefano Mancini (University of Camerino, Italy)& Andreas Winter (Autonomous University of Barcelona, Spain)

This is an introductory textbook at graduate or advanced undergraduate level. Students with diverse backgrounds, in mathematics, physics and computer science, can use it to become acquainted with the quantum theory of information. Its scope is deliberately chosen to be not too broad, while being self-consistent and usable for a semester-long course for beginners. The subject is presented using a balanced mix of intuitive arguments and rigorous formalism. The emphasis is not on the physical information but rather in the formal and mathematical features of quantum information theory. Only a basic knowledge of algebra is required to understand the contents of this book. In particular, a background in quantum mechanics is not needed, since quantum theory is used as a mere mathematical framework without entering into physical interpretations. Examples are provided to help the reader in understanding the different concepts, together with exercises at the end of each chapter.

210pp Apr 2020978-981-120-154-7 US$88 £75

The Physical Foundations of Hydrodynamic ProcessesMacroscopic and Kinetic Approachesby Nikolay Nikolaevich Fimin & Valery Mihailovich Chechetkin (Russian Academy of Sciences, Russia)

This book studies the fundamental concept of hydrodynamics, starting with the microscopic kinetic approach and moving up to large-scale structures. It demonstrates the connection of macroscopic approach with the description of properties of fluid motion and microscopic kinetic theory. Recent investigations in instabilities and turbulence theory are also discussed.

245pp Mar 2020978-981-121-115-7 US$98 £85

An Eventful Journey to Unification of All the Fundamental Forcesby Robert Delbourgo (University of Tasmania, Australia)

Following Einstein’s footsteps, many theorists have been trying to unify electromagnetic force with gravitational force by incorporating additional minuscule coordinates, culminating in string theory — which has unfortunately not met with experimental support. The author shows that one can successfully unify gravity with electromagnetism by adding a single complex anticommuting coordinate to spacetime, which can be associated with the property of ‘electricity’. It traces the history of attempts of unification before explaining the author’s “where – when – what” scheme.

Readership: All science graduates who have studied one or two years of university level mathematics.

150pp Mar 2020978-981-121-014-3 US$68 £60

Statistical Mechanics and Scientific ExplanationDeterminism, Indeterminism and Laws of Natureedited by Valia Allori (Northern Illinois University, USA)

The book explores several open questions in the philosophy and the foundations of statistical mechanics. Each chapter is written by a leading expert in philosophy of physics and/or mathematical physics. They examine fundamental questions such as the connection between thermodynamic arrow and the psychological arrow of time, application of Boltzmann’s analysis to the quantum domain and the entropy state of the big bang.

Readership: Graduate and research level students and professional in mathematical physics, statistical mechanics, quantum theory and physics.

400pp Feb 2020978-981-121-171-3 US$138 £120

A Supergravity PrimerFrom Geometrical Principles to the Final Lagrangianby Michel Rausch de Traubenberg (CNRS Institut Pluridisciplinaire Hubert Curien, France) & Mauricio Valenzuela (Universidad San Sebastián, Chile)

This book is devoted to a pedagogical introduction to supergravity from a practical perspective. In the first part of the book, the N=1 supergravity Lagrangian in four spacetime dimensions is derived using a superspace approach following the reference of Wess and Bagger. The authors then move on to address more phenomenological aspects of supergravity such as supersymmetry breaking, no-scale supergravity and super-Higgs mechanism. Finally, the connection between supergravity/particle physics and cosmology are discussed. As a particular feature of the book, the authors provide explicit derivations, making the computations easier to follow for the interested reader.

376pp Nov 2019978-981-121-051-8 US$118 £105

Advanced Series on Theoretical Physical Science

Space – Time, Yang – Mills Gravity, and Dynamics of Cosmic ExpansionHow Quantum Yang – Mills Gravity in the Super-Macroscopic Limit Leads to an Effective Gμv(t) and New Perspectives on Hubble’s Law, the Cosmic Redshift and Dark Energyby Jong-Ping Hsu (University of Massachusetts Dartmouth, USA) & Leonardo Hsu (Santa Rosa Junior College, USA)

Yang – Mills gravity is an innovative theory that brings gravity back to the arena of gauge symmetry, quantum fields and quantum mechanics. It provides a unique treatment of gravity consistent with experimental results. This book shows how one can combine Yang – Mills gauge symmetry and effective Einstein – Grossmann metric tensors to tackle physical problems at microscopic, macroscopic and super-macroscopic length scales. In particular, the combination of gauge symmetry and an effective metric tensor provides a framework for and leads to an alternative dynamics of cosmic expansion based on quantum Yang – Mills gravity at the super-macroscopic limit.

300pp Dec 2019978-981-120-043-4 US$108 £95

Textbook

Textbook Inspection Copy Email: [email protected] or scan the QR code

eTextbooks Available! Digital resources made convenient for your students at a lower cost.

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Mathematical Methods of Theoretical Physicsby Karl Svozil (Technische Universität Wien, Austria)

This book features very detailed explicit proofs and demonstrations of common mathematical methods used in theoretical physics. It combines and unifies many expositions of the subject and thus is accessible to a very wide range of students including those interested in experimental and applied physics. The content is divided into three parts: linear vector spaces, functional analysis and differential equations.

300pp Oct 2019978-981-120-840-9 US$78 £70

From Classical Mechanics to Quantum Field Theory, a Tutorialby Manuel Asorey (Universidad de Zaragoza, Spain), Elisa Ercolessi (University of Bologna, Italy & INFN-sezione di Bologna, Italy) & Valter Moretti (University of Trento, Italy)

This book introduces advanced graduate and PhD students, as well as young researchers, to current research topics in mathematics and physics. It presents in a unique volume the different approaches to quantization, starting from the ideas of classical mechanics up to the development of quantum field theories. In particular, it fills the gap between the more physical-oriented and the more mathematical-oriented literature on quantum theory.

Readership: Students and researchers in mathematics and physics who are interested in Classical Mechanics and Quantum Field Theory.

300pp Dec 2019978-981-120-840-9 US$78 £70

High Accuracy Algorithm for the Differential Equations Governing Anomalous DiffusionAlgorithm and Models for Anomalous Diffusionby Weihua Deng & Zhijiang Zhang (Lanzhou University, China)

The aim of this book is to extend the application field of ‘anomalous diffusion’, and describe the newly built models and the simulation techniques to the models.

The book first introduces ‘anomalous diffusion’ from the statistical physics point of view, then discusses the models characterizing anomalous diffusion and its applications, such as the Fokker-Planck equation, the Feymann-Kac equations and also the microscopic model — Langevin type equation. The second main part focuses on providing the high accuracy schemes for these kinds of models, and the corresponding convergence and stability analysis.

296pp Feb 2019978-981-3142-20-6 US$118 £105

Textbook

Textbook

Diagrammatics (2nd Edition)Lectures on Selected Problems in Condensed Matter Theoryby Michael V Sadovskii (Russian Academy of Sciences, Russia)

The introduction of quantum field theory methods has led to a “revolution” in condensed matter theory, resulting in the increased importance of Feynman diagrams or diagram technique. Thus, it is imperative for professionals in the field to have a thorough knowledge of this method.

The book is intended to teach students, postdocs and young theorists to apply diagrammatic quantum field theory methods to solve different problems in theoretical condensed matter physics. The concepts are illustrated using specific examples of such problems. This latest edition is extended to include new material on superconductivity and diagram combinatorics.

384pp Oct 2019978-981-121-220-8 US$118 £105

Topology and Physicsedited by Chen Ning Yang (Tsinghua University,China), Mo-Lin Ge (Chern Institute of Mathematics, China) & Yang-Hui He (City, University of London, UK)

As with all beautiful mathematical concepts, topology inevitably finds its prominent role in physics. This book provides the latest review of the interplay between “Topology” and “Physics”, contributed by an assembly of grand masters of the field such as Chen Ning Yang, Sir Michael Atiyah, Nick Manton, Robbert Dijkgraaf, Edward Witten, Louis H Kauffman, Minhyong Kim, Sir Roger Penrose, Haijun Zhang, Shou-Cheng Zhang and Xiao-Gang Wen.

232pp Mar 2019978-981-3278-49-3 US$88 £75978-981-3278-50-9(pbk) US$28 £25

Upcoming: Related TitleModeling Anomalous DiffusionFrom Statistics to Mathematicsby Weihua Deng, Ru Hou, Wanli Wang & Pengbo Xu (Lanzhou University, China)

Readership: Advanced students and researchers in mathematics, physics and chemistry who are interested in the anomalous diffusion phenomena.

268pp Jan 2020978-981-121-299-4 US$98 £85

Particles in the Early UniverseHigh-Energy Limit of the Standard Model from the Contraction of Its Gauge Groupby Nikolai A Gromov (Russian Academy of Sciences, Russia)

Key Features: ○ A new unique interpretation of the

high-energy limit of the Standard Model generated by the contraction of its gauge group is given

○ The dynamics of particle properties and their interactions at different stages of the evolution of the universearedescribedforthefirsttime

○ This is the only book available in English at present about group contractions and their application to physical problems.

Readership: Graduate students and researchers in the field of high-energy physics and astroparticle physics.

168pp Nov 2019978-981-120-972-7 US$78 £70

FIND THESE BOOKS VALUABLETO YOUR COMMUNITY?RECOMMEND THEM TO YOUR LIBRARIAN.

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Principles of Quantum Computation and InformationA Comprehensive Textbookby Giuliano Benenti (Universitàdegli Studi dell’Insubria, Italy),Giulio Casati (Universitàdegli Studi dell’Insubria, Italy), Davide Rossini (Universitàdi Pisa, Italy) & Giuliano Strini (Universitàdi Milano, Italy)

“Thorough introductions to classical computation and irreversibility, and a primer of quantum theory, lead into the heart of this impressive and substantial book. All the topics — quantum algorithms, quantum error correction, adiabatic quantum computing and decoherence are just a few — are explained carefully and in detail. Particularly attractive are the connections between the conceptual structures and mathematical formalisms, and the different experimental protocols for bringing them to practice. A more wide-ranging, comprehensive, and definite text is hard to imagine.”

Michael Berry University of Bristol, UK

Readership: Upper-level undergraduates and graduate students in physics, mathematics and computer science.

704pp Jan 2019978-981-3237-22-3 US$158 £139978-981-3279-99-5(pbk) US$88 £75

Classical Mechanics and Electrodynamicsby Jon Magne Leinaas (University of Oslo, Norway)

Key Features: ○ Presents a coherent treatment of classical

theoretical physics, differing from other textbooks focused on either classical mechanics or classical electrodynamics.

○ Provides explicit and detailed derivations of the physical effects from basic principles.

○ Includes many illustrations, relevant examples and exercises.

364pp Feb 2019978-981-3279-36-0 US$98 £85978-981-3279-98-8(pbk) US$58 £50

Solution Manual for Classical Mechanics and Electrodynamics136pp Apr 2019978-981-120-070-0(pbk) US$28 £25

Ludwig Faddeev Memorial VolumeA Life in Mathematical Physicsedited by Mo-Lin Ge (Chern Institute of Mathematics, China), Antti J Niemi (Stockholm University, Sweden & Uppsala University, Sweden), Kok Khoo Phua (NTU, Singapore), Leon A Takhtajan (Stony Brook University, USA & Euler International Mathematical Institute, Russia)

Ludwig Faddeev is widely recognized as one of the titans of 20th century mathematical physics. His fundamental contributions to scattering theory, quantum gauge theories, and the theory of classical and quantum completely integrable systems played a key role in shaping modern mathematical physics.

This volume is a tribute to this legendary figure and is a collective contribution from notable figures such as Sir Michael Atiyah, Jürg Fröhlich, Roman Jackiw, Vladimir Korepin, Nikita Nekrasov, André Neveu, Alexander M Polyakov, Samson Shatashvili, Fedor Smirnov as well as Nobel laureates Frank Wilczek and C N Yang.

Readership: Students, researchers and academics in mathematical physics and those interested in the work of Ludwig Faddeev.

704pp Jan 2019978-981-3237-22-3 US$158 £139978-981-3279-99-5(pbk) US$88 £75

For a free institutional trial or subscribe to this journal, please contact us at [email protected]

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Reviews in Mathematical PhysicsA Journal for both review and original research papers in the field of mathematical physicsISSN (print): 0129-055X | ISSN (online): 1793-6659

Features at a glance► 10 issues a year

► 2018 impact factor: 1.092

► Frequent special issues on latest research developments

Editors-in-ChiefJacob Schach Møller (Aarhus University)Antti Niemi (Nordita, Stockholm University)

Featured ArticlesK-Theory and the Jones PolynomialMichael F. Atiyah and Carlos Zapata-CarratalaDOI: 10.1142/S0129055X18400020

Chiral Anomaly, Topological Field Theory, and Novel States of MatterJürg FröhlichDOI: 10.1142/S0129055X1840007X

Orthogonal Polynomials in Mathematical PhysicsChuan-Tsung Chan, A. Mironov, A. Morozov and A. SleptsovDOI: 10.1142/S0129055X18400056

Spectral and scattering theory for Schrödinger operators on perturbed topological crystalsD. Parra and S. RichardDOI: 10.1142/S0129055X18500095

Darboux transformations of integrable couplings and applicationsWen-Xiu Ma and Yu-Juan ZhangDOI: 10.1142/S0129055X18500034

Feynman propagators on static spacetimesJanDerezińskiandDanielSiemssenDOI: 10.1142/S0129055X1850006X

HopfionsPaul SutcliffeDOI: 10.1142/S0129055X18400172

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Physics off the Beaten TrackA Selection of Papers by Robert Delbourgoedited by Robert Delbourgo (University of Tasmania, Australia)

Robert Delbourgo, an illustrious physicist, shares his experience in this collection of papers with commentary. This book covers a wide range of topics, ranging from chaos theory through to unified field theories and gravitation. It illustrates that important contributions to physics can be achieved without chasing fashionable or popular topics.

704pp Feb 2019978-981-3277-89-2 US$188 £165

Advanced Textbooks in Physics

A Guide to Mathematical Methods for PhysicistsAdvanced Topics and Applicationsby Michela Petrini (Sorbonne Université, Paris, France), Gianfranco Pradisi (University of Rome Tor Vergata, Italy) & Alberto Zaffaroni (University of Milano-Bicocca, Italy)

This book provides a self-contained and rigorous presentation of the main mathematical tools needed to approach many courses for advanced students in physics, from Electromagnetism to Quantum Mechanics. One of the purposes of the book is to show how seemingly different mathematical tools like, for instance, Fourier transforms, eigenvalue problems, special functions and so on, are all deeply interconnected. It contains a large number of examples, problems and detailed solutions, emphasising the main purpose of relating concrete physical examples with more formal mathematical aspects.

308pp Oct 2018978-1-78634-548-6 US$88 £77978-1-78634-704-6(pbk) US$48 £40

Group Theory in PhysicsA Practitioner’s Guideby Rutwig Campoamor-Stursberg (UniversidadComplutense de Madrid, Spain) & Michel Rauschde Traubenberg (Universitéde Strasbourg, CNRS, IPHC, France)

This book presents the study of symmetry groups in Physics from a practical perspective, i.e. emphasising the explicit methods and algorithms useful for the practitioner and profusely illustrating by examples. The first half reviews the algebraic, geometrical and topological notions underlying the theory of Lie groups. The second half is devoted to applications in physics, divided into three main parts — space-time symmetries, the Wigner method for representations and applications to relativistic wave equations.

760pp Nov 2018978-981-3273-60-3 US$128 £115

String Fields, Higher Spins and Number Theoryby Dimitri Polyakov (Sichuan Univ. China & Institut des Hautes Etudes Scientifiques (IHES), France)

The book aims to analyze and explore deep and profound relations between string field theory, higher spin gauge theories and holography — the disciplines that have been on the cutting edge of theoretical high energy physics and other fields. These intriguing relations and connections involve some profound ideas in number theory, which appear to be part of a unifying language to describe these connections.

212pp Nov 2018978-981-3233-39-3 US$88 £77

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Textbook

Frontier Problems in Quantum Mechanicsby Lee Chang (Tsinghua University, China) & Molin Ge (Nankai University, China)

“The merit of the book is that various problems are worked out keeping the presentation simple and direct, often making reference to the corresponding experimental checks. Graduate students willing to get informed on the many facets and ‘frontier’ problems of quantum mechanics will largely profit from reading this book.”

zbMATH

1092pp Oct 2018978-981-3146-84-6 US$198 £164

Theoretical and Mathematical PhysicsProblems and Solutionsby Willi-Hans Steeb (University of Johannesburg, South Africa)

“This is an excellent, well-written and very comprehensive book covering many topics of mathematics and physics. An exhaustive collection of problems with detailed solutions that may be valuable to students and young researchers in several fields, ranging from Mathematics to Quantum Physics.”

Contemporary Physics

736pp Oct 2018978-981-3275-37-9 US$148 £130978-981-3275-96-6(pbk) US$88 £75

Molecular VibrationsAn Algebraic and Nonlinear Approachby Guozhen Wu (Tsinghua University, China)

This book focuses on the main idea that highly-excited molecular vibration is a nonlinear, many-body and semiclassical system. Therefore, many ideas and techniques in nonlinear fields such as chaos, resonance, Lyapunov exponent, etc. can be incorporated into this study. Together with the Lie algebraic coset algorithm, readers are able to approach the topics in a simple arithmetic and realistic way in contrast to the traditional solving of Schrödinger equation.

Readership: Postgrads and researchers in nonlinear science and analysis.

248pp Oct 2018978-981-3270-69-5 US$98 £85

Fractional CalculusAn Introduction for Physicists

(3rd Edition)by Richard Herrmann (GigaHedron, Germany)

“The third edition of this book is designed to carefully and coherently introduce fractional calculus to physicists, by applying the ideas to two distinct applications: classical problems and multi-particle quantum problems. There remain many open questions and the field remains an active area of research. Dr Herrmann’s book is an excellent introduction to this field of study.” Contemporary Physics

636pp Aug 2018978-981-3274-57-0 US$148 £130

Page 7: Now available on WorldSciNet Theoretical & Mathematical ......“dark matter problem”, by finding their unifying key element in the intimate nature of the “space time”. 350pp

THEORETICAL AND MATHEMATICAL PHYSICS: NEW AND BESTSELLING BOOKS IN 2019/2020

7 Prefer Digital? View this flyer online at https://tinyurl.com/mathphys19

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Long-lasting textbook on supersymmetryWorld Scientific Lecture Notes in Physics - Vol 80

Introduction to Supersymmetry (2nd Edition)by Harald J W Müller-Kirsten (University of Kaiserslautern, Germany) Armin Wiedemann (Baden-Wüerttemberg Cooperative State University Mannheim, Germany)452pp Jan 2010978-981-4293-41-9 US$90 £75978-981-4293-42-6(pbk) US$58 £48

Encyclopedia on path integral methods

Path Integrals in Quantum Mechanics, Statistics,Polymer Physics, and Financial Markets (5th Edition)by Hagen Kleinert (Freie Universität Berlin, Germany)1624pp May 2009978-981-4273-55-8 US$168 £139978-981-4273-56-5(pbk) US$48 £40

Field Theory, the Renormalization Group, and Critical Phenomena (3rd Edition)Graphs to Computersby Daniel J Amit (Universitàdi Roma, “La Sapienza”, Italy & Hebrew Univ.,Israel), Victor Martin-Mayor (Universidad Complutense de Madrid, Spain)568pp Jun 2005978-981-256-109-1 US$107 £89978-981-256-119-0(pbk) US$54 £45

Group Theory in PhysicsAn Introduction to Symmetry Principles, Group Representations, and Special Functions in Classical and Quantum Physicsby Wu-Ki Tung (Michigan State University, USA)336pp Aug 1985978-9971-966-56-0 US$65 £54978-9971-966-57-7(pbk) US$55 £46

Page 8: Now available on WorldSciNet Theoretical & Mathematical ......“dark matter problem”, by finding their unifying key element in the intimate nature of the “space time”. 350pp

THEORETICAL AND MATHEMATICAL PHYSICS: NEW AND BESTSELLING BOOKS IN 2019/2020

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Quantum LeapsHow Quantum Mechanics Took Over Scienceby Jeremy Bernstein132pp Mar 2019978-981-3272-70-5 US$50 £45978-981-3274-41-9(pbk) US$26 £25

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How the Universe WorksIntroduction to Modern Cosmologyby Serge Parnovsky (Taras Shevchenko National University of Kyiv, Ukraine) & Aleksei Parnowski (Space Research Institute, Ukraine)

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