10 lectures. Mo 3 pm Mon 3 pm Tue 3 pm Wed 3 pm ( 2 x 45 ) Wed 3 pm ( 2 x 45) Thu 3 pm Fri 3 pm.

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Transcript of 10 lectures. Mo 3 pm Mon 3 pm Tue 3 pm Wed 3 pm ( 2 x 45 ) Wed 3 pm ( 2 x 45) Thu 3 pm Fri 3 pm.

10 lectures

Mo 3 pm Mon 3 pm

Tue 3 pm Tue 3 pm

Wed 3 pm ( 2 x 45 ) Wed 3 pm ( 2 x 45)

Thu 3 pm Thu 3 pm

Fri 3 pm

1. Quantum Physics1. Quantum Physics

2. Quantum Theory2. Quantum Theory

3. Dirac equation – gauge theories3. Dirac equation – gauge theories

4. Isospin, SU(3), quarks4. Isospin, SU(3), quarks

5. SSB and electroweak interactions5. SSB and electroweak interactions

6. Flavor mixing and CP-violation6. Flavor mixing and CP-violation

7. QCD7. QCD

8. Grand unification8. Grand unification

9. Composite weak bosons 9. Composite weak bosons

10. F10. Fundamental constantsundamental constants

theorystring

nUnificatioGrand

bosonsgaugeleptonsquarks

nucleiatomic

moleculesandatoms

systemsclassical

Matter consists Matter consists of atoms of atoms (===> (===> „atomos“)„atomos“)

Atoms in Atoms in chemistrychemistry

OH 2

molecules

amdt

vdm

dt

pdF

FF

F

jF

0

19081908Hermann MinkowskiHermann Minkowski

time t => icttime t => ict

four-dimensional space-timefour-dimensional space-timeLorentz transformations Lorentz transformations

=> fourdimensional => fourdimensional rotationsrotations

-- Minkowski space-time ---- Minkowski space-time --

19161916

EinsteinEinstein

Theory of Theory of General General

RelativityRelativity

the Minkowski the Minkowski space-time is flat.space-time is flat.

gravity describes thegravity describes thecurvature of space-timecurvature of space-time

strong gravity field =>strong gravity field =>large curvature.large curvature.

23490

23892 ThU

:decaybeta

eepn

December 14, December 14, 1900:1900:

lecture of lecture of Max Planck at the Max Planck at the Physical Society Physical Society in Berlinin Berlin

Energy ofEnergy of black body black body radiationradiation

==>>“quanta“ ==>>“quanta“

Photo effect: Photo effect: metals absorb light and emit electronsmetals absorb light and emit electrons

Philipp Lenard:Philipp Lenard:energy of the electrons depends only energy of the electrons depends only on the frequency, not on the intensityon the frequency, not on the intensity

hphotonofenergy

interaction of interaction of electron electron

with photon:with photon:

=> electric charge e=> electric charge e- coupling constant for - coupling constant for the electromagnetic the electromagnetic

interaction - interaction -

hce /22

Arnold Arnold Sommerfeld, Sommerfeld, 19161916

fine-structure constant hce /22

=0.00729735253

137

12

ch

e

nucleus

electrons

stableorbits

only discrete orbits are allowed - only discrete orbits are allowed - on these orbits no energy is emitted. on these orbits no energy is emitted.

=> stationary orbits=> stationary orbits

transitions from one discrete transitions from one discrete orbit orbit to another one is possibleto another one is possible

emission of a specific emission of a specific energy energy

model of Bohrmodel of Bohr

L. de Broglie:L. de Broglie: „ „particles“ particles“ are particles are particles and waves at and waves at the same the same time - as lighttime - as light

uncertainty in location

hpx

Uncertainty between energy and Uncertainty between energy and time: time:

uncertainty relation uncertainty relation follows follows

from the exact relation:from the exact relation:

hixi

hxpx

,,

.

wave functions of hydrogen

David HilbertUniversity of Göttingen~ 1929

2

2

2

2

2

2

2

2

),(

zyx

Vm

hH

trHt

hi

simplest model: a particle between two walls

2. nhconstEn

2. xconstV

2 2

2 28

h dE V

m dx

4/0 hE

2/)2

1( hnEn

...0E