Final Hydrogenization - Reed CollegePhysics 342 Lecture 25 Final Hydrogenization Lecture 25 Physics...
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Physics 342 Lecture 25 Final Hydrogenization Lecture 25 Physics 342 Quantum Mechanics I Wednesday, March 31st, 2010 We finish our discussion of the Hydrogen atom. In particular, we will look at the degeneracy of the energy states of Hydrogen, and this motivates our interest in operators that commute with the Hamiltonian (and each other) – with enough operators we can experimentally pin down the state of the electron. In Figure 25.1, we see a planar slice of the densities (there is symmetry here) associated with the wavefunctions shown. Lighter areas correspond to higher probability density. Homework Reading: Griffiths, pp. 145–159. Problem 25.1 Griffiths 4.17. The gravitational analogue of Hydrogen. Problem 25.2 Griffiths 4.25. Classical angular momentum of an electron. Problem 25.3 Griffiths 4.43 a and b only. Practice constructing and calculating with the stationary states of Hydrogen. 1 of 2
Transcript of Final Hydrogenization - Reed CollegePhysics 342 Lecture 25 Final Hydrogenization Lecture 25 Physics...
Physics 342 Lecture 25
Final Hydrogenization
Lecture 25
Physics 342Quantum Mechanics I
Wednesday, March 31st, 2010
We finish our discussion of the Hydrogen atom. In particular, we will lookat the degeneracy of the energy states of Hydrogen, and this motivates ourinterest in operators that commute with the Hamiltonian (and each other)– with enough operators we can experimentally pin down the state of theelectron.
In Figure 25.1, we see a planar slice of the densities (there is symmetryhere) associated with the wavefunctions shown. Lighter areas correspond tohigher probability density.
Homework
Reading: Griffiths, pp. 145–159.
Problem 25.1
Griffiths 4.17. The gravitational analogue of Hydrogen.
Problem 25.2
Griffiths 4.25. Classical angular momentum of an electron.
Problem 25.3
Griffiths 4.43 a and b only. Practice constructing and calculating with thestationary states of Hydrogen.
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Physics 342 Lecture 25
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2 Density.nb
!100
!200
!210 !211
!310 !311
!320 !321 !322
!420 !421 !422
!430 !431 !432 !433
!410 !411
!300
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Figure 25.1: The probability densities for the indicated wavefunctions. Here,we are looking at the density in the y-z plane, and all plots have the samehorizontal and vertical extent.
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