Date 
Topic 
Notes 
Aug. 25 
Overview: Historical
context, blackbody, photons, the Bohr quantization rule, deBroglie waves,
Schrodinger equation, the Born interpretation. 
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1
Liboff Ch. 2 
Aug. 27 
Quantum vs. Classical Probability:
Motivating the Born rule. Axioms of probability
theory. Quantum probability amplitude vs. classical probability.

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2 
Sep. 1 
Labor Day: No Class 

Sep. 3 
Probability: Bayes
rule, distribution functions, expectation values, moments, correlations.
Examples: Gaussian distribution, Binomial
distribution. 
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3 
Sep. 8 
Review of wave dynamics:
Wave equation, superposition, wave packets, Fourier Transform.

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Gasiorowicz
2
Fourier notes

Sep. 10 
Wave Mechanics: The
Schrödinger equation, continuity equation, 
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5 
Sep. 15 
Momentum space, the
uncertainty principle.
Complementarity 
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Sep. 17 
Eigenfunctions, Eigenvalues,
Time Indepedent Schrödinger
Equation 
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Gasiorowicz
3 
Sep. 22 
The infinite square well, time dependent
solutions, probability interpretation.

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Liboff 4.14.4, 5.1 
Sep. 24 
Introduction to Hilbert Space,
Completeness, inner product, orthonormal
functions 
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8 
Sep. 29 
The General Structure of Quantum
Mechanics
States, Observables, Measurements, Dynamics 
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Liboff Ch. 3, 4.54.6
Gasiorowicz
5 
Oct. 1 
Compatible Observavbles 
Commutators, Uncertainty, Conservation
Laws 
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Liboff 5.25.5 
Oct. 6 
Mechicanics in Quantum Mechanics
Ehnrenfest Theorem, Classical Trajectories

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11 
Oct. 8 
No Class 

Oct. 13 
1D Wave mechanics: General
properties.
Bound vs. free energy levels. Symmetric
finite square well. 
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12 
Oct. 15 
Bound states in 1D continued
Parity, delta function poential.


Oct. 20 
Unbound states Scattering 
Download 14
Liboff 7.1,7.5 
Oct. 22 
Unbound States: Step
potentials and barriers.
Tunnelling. 
Download 15
Liboff 7.6,7.7 
Oct. 27 
.Catch up... 

Oct. 29 
Finite square well:
RamsauerTownsend effect. Smatrix 
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Liboff 7.8 
Nov. 3 
Wave mechanics in 3D
 separation of coordinates. 
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17
Lib. 8.5, 10.1

Nov. 5 
Central potentials
 radial and angular momentum, radial and angular Schrödinger equation. 
Download 18
Liboff 10.2, 9.2,9.3 
Nov. 10 
Angular momentum in quantum
mechanics: spherical harmonics, operator algebra, and commutation
relations. 
Download 19
Liboff 9.1 
Nov. 11 
Free particle in spherical coordinates
 Partial waves. 
Download 20
Liboff 10.3 
Nov. 12 
Spherical Wells. 
Download 21 
Nov. 17 
Twobody central force problem:
Hydrogen atom. 
Download 22
Liboff 10.5 
Nov. 19 
Hydrogen eigenvalue problem 
Download 23
Liboff 10.6 
Nov. 24 
Hydrogen: Energy
spectrum, eigenfunctions, etc.

Download 24

Nov. 26 
Scattering  Unbound problems
in 3D
Review of classical scattering: Crosssections and
scattering amplitudes.

Download 25
Liboff 14.1 
Dec. 1 
Low Energy Scattering 
Partial Wave Expansion


Dec. 3 
swave Scattering examples 
Download 27
Liboff 14.1 
Dec. 8 
Review Session with Clark
Highstrete 

Dec. 10 
No Class 

Dec. 1519 
FINALS WEEK 
