1. The Emergence of Quantum Physics
1-1 Blackbody Radiation
1-2 The Photoelectric Effect
1-3 The Compton Effect
1-4 Wave Properties of Matter and Electron Diffraction
1-5 The Bohr Atom
The Rutherford Planetary Model
The Bohr Postulates
The Correspondence Principle
Problems
SUPPLEMENTS ON THE WEB SITE:
1-A Einstein's Approach to Planck's Law
1-B Estimate of Lifetime of a Rutherford Atom
2. Wave Particle Duality, Probability, and the Schrodinger Equation
2-1 Radiation as Particles, Electrons as Waves
2-2 Plane Waves and Wavepackets
*How Wave Packets Move
2-3 The Probability Interpretation of the Wave Function
2-4 The Schrodinger Equation
2-5 The Heisenberg Uncertainty Relations
Diffraction of a Photon Beam
Inability to Localize Bohr Orbits
Interim Summary
2-6 More on the Probability Interpretation
The Importance of Phases
The Probability Current
2-7 Expectation Values and the Momentum in Wave Mechanics
The Momentum in Wave Mechanics
Wave Function in Momentum Space
Problems
SUPPLEMENTS ON THE WEB SITE:
2-A The Fourier Integral and Delta Functions
2-B A Brief Tutorial on Probability
3. Eigenvalues, Eigenfunctions, and the Expansion Postulate
3-1 The Time-Independent Schrodinger Equation
3-2 Eigenvalue Equations
3-3 The Eigenvalue Problem for a Particle in a Box
3-4 The Expansion Postulate and Its Physical Interpretation
The Interpretation of the Expansion Coefficients
3-5 Momentum Eigenfunctions and the Free Particle
Normalization of the Free Particle Wave Function
Degeneracy
3-6 Parity
Problems
4. One-Dimensional Potentials
4-1 The Potential Step
4-2 The Potential Well
4-3 The Potential Barrier
4-4 An Example of Tunneling
4-5 Bound States in a Potential Well
4-6 Deltas Function Potentials
4-7 The Harmonic Oscillator
Problems
SUPPLEMENTS ON THE WEB SITE:
4-A The Wentzel.Kramers-Brillouin-Jeffreys Approximation
4-B Tunneling in Nuclear Physics
4-C Periodic Potentials
The Kronig-Penney Model
5. The General Structure of Wave Mechanics
5-1 Eigenfnnctions and Eigenvalues
The Hamiltonian Operator
5-2 Other Observables
The Interpretation of the Expansion Coefficients
5-3 Vector Spaces and Operators
5-4 Degenemcy and Simultaneous Observables
5-5 Time Dependence and the Classical Limit
Problems
SUPPLEMENT ON THE WEB SITE:
5.A Uncertainty Relations
6. Operator Methods in Quantum Mechanics
6-1 Rephrasing Wave Mechanics--An Abstract View of Quantum Mechanics
Projection Operators
6-2 The Energy Spectrum of the Harmonic Oscillatur
6-3 From Operators Back to the Schrtdinger Equation
6-4 The Time Dependence of Operators
Problems
7. Angular Momentum
7-1 The Angular Momentum Commutation Relations
7-2 Raising and Lowering Operators for Angular Momentum
7-3 Representation of │l,m> States in Spherical Coordinates
7-4 Comments on the Expansion Theorem
Problems
SUPPLEMENTS ON THE WEB SITE:
7-A Rotational lnvariance
Invariance Under Rotations About the z-Axis
7-B Angular Momentum in Spherical Coordinates
8. The Schrodinger Equation in Three Dimensions
and the Hydrogen Atom
8-1 The Central Potential
8-2 The Hydrogen Atom
8-3 The Energy Spectrum
The Degeneracy of the Spectrum
8-4 The Free Particle
8-5 Particle in an Infinite Spherical Well
Problems
SUPPLEMENTS ON THE WEB SITE:
8-A A Useful Theorem
8-B The Square Well, Continuum Solutions
The Plane Wave Spherical Harmonics
9. Matrix Representation of Operators
9-1 Matrices in Quantum Mechanics
9-2 Matrix Representations of Angular Momentum Operators
9-3 General Relations in Matrix Mechanics
Problems
10. Spin
10-1 Eigenstates of Spin 1/2
10-2 The Intrinsic Magnetic Moment of Spin 1/2 Particles
10-3 Paramagnetic Resonance
10-4 Addition of Two Spins
10-5 The Addition of Spin 1/2 and Orbital Angular Momentum
General Rules for Addition of Angular Momenta
Problems
SUPPLEMENTS ON THE WEB SITE:
10-A The Addition of Spin l/2 and Orbital Angular Momentum （Details）
General Rules for Addition of Angular Momenta, and Implications
for Identical Particles
10-B The Levi-Civita Symbol and Maxwell's Equations
11. Time-Independent Perturbation Theory
12. The Real Hydrogen Atom
13. Many Particle Systems
14. About Atoms and Molecules
15. Time-Dependent PerturbationTheory
16. The Interaction of Charged Particles with the Electromagnetie Field
17. Radiative Decays
18. Selected Topics on Radiation
20. Entanglement and Its Implications
Physical Constants
References
Index
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