Applied Quantum Mechanics Book

	Introduction
Pt. I	Foundations
1	Particles and Waves	1
2	Probability Amplitudes	13
3	The Origins of Quantum Mechanics	29
4	The Schrodinger Equation and Wave Packet Solutions	43
5	Operators, Expectation Values, and Ehrenfest's Theorem	65
Pt. II	The Time-Independent Schrodinger Equation
6	Eigenfunctions and Eigenvalues	89
7	Piecewise Constant Potentials: I	111
8	Piecewise Constant Potentials: II	139
Pt. III	The Simple Harmonic Oscillator
9	The Simple Harmonic Oscillator I	165
10	The Simple Harmonic Oscillator II: Operators	187
11	The Simple Harmonic Oscillator III: Wave Packet Solutions	203
12	The Quantum LC Circuit	223
Pt. IV	Useful Approximations
13	Overview of Approximation Methods for Eigenfunctions	247
14	The WKB Approximation	253
15	The Variational Method	275
16	Finite-Basis Approximation	287
Pt. V	The Two-Level System
17	The Two-Level System with Static Coupling	307
18	The Two-Level System with Dynamical Coupling	327
19	Coupled Two-level System and Simple Harmonic Oscillator	353
Pt. VI	Quantum Systems with Many Degrees of Freedom
20	Problems in More than One Dimension	371
21	Electromagnetic Field Quantization I: Resonator Fields	397
22	Electromagnetic Field Quantization II: Free-Space Fields	419
23	The Density of States	445
24	The Golden Rule: The Calculation of Transition Rates	467
Pt. VII	Statistical Mechanics
25	Basic Concepts of Statistical Mechanics	501
26	Microscopic Quantum Systems in Equilibrium with a Reservoir	519
27	Statistical Models Applied to Metals and Semiconductors	545
Pt. VIII	Hydrogen Atom, Helium Atom, and Molecular Hydrogen
28	The Hydrogen Atom I: The Classical Problem	565
29	The Hydrogen Atom II: The Quantum Problem	577
30	The Hydrogen Atom III: Applications	607
31	Two-Electron Atoms and Ions	629
32	Molecular Hydrogen I: H[subscript 2][superscript +] and H[subscript 2] Electronic Orbitals	651
33	Molecular Hydrogen II: Vibrational and Rotational States	671
Pt. IX	Appendices
App. A	Gaussian Integrals	695
App. B	The Fourier Transform of a Plane Wave	699
App. C	The Probability Flux	701
App. D	Cascaded Matrix Method	703
App. E	The Creation Operator Raises the Index	705
App. F	Canonical Quantization	707
App. G	Wave Packet Incident on a "Gentle" Potential Step	711
App. H	The WKB Representation for Allowed Regions	717
App. I	The WKB Representation for Forbidden Regions	721
App. J	Matrix Elements for the Quartic Well	723
App. K	Normalization and the Unity Operator	725
App. L	The Density Operator and Density Matrix	727
App. M	The Two-Level System Hamiltonian	733
App. N	Thinking about Dirac Notation	735
App. O	Coordinate Rotation and the Two-dimensional SHO	737
App. P	Conservation Law for the Electromagnetic Energy Density	739
App. Q	The Grand Partition Function	743
App. R	Analytic Results for Metal Properties	745
App. S	Saha Equilibrium for a Hydrogen Plasma	751
App. T	Nuclear Magnetic Resonance	757
App. U	The Atomic Force Microscope	763
App. V	The Heisenberg Picture	767
	References	771
	Index	775