Introductory Applied Quantum and Statistical Mechanics > 물리학

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