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Tables of Contents for Quantum Mathematical Physics
Chapter/Section Title
Page #
Page Count
Preface
v
Preface to the Second Edition: Quantum Mechanics of Atoms and Molecules
vii
Preface to the First Edition: Quantum Mechanics of Atoms and Molecules
xi
Preface to the First Edition: Quantum Mechanics of Large Systems
xi
Symbols Defined in the Text
xv
I Quantum Mechanics of Atoms and Molecules
1
280
Introduction
3
8
The Structure of Quantum Theory
3
2
The Orders of Magnitude of Atomic Systems
5
6
The Mathematical Formulation of Quantum Mechanics
11
74
Linear Spaces
11
12
Algebras
23
17
Representations on Hilbert Space
40
15
One-Parameter Groups
55
13
Unbounded Operators and Quadratic Forms
68
17
Quantum Dynamics
85
100
The Weyl System
85
11
Angular Momentum
96
9
Time-Evolution
105
17
The Limit t → ± ∞
122
19
Perturbation Theory
141
21
Stationary Scattering Theory
162
23
Atomic Systems
185
96
The Hydrogen Atom
185
14
The Hydrogen Atom in an External Field
199
11
Helium-like Atoms
210
29
Scattering Theory of Simple Atoms
239
15
Complex Atoms
254
12
Nuclear Motion and Simple Molecules
266
15
II Quantum Mechanics of Large Systems
281
288
Systems with Many Particles
283
44
Equilibrium and Irreversibility
283
10
The Limit of an Infinite Number of Particles
293
9
Arbitrary Numbers of Particles in Fock Space
302
10
Representations with N = ∞
312
15
Thermostatics
327
96
The Ordering of the States
327
12
The Properties of Entropy
339
13
The Microcanonical Ensemble
352
30
The Canonical Ensemble
382
14
The Grand Canonical Ensemble
396
27
Thermodynamics
423
78
Time-Evolution
423
29
The Equilibrium State
452
18
Stability and Passivity
470
16
Quantum Ergodic Theory
486
15
Physical Systems
501
68
Thomas-Fermi Theory
501
33
Cosmic Bodies
534
14
Normal Matter
548
21
Bibliography
569
10
Index
579