Quantum mathematical physics : atoms, molecules and large systems

This book is a new edition of Volumes 3 and 4 of Walter Thirring's famous textbook on mathematical physics. The first part is devoted to quantum mechanics and especially to its applications to scattering theory, atoms and molecules. The second part deals with quantum statistical mechanics examining fundamental concepts like entropy, ergodicity and thermodynamic functions.

Preface	p. v
Preface to the Second Edition: Quantum Mechanics of Atoms and Molecules	p. vii
Preface to the First Edition: Quantum Mechanics of Atoms and Molecules	p. ix
Preface to the First Edition: Quantum Mechanics of Large Systems	p. xi
Symbols Defined in the Text	p. xv
I Quantum Mechanics of Atoms and Molecules	p. 1
1 Introduction	p. 3
1.1 The Structure of Quantum Theory	p. 3
1.2 The Orders of Magnitude of Atomic Systems	p. 5
2 The Mathematical Formulation of Quantum Mechanics	p. 11
2.1 Linear Spaces	p. 11
2.2 Algebras	p. 23
2.3 Representations on Hilbert Space	p. 40
2.4 One-Parameter Groups	p. 55
2.5 Unbounded Operators and Quadratic Forms	p. 68
3 Quantum Dynamics	p. 85
3.1 The Weyl System	p. 85
3.2 Angular Momentum	p. 96
3.3 Time-Evolution	p. 105
3.4 The Limit t \to \pm \infty	p. 122
3.5 Perturbation Theory	p. 141
3.6 Stationary Scattering Theory	p. 162
4 Atomic Systems	p. 185
4.1 The Hydrogen Atom	p. 185
4.2 The Hydrogen Atom in an External Field	p. 199
4.3 Helium-like Atoms	p. 210
4.4 Scattering Theory of Simple Atoms	p. 239
4.5 Complex Atoms	p. 254
4.6 Nuclear Motion and Simple Molecules	p. 266
II Quantum Mechanics of Large Systems	p. 281
1 Systems with Many Particles	p. 283
1.1 Equilibrium and Irreversibility	p. 283
1.2 The Limit of an Infinite Number of Particles	p. 293
1.3 Arbitrary Numbers of Particles in Fock Space	p. 302
1.4 Representations with N = \infty	p. 312
2 Thermostatics	p. 327
2.1 The Ordering of the States	p. 327
2.2 The Properties of Entropy	p. 339
2.3 The Microcanonical Ensemble	p. 352
2.4 The Canonical Ensemble	p. 382
2.5 The Grand Canonical Ensemble	p. 396
3 Thermodynamics	p. 423
3.1 Time-Evolution	p. 423
3.2 The Equilibrium State	p. 452
3.3 Stability and Passivity	p. 470
3.4 Quantum Ergodic Theory	p. 486
4 Physical Systems	p. 501
4.1 Thomas-Fermi Theory	p. 501
4.2 Cosmic Bodies	p. 534
4.3 Normal Matter	p. 548
Bibliography to Part I	p. 569
Bibliography to Part II	p. 579
Index	p. 589

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