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Tables of Contents for From C-Numbers to Q-Numbers
Chapter/Section Title
Page #
Page Count
Acknowledgments
xi
Conventions and Notations
xiii
Introduction
xv
PART A. PLANCK'S RADIATION THEORY
1
78
Introduction
3
4
Concepts of Gas Theory
7
15
Maxwell's Collision Formula
7
6
Boltzmann's Irreversible Equations
13
2
The Nature of Irreversibility
15
4
Summary
19
3
Planck's Absolute Irreversibility
22
17
Against Atoms
22
2
Blackbody Radiation
24
5
Planck's Resonators
29
7
Summary
36
3
On Irreversible Radiation Processes
39
18
A Polemic with Boltzmann
39
2
Natural Radiation
41
10
Planck Versus Boltzmann
51
3
Summary
54
3
The Infrared Challenge
57
22
The Second Derivative of the Resonator Entropy
57
5
Boltzmann's Combinatorics
62
4
Quantified Chaos
66
4
Quantum Continuity
70
3
Summary and Conclusions
73
6
PART B. THE CORRESPONDENCE PRINCIPLE
79
206
Introduction
81
4
The Bohr Atom (1913-1916)
85
17
Horrid Assumptions
85
4
Confirmations and Perturbations
89
4
Periodic Systems
93
5
Summary
98
4
Postulates and Principles
102
48
Multiperiodic Systems
102
16
Einstein's Transition Probabilities
118
3
``On the Quantum Theory of Line Spectra''
121
16
The Meaning of the Correspondence Principle: Magic or Reason?
137
8
Summary
145
5
Harmonic Interplay
150
25
Beyond Multiperiodic Systems
150
4
Building Atoms
154
14
Systematic Calculations
168
3
Summary
171
4
A Crisis
175
38
The Catastrophe of Helium
175
4
Orbit-Killers in the Zeeman Jungle
179
22
The Exclusion Principle
201
8
Summary
209
4
The Virtual Orchestra
213
47
The Theory of Bohr, Kramers, and Slater (BKS)
214
10
Dispersion Theory
224
11
Intensities
235
11
The Fall of the BKS Theory
246
9
Summary
255
5
Matrix Mechanics
260
25
From Copenhagen to Gottingen
260
3
Umdeutung
263
10
Guiding Principles
273
3
Epilogue
276
4
Summary and Conclusions
280
5
PART C. DIRAC'S QUANTUM MECHANICS
285
64
Introduction
287
4
Classical Beauty
291
18
Noncommutative Geometry
291
6
The Lesson of Relativity
297
7
The Art of Action-Angle Variables
304
2
Summary
306
3
Queer Numbers
309
20
Poisson Resurrected
309
8
The Canonical Method
317
2
Quantum Algebra
319
6
Summary
325
4
Quantum Beauty
329
20
Schrodinger's Equation
329
4
Transformations
333
10
Welcome to Copenhagen
343
2
Summary and Conclusions
345
4
Bibliographical Guide
349
5
Abbreviations Used in Citations and in the Bibliography
354
2
Bibliography of Secondary Literature
356
12
Bibliography of Primary Literature
368
13
Index
381