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V.M. Fain, Ya I. Khanin, "Quantum Electronics, Volume 1: Basic Theory"

Contents of Volume 1

FOREWORD

PREFACE TO THE ENGLISH EDmON

INTRODUCTION

VOLUME 1. BASIC THEORY

CHAPTER I. THE QUANTUM THEORY OF THE INTERACTION OF RADIATION WITH MATTER 3

1. The basic concepts of the quantum theory 3

2. The change of quantum state with time 14

3. The quantum theory of fields in ideal resonators, waveguides and free space 20

4. The interaction of matter with a field + 36

5. Non-stationary perturbation theory. Transition probability 44

CHAPTER II. THE QUANTUM THEORY OF RELAXATION PROCESSES 51

6. General properties of irreversible processes 53

7. The quantum transport equation in r-space 60

8. The transport equation in p-space 75

9. The principle of the increase of entropy 81

10. The transport equation description of fluctuations 85

CHAPTER III QUANTUM EFFECTS ApPEARING IN THE INTERACTION OF FREE ELECTRONS WITH HIGH-FREQUENCY FIELDS IN RESONATORS 90

11. The quantum theory of fields in lossy reSOnators 90

12. Quantum effects in the interaction of electrons with the field in a resonator 95

13. Effectsconnected with the quantum nature ofthemotionofanelectron.

CHAPTER IV. THE BEHAVIOUR OF QUANTUM SYSTEMS IN WEAK FIELDS 114

14. Susceptibility 114

15. Symmetry relations for the susceptibility 119

16. The dispersion relations 121

17. The fiuctuation-dissipation theorem 122

18. Multi-level systems. The absorption line shape 125

19. Two-level systems 128

20. The method of moments. Spin-spin relaxation 139

21. Cross-relaxation 143

CHAPTER V. THE BEHAVIOUR OF QUANTUM SYSTEMS IN STRONG FIELDS 151

22. The non-linear properties of a medium 151

23. Two-level systems in a strong field 166

24. Three-level systems 174

25. Distributed systems, taking account of the motion of the molecules 186

CHAPTER VI. SPONTANEOUS AND STIMULATED EMISSION 194

26. The concept of spontaneous and stimulated emission 194

27. The classical discussion 196

28. The quantum theory of spontaneous and stimulated emission in a system of two-level molecules 204

29. The correspondence principle 209

30. General expressions for the intensities of spontaneous and stimulated emission 213

CHAPTER VII. SPONTANEOUS AND STIMULATED EMISSION IN FREE SPACE 220

31. Coherence during spontaneous emission 220

32. Balance equations and transport equations 228

33. The natural width and shift of the emission line 234

34. Radiation from a system whose dimensions are much larger than the wavelength 240

CHAPTER VIII. EMISSION IN A RESONATOR 244

35. The fundamental equations 244

36. Free motion (with no external field) 249

37. Stimulated and spontaneous emission in a resonator 256

CHAPTER IX. NON-LINEAR EFFECTS IN OPTICS 265

38. Two-quantum processes. The Raman effect, stimulated and spontaneous emission 268

39. The propagation of parametrically coupled electromagnetic waves 282

40. Stimulated Raman emission 296

ApPENDIX I 304

A.I. The singular functions 304

REFERENCES 307

INDEX 311

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