Forces of the Quantum Vacuum: An Introduction to Casimir Physics

Simpson W.M.R.(ed.),Leonhardt U. (ed.) Forces of the Quantum Vacuum_ An Introduction to Casimir Physics (WS,2015)(ISBN 9789814632911)(600dpi)(274p)  ......Page 3
Copyright ......Page 4
Contents vii ......Page 6
Foreword 1 ......Page 10
Introduction 3 ......Page 12
1.1. Light as a particle 7 ......Page 16
1.3. The photon 8 ......Page 17
2. Classical electrodynamics in free space 9 ......Page 18
2.1. Normal modes in free space 11 ......Page 20
2.2. Normal modes inside a cuboid cavity 13 ......Page 22
2.3. Normal modes: general remarks 15 ......Page 24
2.5. Energy of the electromagnetic field 16 ......Page 25
3.1. Basic elements of quantum theory 18 ......Page 27
3.2. The quantised electromagnetic field 20 ......Page 29
3.3. Quantum statistics and Fock states 21 ......Page 30
3.4. Energy of the electromagnetic field 23 ......Page 32
3.5. Quantum dynamics of the electromagnetic field 24 ......Page 33
4. The quantum vacuum 25 ......Page 34
4.1. Vacuum fluctuations 26 ......Page 35
4.2. Thermal fluctuations 27 ......Page 36
5.1. Atom-field interactions 29 ......Page 38
5.2. Lamb shift 32 ......Page 41
5.3. Spontaneous decay 36 ......Page 45
5.4. Electron magnetic moment 38 ......Page 47
5.5. Van der Waals potential 39 ......Page 48
6. Quantum vacuum effects near boundaries 40 ......Page 49
6.2. Purcell effect 41 ......Page 50
7.1. Perfectly conducting plates 42 ......Page 51
7.2. Conducting and permeable plates 48 ......Page 57
7.3. Thermal effects 49 ......Page 58
8.1. Vacuum energy 51 ......Page 60
8.3. Virtual photons 52 ......Page 61
9.1. Advantages 53 ......Page 62
9.2. Limitations 54 ......Page 63
10. Problems 55 ......Page 64
11. Bibliography 56 ......Page 65
12. Introduction 61 ......Page 70
13. Van der Waals interaction 64 ......Page 73
13.1. Quasistatic analysis 65 ......Page 74
13.2. Electrodynamic analysis 67 ......Page 76
14.1. Quasistatic analysis 87 ......Page 96
14.2. Electrodynamic analysis 89 ......Page 98
15. A few comments 93 ......Page 102
16.1. Example: non-additivity in atom-surface interaction 97 ......Page 106
16.2. Multiple scattering as the origin of non-additivity 100 ......Page 109
17. Problems 103 ......Page 112
18. Bibliography 105 ......Page 114
Chapter 3 The Casimir stress in real materials 107 ......Page 116
19. Dispersion and dissipation in real media 108 ......Page 117
19.1. Dipole model of the optical response 109 ......Page 118
19.2. The Kramers-Kronig relations 110 ......Page 119
19.3. Generalised mode decomposition 113 ......Page 122
19.4. Open quantum systems and Langevin equations 115 ......Page 124
19.5. Linear fluctuation-dissipation theorem 117 ......Page 126
20. The stress tensor in vacuum 119 ......Page 128
21. Lifshitz theory of dispersion forces 121 ......Page 130
21.2. Lifshitz’s approach to the Casimir force 122 ......Page 131
21.3. Green function approach 128 ......Page 137
21.4. Thermal contribution to Casimir-Lifshitz forces 134 ......Page 143
22. Problems 136 ......Page 145
23. Bibliography 137 ......Page 146
24. Preliminary remarks 139 ......Page 148
25. An introduction to macroscopic QED 140 ......Page 149
25.1. Macroscopic QED in one dimension 141 ......Page 150
25.2. Macroscopic QED in three dimensions 158 ......Page 167
26. Vacuum forces between moving bodies 164 ......Page 173
26.1. Moving bodies in ID macroscopic QED 165 ......Page 174
26.2. Computing classical forces 167 ......Page 176
26.3. Quantum theory of radiation pressure 170 ......Page 179
26.4. The vacuum force 173 ......Page 182
26.5. A simple case of quantum friction 175 ......Page 184
26.6. Moving bodies in 3D macroscopic QED 178 ......Page 187
26.7. Quantum friction between sliding plates 183 ......Page 192
27. Problems 189 ......Page 198
28. Bibliography 191 ......Page 200
Chapter 5 Measuring Casimir phenomena 195 ......Page 204
29. General experimental considerations 196 ......Page 205
30. Representative experimental results 197 ......Page 206
30.1. Early results 198 ......Page 207
30.2. Beginning of the “modern Casimir era” 199 ......Page 208
30.3. Effect of material properties 203 ......Page 212
30.4. Effects of temperature 210 ......Page 219
30.5. Recent directions 212 ......Page 221
31. Techniques for measurement 213 ......Page 222
31.1. Minimum detectable interaction 215 ......Page 224
32.1. Static method 216 ......Page 225
32.2. Dynamic method 218 ......Page 227
33. Measurement of the separation 219 ......Page 228
34. Calibration of the apparatus 220 ......Page 229
36. Problems 222 ......Page 231
37. Bibliography 224 ......Page 233
38. Experimental issues in Casimir physics 227 ......Page 236
38.1. Drude or plasma? 228 ......Page 237
38.2. Patch potentials 230 ......Page 239
39.1. Repulsive shells and Casimir’s electron 232 ......Page 241
39.2. Divergence of the Casimir stress 234 ......Page 243
39.3. Maxwell’s fisheye and renormalisation 238 ......Page 247
39.4. The Casimir effect and cosmology 241 ......Page 250
40. Bibliography 244 ......Page 253
Further reading 247 ......Page 256
A. Point-splitting regularisation 251 ......Page 260
B. Dimensional regularisation 253 ......Page 262
C. Zeta-function regularisation 255 ......Page 264
Index 257 ......Page 266
About the authors 263 ......Page 272
cover......Page 1