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ОбложкаForces of the quantum vacuum: an introduction to Casimir physics / eds.: W.M.R.Sipmson, U.Leonhardt. - Singapore: World scientific, 2015. - x, 264 p.: ill. - Bibliogr. at the end of the chapters. - Ind.: p.257-261. - ISBN 978-981-4632-90-4
Шифр: (И/В31-F75) 02
 

Место хранения: 02 | Отделение ГПНТБ СО РАН | Новосибирск

Оглавление / Contents
 
Foreword ........................................................ 1
Introduction .................................................... 3

Chapter 1  Normal mode quantum electrodynamics: the quantum
vacuum and its consequences ..................................... 7
1  Wave-particle duality ........................................ 7
   1.1  Light as a particle ..................................... 7
   1.2  Light as a wave ......................................... 8
   1.3  The photon .............................................. 8
2  Classical electrodynamics in free space ...................... 9
   2.1  Normal modes in free space ............................. 11
   2.2  Normal modes inside a cuboid cavity .................... 13
   2.3  Normal modes: general remarks .......................... 15
   2.4  Electromagnetic waves .................................. 16
   2.5  Energy of the electromagnetic field .................... 16
3  Normal mode quantum electrodynamics ......................... 18
   3.1  Basic elements of quantum theory ....................... 18
   3.2  The quantised electromagnetic field .................... 20
   3.3  Quantum statistics and Fock states ..................... 21
   3.4  Energy of the electromagnetic field .................... 23
   3.5  Quantum dynamics of the electromagnetic field .......... 24
4  The quantum vacuum .......................................... 25
   4.1  Vacuum fluctuations .................................... 26
   4.2  Thermal fluctuations ................................... 27
5  Quantum vacuum effects in free space ........................ 29
   5.1  Atom-field interactions ................................ 29
   5.2  Lamb shift ............................................. 32
   5.3  Spontaneous decay ...................................... 36
   5.4  Electron magnetic moment ............................... 38
   5.5  Van der Waals potential ................................ 39
6  Quantum vacuum effects near boundaries ...................... 40
   6.1  Casimir-Polder potential ............................... 41
   6.2  Purcell effect ......................................... 41
   6.3  Electron magnetic moment ............................... 42
   6.4  Van der Waals potential ................................ 42
7  The Casimir force ........................................... 42
   7.1  Perfectly conducting plates ............................ 42
   7.2  Conducting and permeable plates ........................ 48
   7.3  Thermal effects ........................................ 49
8  The quantum vacuum revisited ................................ 51
   8.1  Vacuum energy .......................................... 51
   8.2  Changes in vacuum energy ............................... 52
   8.3  Virtual photons ........................................ 52
9  Normal mode QED: discussion ................................. 53
   9.1  Advantages ............................................. 53
   9.2  Limitations ............................................ 54
10 Problems .................................................... 55
11 Bibliography ................................................ 56

Chapter 2  Van der Waals and Casimir-Polder dispersion forces .. 61
12 Introduction ................................................ 61
13 Van der Waals interaction ................................... 64
   13.1 Quasistatic analysis ................................... 65
   13.2 Electrodynamic analysis ................................ 67
14 Casimir-Polder atom-surface interaction ..................... 87
   14.1 Quasistatic analysis ................................... 87
   14.2 Electrodynamic analysis ................................ 89
15 A few comments .............................................. 93
16 Non-additivity of dipolar interactions ...................... 97
   16.1 Example: non-additivity in atom-surface interaction .... 97
   16.2 Multiple scattering as the origin of non-additivity ... 100
17 Problems ................................................... 103
18 Bibliography ............................................... 105

Chapter 3  The Casimir stress in real materials ............... 107
19 Dispersion and dissipation in real media ................... 108
   19.1 Dipole model of the optical response .................. 109
   19.2 The Kramers-Kronig relations .......................... 110
   19.3 Generalised mode decomposition ........................ 113
   19.4 Open quantum systems and Langevin equations ........... 115
   19.5 Linear fluctuation-dissipation theorem ................ 117
20 The stress tensor in vacuum ................................ 119
21 Lifshitz theory of dispersion forces ....................... 121
   21.1 Rytov's theory of fluctuating electromagnetic fields .. 122
   21.2 Lifshitz's approach to the Casimir force .............. 122
   21.3 Green function approach ............................... 128
   21.4 Thermal contribution to Casimir-Lifshitz forces ....... 134
22 Problems ................................................... 136
23 Bibliography ............................................... 137

Chapter 4 Macroscopic QED and vacuum forces ................... 139
24 Preliminary remarks ........................................ 139
25 An introduction to macroscopic QED ......................... 140
   25.1 Macroscopic QED in one dimension ...................... 141
   25.2 Macroscopic QED in three dimensions ................... 158
26 Vacuum forces between moving bodies ........................ 164
   26.1 Moving bodies in ID macroscopic QED ................... 165
   26.2 Computing classical forces ............................ 167
   26.3 Quantum theory of radiation pressure .................. 170
   26.4 The vacuum force ...................................... 173
   26.5 A simple case of quantum friction ..................... 175
   26.6 Moving bodies in 3D macroscopic QED ................... 178
   26.7 Quantum friction between sliding plates ............... 183
27 Problems ................................................... 189
28 Bibliography ............................................... 191
   Chapter 5 Measuring Casimir phenomena ...................... 195
   29 General experimental considerations ..................... 196
30 Representative experimental results ........................ 197
   30.1 Early results ......................................... 198
   30.2 Beginning of the "modern Casimir era" ................. 199
   30.3 Effect of material properties ......................... 203
   30.4 Effects of temperature ................................ 210
   30.5 Recent directions ..................................... 212
31 Techniques for measurement ................................. 213
   31.1 Minimum detectable interaction ........................ 215
32 Measurement of the interaction ............................. 216
   32.1 Static method ......................................... 216
   32.2 Dynamic method ........................................ 218
33 Measurement of the separation .............................. 219
34 Calibration of the apparatus ............................... 220
35 Comparison with theory ..................................... 222
36 Problems ................................................... 222
37 Bibliography ............................................... 224
   Chapter 6 Casimir forces at the cutting edge ............... 227
38 Experimental issues in Casimir physics ..................... 227
   38.1 Drude or plasma? ...................................... 228
   38.2 Patch potentials ...................................... 230
39 Theoretical questions in Casimir physics ................... 232
   39.1 Repulsive shells and Casimir's electron ............... 232
   39.2 Divergence of the Casimir stress ...................... 234
   39.3 Maxwell's fisheye and renormalisation ................. 238
   39.4 The Casimir effect and cosmology ...................... 241
40 Bibliography ............................................... 244
   Further reading ............................................ 247

Appendix: Regularisation techniques ........................... 251
A Point-splitting regularisation .............................. 251
B Dimensional regularisation .................................. 253
C Zeta-function regularisation ................................ 255

Index ......................................................... 257
About the authors ............................................. 263

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