Casimir physics:
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| Other Authors: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2011
|
| Series: | Lecture notes in physics
834 |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XIII, 457 S. Ill., graph. Darst. 24 cm |
| ISBN: | 9783642202872 364220287X |
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IMAGE 1
CONTENTS
1 INTRODUCTION 1
1.1 HOW THE CASIMIR FORCE WAS DISCOVERED 1
1.2 ZERO-POINT ENERGY 3
1.3 THE LIFSHITZ THEORY AND ITS GENERALIZATIONS 9
1.4 OVERVIEW OF EXPERIMENTS 14
1.5 SOME OTHER ASPECTS OF CASIMIR FORCES 16
1.6 BRIEF OUTLINE OF THIS BOOK 18
REFERENCES 20
2 ON THE PROBLEM OF VAN DER WAALS FORCES IN DIELECTRIC MEDIA . . 23 2.1
INTRODUCTION 23
2.2 FREE ENERGY OF THE EQUILIBRIUM ELECTROMAGNETIC FIELD IN AN ABSORBING
MEDIUM 28
2.3 STRESS TENSOR OF THE VAN DER WAALS INTERACTION INSIDE AN ABSORBING
MEDIUM 30
2.4 VAN DER WAALS FORCES BETWEEN BODIES SEPARATED BY A LIQUID 32
2.4.1 INTERACTION OF A SMALL SPHERE WITH A PLANE BODY . . . 33 2.4.2
INTERACTION BETWEEN TWO PARALLEL PLATES 34
2.5 REMARKS ABOUT REPULSIVE INTERACTIONS 34
2.6 LIQUID FILMS 35
REFERENCES 36
3 LOCAL AND GLOBAL CASIMIR ENERGIES: DIVERGENCES, RENORMALIZATION, AND
THE COUPLING TO GRAVITY 39
3.1 INTRODUCTION 40
3.2 CASIMIR EFFECT BETWEEN PARALLEL PLATES: A ^-POTENTIAL DERIVATION 41
3.2.1 TM MODES 46
3.2.2 SELF-ENERGY OF BOUNDARY LAYER 49
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1010478753
DIGITALISIERT DURCH
IMAGE 2
VIII CONTENTS
3.3 SURFACE AND VOLUME DIVERGENCES 51
3.4 CASIMIR FORCES ON SPHERES VIA 5-FUNCTION POTENTIALS 55 3.4.1 TM
SPHERICAL POTENTIAL 59
3.4.2 EVAVLUATION OF CASIMIR ENERGY FOR A DIRICHLET SPHERICAL SHELL 61
3.4.3 SURFACE DIVERGENCES IN THE ENERGY DENSITY 65
3.4.4 TOTAL ENERGY AND RENORMALIZATION 67
3.5 SEMITRANSPARENT CYLINDER 68
3.5.1 CYLINDER PRESSURE AND ENERGY 69
3.5.2 WEAK-COUPLING EVALUATION 71
3.5.3 STRONG COUPLING 76
3.5.4 LOCAL ENERGY DENSITY 78
3.5.5 TOTAL AND SURFACE ENERGY 79
3.5.6 SURFACE DIVERGENCES 79
3.6 GRAVITATIONAL ACCELERATION OF CASIMIR ENERGY 82
3.6.1 GREEN'S FUNCTIONS IN RINDLER COORDINATES 82
3.6.2 GRAVITATIONAL ACCELERATION OF CASIMIR APPARATUS . . . 85 3.6.3
SUMMARY 89
3.7 CONCLUSIONS 89
REFERENCES 91
4 CASIMIR EFFECT IN THE SCATTERING APPROACH: CORRELATIONS BETWEEN
MATERIAL PROPERTIES, TEMPERATURE AND GEOMETRY 97 4.1 INTRODUCTION 97
4.2 COMPARISON OF CASIMIR FORCE MEASUREMENTS WITH THEORY. 98 4.2.1
THE DESCRIPTION OF METALLIC MIRRORS 98
4.2.2 THE ROLE OF GEOMETRY 100
4.3 THE SCATTERING APPROACH 101
4.3.1 MIRRORS ON A 1-DIMENSIONAL LINE 102
4.3.2 SPECULAR REFLECTION IN 3-D SPACE 104
4.3.3 THE NON-SPECULAR SCATTERING FORMULA 106
4.4 APPLICATIONS TO NON-TRIVIAL GEOMETRIES 107
4.4.1 PERTURBATIVE TREATMENT OF SHALLOW CORRUGATIONS 107 4.4.2
NON-PERTURBATIVE CALCULATIONS WITH DEEP GRATINGS . . 110 4.4.3 EXACT
CALCULATIONS IN THE PLANE-SPHERE GEOMETRY. . . 115 4.5 CONCLUSION 121
REFERENCES 121
5 GEOMETRY AND MATERIAL EFFECTS IN CASIMIR PHYSICS-SCATTERING THEORY 129
5.1 INTRODUCTION 130
5.2 GENERAL THEORY FOR CASIMIR INTERACTIONS 135
5.2.1 PATH INTEGRAL QUANTIZATION 135
5.2.2 GREEN'S FUNCTION EXPANSIONS AND TRANSLATION FORMULAS 138
IMAGE 3
CONTENTS IX
5.2.3 CLASSICAL SCATTERING OF ELECTROMAGNETIC FIELDS 140 5.2.4 CASIMIR
FREE ENERGY IN TERMS OF THE SCATTERING AMPLITUDES 143
5.3 CONSTRAINTS ON STABLE EQUILIBRIA 148
5.4 APPLICATIONS 152
5.4.1 CYLINDERS, WIRES, AND PLATE 153
5.4.2 THREE-BODY EFFECTS 157
5.4.3 ORIENTATION DEPENDENCE 161
5.4.4 EDGE AND FINITE SIZE EFFECTS 164
5.4.5 INTERIOR CONFIGURATIONS 166
REFERENCES 170
6 NUMERICAL METHODS FOR COMPUTING CASIMIR INTERACTIONS 175 6.1
INTRODUCTION 175
6.2 CHARACTERIZATION OF NUMERICAL METHODS: THREE AXES 177 6.2.1 POSING
CASIMIR PROBLEMS 177
6.2.2 CHOICES OF BASIS 179
6.2.3 SOLUTION TECHNIQUES FOR LINEAR EQUATIONS 180
6.3 THE IMPRACTICALITY OF EIGENMODE SUMMATIONS 183
6.4 THE COMPLEX-FREQUENCY PLANE AND CONTOUR CHOICES 184 6.5 MEAN
ENERGY/FORCE DENSITIES AND THE FLUCTUATION-DISSIPATION THEOREM 186
6.5.1 BACKGROUND 187
6.5.2 FINITE-DIFFERENCE FREQUENCY-DOMAIN (FDFD) 192 6.5.3
BOUNDARY-ELEMENT METHODS (BEMS) 194
6.5.4 OTHER POSSIBILITIES: FEM AND SPECTRAL METHODS 197 6.5.5
FINITE-DIFFERENCE TIME-DOMAIN (FDTD) METHODS . . 198 6.5.6 ACCELERATING
FD CONVERGENCE 200
6.6 PATH INTEGRALS AND SCATTERING MATRICES 201
6.6.1 MONTE-CARLO PATH INTEGRATION 203
6.6.2 SPECTRAL METHODS 204
6.6.3 BOUNDARY-ELEMENT METHODS (BEMS) 206
6.6.4 HYBRID BEM/SPECTRAL METHODS 207
6.6.5 EIGENMODE-EXPANSION/RCWA METHODS 208
6.7 PERIODICITY AND OTHER SYMMETRIES 210
6.8 NONZERO-TEMPERATURE CORRECTIONS 211
6.9 CONCLUDING REMARKS 212
REFERENCES 213
7 PROGRESS IN EXPERIMENTAL MEASUREMENTS OF THE SURFACE-SURFACE CASIMIR
FORCE: ELECTROSTATIC CALIBRATIONS AND LIMITATIONS TO ACCURACY 219
7.1 INTRODUCTION 219
7.2 MOTIVATION FOR THE EXPERIMENTAL STUDY OF THE CASIMIR FORCE: SOME
RECENT RESULTS 223
IMAGE 4
X CONTENTS
7.2.1 PROGRESS IN UNDERSTANDING THE FUNDAMENTAL CASIMIR FORCE 224
7.2.2 THE DETECTION OF NEW LONG RANGE FORCES 226
7.2.3 MODIFICATION OF THE CASIMIR FORCE 227
7.2.4 HYDROGEN SWITCHABLE MIRROR 229
7.2.5 GEOMETRICAL BOUNDARY EFFECTS 229
7.2.6 REPULSIVE CASIMIR EFFECT 231
7.3 APPROXIMATIONS, ELECTROSTATIC CALIBRATIONS, AND BACKGROUND EFFECTS
233
7.3.1 INCLUSION OF THE DEBYE SCREENING LENGTH? 235
7.3.2 VARIABLE CONTACT POTENTIAL 238
7.3.3 PATCH POTENTIAL EFFECTS 240
7.4 CONCLUSIONS AND OUTLOOKS 245
REFERENCES 246
8 ATTRACTIVE AND REPULSIVE CASIMIR-LIFSHITZ FORCES, QED TORQUES, AND
APPLICATIONS TO NANOMACHINES 249
8.1 INTRODUCTION 250
8.2 MEMS BASED ON THE CASIMIR FORCE 254
8.2.1 ACTUATORS 254
8.2.2 NONLINEAR OSCILLATORS 256
8.3 THE DESIGN AND CONTROL OF CASIMIR FORCES 259
8.3.1 MODIFICATION OF THE CASIMIR FORCE BY SURFACE NANOSTRUCTURING 259
8.3.2 MODIFICATION OF THE CASIMIR FORCE BETWEEN METALLIC FILMS USING THE
SKIN-DEPTH EFFECT 263
8.3.3 CASIMIR FORCE EXPERIMENTS WITH TRANSPARENT MATERIALS 264
8.3.4 CASIMIR FORCES IN A FLUID 266
8.3.5 REPULSIVE FORCES AND CASIMIR LEVITATION 268
8.3.6 DEVICES BASED ON REPULSIVE CASIMIR FORCES 273 8.4 QED TORQUE 274
8.5 FUTURE DIRECTIONS 278
8.5.1 PHASE TRANSITIONS AND THE CASIMIR EFFECT 279
8.5.2 SELF ASSEMBLY AND SORTING VIA THE CASIMIR-LIFSHITZ FORCE 279
8.5.3 CASIMIR FRICTION 280
8.5.4 DYNAMIC CASIMIR EFFECT 280
8.6 CONCLUSIONS 281
REFERENCES 281
9 CASIMIR FORCE IN MICRO AND NANO ELECTRO MECHANICAL SYSTEMS . . . 287
9.1 INTRODUCTION 287
9.2 MICRO AND NANO ELECTRO MECHANICAL SYSTEMS 290
IMAGE 5
CONTENTS XI
9.3 EXPERIMENTAL ASPECTS ON THE DETERMINATION OF THE CASIMIR INTERACTION
292
9.4 CALIBRATIONS 295
9.5 DETERMINATION OF THE CASIMIR INTERACTION 297
9.6 CURRENT DISCUSSIONS IN THE PRECISE DETERMINATION OF THE CASIMIR
FORCE 299
9.7 FUTURE DIRECTIONS: IMPROVED MICROMECHANICAL FORCE SENSORS 302
REFERENCES 307
10 CHARACTERIZATION OF OPTICAL PROPERTIES AND SURFACE ROUGHNESS
PROFILES: THE CASIMIR FORCE BETWEEN REAL MATERIALS 311 10.1 INTRODUCTION
312
10.2 OPTICAL PROPERTIES OF MATERIALS AND THE CASIMIR FORCE 313 10.2.1
DIELECTRIC FUNCTION IN THE CASIMIR FORCE 314
10.2.2 GOLD FILMS 317
10.2.3 LOW PERMITTIVITY DIELECTRIC MATERIALS 325
10.3 INFLUENCE OF SURFACE ROUGHNESS ON THE CASIMIR-LIFSHITZ FORCE 328
10.3.1 MAIN CHARACTERISTICS OF A ROUGH SURFACE 329
10.3.2 ROUGHNESS CORRECTION 330
10.3.3 DISTANCE UPON CONTACT 335
10.4 CONCLUSIONS 340
REFERENCES 340
11 FLUCTUATION-INDUCED FORCES BETWEEN ATOMS AND SURFACES: THE
CASIMIR-POLDER INTERACTION 345
11.1 INTRODUCTION 345
11.2 UNDERSTANDING ATOM-SURFACE INTERACTIONS 348
11.2.1 ENERGY OF A POLARIZABLE PARTICLE IN AN ELECTROMAGNETIC FIELD 349
11.2.2 EQUILIBRIUM FLUCTUATIONS 352
11.2.3 POLARIZABILITY TENSOR 354
11.2.4 NON-PERTURBATIVE LEVEL SHIFT 357
11.3 ATOMS AND A PLANAR SURFACE 360
11.3.1 BEHAVIOUR OF THE GREEN FUNCTION 360
11.3.2 ASYMPTOTIC POWER LAWS 363
11.4 BEYOND EQUILIBRIUM 365
11.4.1 OVERVIEW 365
11.4.2 ATOMS IN A GIVEN STATE AND FIELD IN THERMAL EQUILIBRIUM 365
11.4.3 MOVING ATOMS 367
11.4.4 NON-EQUILIBRIUM FIELD 372
IMAGE 6
XII CONTENTS
11.5 MEASUREMENTS OF THE ATOM-SURFACE FORCE WITH COLD ATOMS 378
11.5.1 OVERVIEW 378
11.5.2 FROM VAN DER WAALS TO CASIMIR-POLDER: EQUILIBRIUM 379
11.5.3 THE EXPERIMENTS OF THE E. CORNELL GROUP 382
11.6 CONCLUSION 385
REFERENCES 386
12 MODERN EXPERIMENTS ON ATOM-SURFACE CASIMIR PHYSICS 393 12.1
INTRODUCTION 393
12.2 THE HISTORY OF CASIMIR-POLDER EXPERIMENTS 394
12.3 THE ATOM-SURFACE INTERACTION 402
12.3.1 PRACTICAL APPLICATION OF THE LIFSHITZ FORMULA 402 12.3.2
LIMITATIONS OF THE LIFSHITZ THEORY 403
12.3.3 HIGHER ORDERS OF PERTURBATION THEORY 403
12.3.4 EFFECT OF MULTIPOLE POLARIZABILITIES 404
12.3.5 EFFECTS OF NON-ZERO TEMPERATURE 406
12.3.6 RELATIVISTIC AND RADIATIVE CORRECTIONS 407
12.3.7 EFFECTS OF NONPLANAR GEOMETRY AND NONUNIFORMITY 407
12.4 MODERN CASIMIR-POLDER EXPERIMENTS 408
12.4.1 THE HEIDELBERG APPROACH 410
REFERENCES 416
13 FLUCTUATIONS, DISSIPATION AND THE DYNAMICAL CASIMIR EFFECT 419 13. 1
INTRODUCTION 419
13.2 DISSIPATIVE EFFECTS OF THE QUANTUM VACUUM 422
13.2.1 ID MODELS 422
13.2.2 CASIMIR-DRIVEN DECOHERENCE 425
13.2.3 3D MODELS 427
13.3 QUANTUM FRICTION 429
13.4 RESONANT PHOTON CREATION IN TIME DEPENDENT CAVITIES 432 13.4.1
DYNAMICAL CASIMIR EFFECT IN ID CAVITIES 432
13.4.2 PHOTON CREATION IN 3D CAVITIES 436
13.4.3 TIME DEPENDENT ELECTROMAGNETIC PROPERTIES 444 13.5 EXPERIMENTAL
PERSPECTIVES 448
13.5.1 HIGH FREQUENCY RESONATORS AND PHOTON DETECTION VIA SUPERRADIANCE
449
13.5.2 TIME DEPENDENT CONDUCTIVITY INDUCED BY ULTRA- SHORT LASER PULSES
449
13.5.3 OPTICAL PARAMETRIC OSCILLATORS 450
13.5.4 SUPERCONDUCTING COPLANAR WAVEGUIDES 451
13.6 FINAL REMARKS 451
REFERENCES 453 |
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| indexdate | 2024-07-21T00:06:38Z |
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| isbn | 9783642202872 364220287X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024372736 |
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| physical | XIII, 457 S. Ill., graph. Darst. 24 cm |
| publishDate | 2011 |
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| series | Lecture notes in physics |
| series2 | Lecture notes in physics |
| spelling | Casimir physics Diego Dalvit ... (ed.) Berlin [u.a.] Springer 2011 XIII, 457 S. Ill., graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Lecture notes in physics 834 Literaturangaben Casimir-Effekt (DE-588)4375133-7 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Casimir-Effekt (DE-588)4375133-7 s DE-604 Dalvit, Diego A. R. (DE-588)101375588X edt Erscheint auch als Online-Ausgabe Casimir Physics Lecture notes in physics 834 (DE-604)BV000003166 834 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3683334&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024372736&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Casimir physics Lecture notes in physics Casimir-Effekt (DE-588)4375133-7 gnd |
| subject_GND | (DE-588)4375133-7 (DE-588)4143413-4 |
| title | Casimir physics |
| title_auth | Casimir physics |
| title_exact_search | Casimir physics |
| title_full | Casimir physics Diego Dalvit ... (ed.) |
| title_fullStr | Casimir physics Diego Dalvit ... (ed.) |
| title_full_unstemmed | Casimir physics Diego Dalvit ... (ed.) |
| title_short | Casimir physics |
| title_sort | casimir physics |
| topic | Casimir-Effekt (DE-588)4375133-7 gnd |
| topic_facet | Casimir-Effekt Aufsatzsammlung |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3683334&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024372736&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003166 |
| work_keys_str_mv | AT dalvitdiegoar casimirphysics |