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Dutra S.M. — Cavity quantum electrodynamics
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Название: Cavity quantum electrodynamicsАвтор: Dutra S.M. Аннотация: What happens to light when it is trapped in a box?
Язык: Рубрика: Физика /Квантовая теория поля /Квантовая электродинамика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2005Количество страниц: 389Добавлена в каталог: 20.08.2005Операции: Положить на полку |
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't Hooft 108 Absence of counterrotating terms 269 Ad hoc coupling term 256 Adding multiple reflections 55 258 Adiabatic elimination 218 Aguirregabiria 328 Aharonov — Bohm phase 163 Aichelburg 329 Akhiezer 100 Album of the Mariner 47 Allen 17 Alternative photon position operators 109 Ammonia-beam maser 238 Ampere's law 44 AN 252 Angular momentum commutation relations 96 Annihilation operator free space 45 Anti-Hermitian 80 115 Antiparticles 107 Antiparticles, as a consequence of relativity 107 Antiparticles, Stueckelberg — Feynman — Wheeler idea 102 Antiphoton 99 103 108 Argand 295 ASER idea 217 Astronomical unit 62 Asymptotic condition 270 Atom laser 276 Atomic trap 277 Average distance between the Sun and Earth 62 Axial vector 91 Bachelier, Louis 252 Bag of tools 313—320 322 Baker — Hausdorff formula 117 311—312 Bardeen 276 Bardeen Hamiltonian 276 Barnett 262 Barton 64 Bass 109 Beam splitter 140 Bennett 257 Berestetsky 100 Berry 55 67 Beta factor 218 Beta factor, typical order of magnitude 219 Biagioni 334 Bialynicki — Birula 96 99 101 Biconjugation 305 Biquaternions 77 304 Biquaternions, gradient 78 Biquaternions, special relativity 295 304—310 Biquaternions, special relativity, Lorentz boost 310 Black and Scholes theory of option pricing 252 Blackbody radiation 63 99 238 BOCA 251 Boersma 47 Bohm — Aharonov effect 156 Bohr 48 Boozer 251 Born 64 Bose — Einstein condensate 276 Bose — Einstein statistics 104 boundary conditions 272 Bouwkamp 277 Breakdown of our current physical theories 63 Bremmer 277 Briegel 250 Brill 157 Brougham Bridge 297 299 Brown, Robert 220 Brownian motion 220 Brownian motion, Einstein's approach to 222 Brownian motion, geometric 252 Buck 251 Buee 295 Canonical quantization 18—23 Canonical quantization, properties of Poisson brackets 19 Casimir 277 Casimir effect 47—63 65 99 Casimir effect, Casimir's account of 48 Casimir effect, cutoff function 50 Casimir effect, design of nanomachinery 48 Casimir effect, dynamic 130 Casimir effect, expression for parallel plates 51 Casimir effect, first experiment 52 Casimir effect, maritime analog 47 Casimir effect, Maxwell stress tensor approach 54 61 Casimir effect, order of magnitude 51 Casimir effect, zero-point-potential-energy approach 48 53 Casimir, model for the electron 65 Casimir, pressure 60 Cathode ray tubes 47 Cauchy 324 Cauchy — Riemann equations 301 Cauchy, principal part 325 Caussel 47 Caves 136 Caves's diagrams 139 Cavity and the outside 256 Cavity modes 256 Cavity modes, as a superposition of external plane waves for which the cavity is transparent 55 67 Cavity modes, Fox — Li modes 257 Cavity modes, in the Gardiner — Collett approach 262 Cavity modes, in the Gardiner — Collett approach coupling with external modes 268 Cavity modes, Rayleigh's remark 255 Cavity modes, Thomson's approach 271 Cavity modes, Thomson's approach, boundary conditions 275 Cavity modes, Vatnshteln 257 Cavity resonances shifted 262 Cavity spectral mode density 53 Cayley 90 306 Chan 108 Chladni patterns 28 Clausius — Mossotti relation, one-dimensional 205 Clifford 314 Closed cavities 257 Coarse-grained photon wavefunction in configuration space 107 Cohen 276 Cohen — Tannoudji 156—157 Coherent states 114 Coherent states, as superpositions of number states 117 Coherent states, two-photon 133 Colloidal stability 48 Colombeau 334 Comb function 328 Commutator for position and momentum 21 Completeness 258 Completeness of Fox — Li modes 257 Complex reflectivity 262 Compton scattering 47 72 Compton wavelength 93 Computer animation 109 Conditional probability 224 Configuration-space photon-number operator 107 Continuous Markov process 226—227 Continuum commutation relations 57 260 Contour integration 278 Conway 304 Cook 99 106 Coordinate-free system of mathematics 294 Correlated emission laser 252 Corson 107 Cosmological constant 63 Costella 107 Coulomb gauge 157 Coulomb self-energy 155 Crandall 109 Crandell 94 Critical atom number 233 Curl integral theorem 319 Cylindrical cavity geometry 272 Cylindrical coordinates 49 61 d'Alembertian 78 Damping bases 246 Damping direct description by Lagrangian or Hamiltonian 276 De Broglie wavelength of a two-photon wave packet 108 De Broglie waves 69 Delocalization of absorption 257 Delocalized 256 Delta function 321—334 Delta function, normalization 131 Delta function, product of two principal parts 331 Delta function, representations 322 330 Delta function, representations, comb function 328 Delta function, representations, Gaussian 326 Delta function, representations, general 329 Delta function, representations, Laplacian of 1/r 327 Delta function, representations, Lorentzian 324 Delta function, representations, rectangular barrier 323 Delta function, representations, sine function 324 Density matrix 114 118—121 Density matrix, diagonal coherent-state representation 121—124 Deterministic "memoryless" process 226 Deterministic source of single photons 252 Deutsch 107 Dielectric delta function mirror 262 Diffusion equation 222 Dirac 18 64 107 Dirac, canonical quantization 18—23 Dirac, coordinate-free approach 20 Dirac, delta function 321—334 Dirac, delta function, normalization 131 Dirac, delta function, product of two principal parts 331 Dirac, delta function, representations 322 330 Dirac, development of canonical quantization 63 Dirac, equation 80 100 104—105 Dirac, hole theory 100 Dirac, magnetic monopoles 108 Dirac, sea 100 Disagreement, the largest between theory and experiment 48 Displacement operator 116 Dissipation 255 Dissipation, in quantum mechanics 255 Driven resonator 257 Duplex form of Maxwell equations 108 Dynamic Casimir effect 130 Earth 62 Eberly 108 251 Ehrenfest 107 Einstein 17 62—63 183 217 Einstein, anno mirabilis 221 Einstein, explanation of Brownian motion 222 Einstein, Nobel prize 47 Electric field, positive-frequency part 57 60 Electric field, quantized in free space, expression for 46 Electrical conductors 291 Electrical oscillations on a spherical shell 271 Electromagnetic field quantization, canonical 18—23 Electromagnetic field quantization, canonical, Dirac's account of 63 Electromagnetic field quantization, canonical, properties of Poisson brackets 19 Electromagnetic field quantization, classical limit of quantum radiation field 113 Electromagnetic field quantization, extreme quantum theory of light 74—891 Electromagnetic field quantization, in Coulomb gauge not manifestly covariant 157 Electromagnetic field quantization, origin of the name photon 42 Electromagnetic field quantization, photon's wavefunction 69 Electromagnetic field quantization, redundant degrees of freedom 157 Electromagnetic field quantization, the photon's wavefunction 99 Electromagnetic field quantization, the photon's wavefunction, problem with 89—90 Electromagnetic field quantization, the photon's wavefunction, recovering second quantization 99 106 Electromagnetic field quantization, why only the radiation field is quantized 24 27 Electromagnetic field quantization, with charges 145 Electromagnetic field quantization, with charges, arbitrary charge distribution 154 Electromagnetic field quantization, with charges, as a consequence of gauge invariance 161 Electromagnetic field quantization, with charges, dipole approximation 146 Electromagnetic field quantization, with charges, minimal coupling 158 Electromagnetic field quantization, without charges 17 46 Electromagnetic field quantization, without charges, in a cavity 39 Electromagnetic field quantization, without charges, in free space 43 Electromagnetic potentials, Bohm — Aharonov effect 156 Electromagnetic potentials, gauge freedom 161 Electromagnetic potentials, gauge-independent part 17 Electromagnetic potentials, quantization in free space without them 43 Electromagnetic potentials, redundant degrees of freedom 272 Electromagnetic potentials, Whittaker's two scalar potentials 272 Electron-positron pair 69 Energy conservation 217 260 Energy density inside the cavity 260 Energy density of the vacuum 62—63 Energy of a photon of visible light 70 Ensemble averages versus macroscopic averages 195 Environment 255 Euler — Maclaurin formula 67 Euler's equation 297 Excess quantum noise 268 Existence of modes in open cavities 257 Experimental confirmation of Maxwell's theory 215 Exponentials of operators, disentangling 311 External vacuum fluctuations 258 Extra phase gained on each trip inside the cavity 56 Extreme quantum theory of light 69 74—89 Fabry — Perot interferometer 55 257 Falicov 276 Fang 108 Fano diagonalization 206 262 Fano diagonalization, dressed operator version 265 Fano diagonalization, parallel with 267 Far-off resonance trap 250 Faraday's law 44 66 Feld 252 Feld's single-atom laser 252 Fermi — Dirac statistics 104 Feynman 64 100 102 283 297 311 Feynman, account of spin-statistics theorem 106 Feynman, formulation of quantum mechanics 23 64 Feynman, idea of antiparticles 107 Feynman, proof of Maxwell equations 276 Feynman, trick for vectorial expressions with V 317 Fiat lux 17 Field oscillator approach 64 Field theory 109 First quantization of light 69 99 First quantization of light, problem with the photon's wavefunction 89—90 First quantization of light, recovering second quantization 99 106 First-order transitions 234 FitzGerald, George Francis 215 Fixing the gauge 273 Fock 107 Fock, state 107 Fokker — Planck equation 229 Four-momentum 92 Four-vector 79 Fox — Li modes 257 Fraction of emission into the lasing mode 218 Frahm 327 329 Franck — Condon transition 130 Free-space spectral mode density 53 Freely movable electrons 291 Friction forces 276 Gain saturation 233 Gardiner — Collett approach 257 Gardiner — Collett Hamiltonian 236 256 277 Gardiner — Collett Hamiltonian, as a first-order approximation 262 Gardiner — Collett Hamiltonian, breakdown 256 262 Gardiner — Collett Hamiltonian, explicit expression for coupling strength 268 Gardiner — Collett Hamiltonian, first-principles derivation of 258—269 Gardiner — Collett Hamiltonian, input-output theory 276 Garrison 107 Gauge invariance 161 Gauss's divergence theorem 318 Gaussian 326 Gaussian random variables 227
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