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Light: the physics of the photon

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1. Verfasser:	Keller, Ole 1945- (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Boca Raton [u.a.] CRC Press 2014
Schriftenreihe:	Series in optics and optoelectronics
Schlagworte:	Optik Photon Quantenoptik
Online-Zugang:	Inhaltsverzeichnis Klappentext
Beschreibung:	XIX, 462 S. graph. Darst.
ISBN:	9781439840436

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Datensatz im Suchindex

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adam_text	Contents Preface xiii Acknowledgments xix About the author xxi I Classical optics in global vacuum 1 1 Heading for photon physics 3 2 Fundamentals of free electromagnetic fields 7 2.1 Maxwell equations and wave equations .................... 7 2.2 Transverse and longitudinal vector fields ................... 8 2.3 Complex analytical signals ........................... 10 2.4 Monochromatic plane-wave expansion of the electromagnetic field ..... 13 2.5 Polarization of light ............................... 14 2.5.1 Transformation of base vectors ..................... 14 2.5.2 Geometrical picture of polarization states ............... 15 2.6 Wave packets as field modes .......................... 18 2.7 Conservation of energy, moment of energy, momentum, and angular momen¬ tum ........................................ 21 2.8 Riemann-Silberstein formalism ......................... 22 2.9 Propagation of analytical signal ........................ 24 3 Optics in the special theory of relativity 27 3.1 Lorentz transformations and proper time ................... 27 3.2 Tensors ...................................... 30 3.3 Four-vectors and -tensors ............................ 31 3.4 Manifest covariance of the free Maxwell equations .............. 33 3.5 Lorentz transformation of the (transverse) electric and magnetic fields. Du¬ ality ........................................ 35 3.6 Lorentz transformation of Riemann-Silberstein vectors. Inner-product invari¬ ance ........................................ 38 II Light rays and geodesies. Maxwell theory in general relativity 4 The light-particle and wave pictures in classical physics 41 5 Eikonal theory and Fermat s principle 45 5.1 Remarks on geometrical optics. Inhomogeneous vacuum ........... 45 5.2 Eikonal equation. Geometrical wave surfaces and rays ............ 47 5.3 Geodetic line: Fermat s principle ........................ 52 vii (Contents viii r; r üü 55 6 Geodesies in general relativity 6.1 Metric tensor. Four-dimensional Riemann spar« ............... 6 2 Time-like metric geodesies ........................... Д 6.3 The Newtonian limit: Motion in a weak static gravitational held .......>·> 6.4 Null geodesies and light particles ...................... b 6.5 Gravitational redshift. Photon in free fall ................... <» - 7 The space-time of general relativity i}7 7.1 Tensor fields ................................... bt 7.2 Covariant derivative ............................... _ 7.3 Parallel transport ................................ J 7.4 Riemann curvature tensor ............................ _ 7.5 Algebraic properties of the Riemann curvature tensor ............ 73 7.6 Einstein field equations in general relativity .................. 71 7.7 Metric compatibility ............................... 7() 7.8 Geodesic deviation of light rays ........................ 70 8 Electromagnetic theory in curved space-time 79 8.1 Vacuum Maxwell equations in general relativity ............... 79 8.2 Covariant curl and divergence in Riemann space ............... KO 8.3 A uniform formulation of electrodynamics in curved and ilat space-time . . Kl 8.3.1 Maxwell equations with normal derivatives .............. Kl 8.3.2 Maxwell equations with E, B, D, and H fields ............ КЗ 8.3.3 Microscopic Maxwell-Lorcntz equations in curved space-time» .... Kl 8.3.4 Constitutive relations in curved space-time .............. 85 8.3.5 Remarks on the constitutive relations in Minkowskian spaw ..... 87 8.3.6 Permittivity and permeability for static metrics ............ 88 8.4 Permittivity and permeability in expanding universe ............. 89 8.5 Electrodynamics in potential description. Eikonal theory and null geodesies 91 8.6 Gauge-covariant derivative ........................... 95 III Photon wave mechanics 97 9 The elusive light particle 99 10 Wave mechanics based on transverse vector potential 105 10.1 Gauge transformation. Covariant and noncovariant gauges ......... 105 10.2 Tentative wave function and wave equation for transverse photons ..... 107 10.3 Transverse photon as a spin- 1 particle ..................... 110 10.4 Neutrino wave mechanics. Massive eigenstate neutrinos ........... 113 11 Longitudinal and scalar photons. Gauge and near-field light quanta 119 11.1 L- and S-photons. Wave equations ................ ц(Ј 11.2 L- and S-photon neutralization in free space . і .:,;. ·■■.-. ; ......... 120 11.3 NF- and G-photons ..................... 122 11.4 Gauge transformation within the Lorenz gauge .......... 124 Contents jx 12 Massive photon field 127 12.1 Proca equation .............................. 227 12.2 Dynamical equations for E and A ....................... 129 12.:} Diamagnetic interaction: Transverse photon mass .............. 130 12. Ί Massive vector boson (photon) field ...................... 132 12.5 Massive photon propagator ........................... 136 13 Photon energy wave function formalism 143 13.1 The Oppenheimer light quantum theory .................... 143 13.2 Interlude: From spherical to Cartesian representation ............ 146 13.3 Photons and antiphotons: Bispinor wave functions .............. 150 13. Ί Four-momentum and spin of photon wave packet ............... 153 13.5 H.elativistic scalar product. Lorentz-invariant integration on the energy shell .................................... 155 IV Single-photon quantum optics in Minkowskian space 159 14 The photon of the quantized electromagnetic field 161 15 Polychromatic photons 165 15.1 Canonical quantization of the transverse electromagnetic field ....... 165 15.2 Energy, momentum, and spin operators of the transverse field ....... 168 15.3 Monochromatic plane-wave photons. Fock states ............... 171 15.4 Single-photon wave packets ........................... 173 15.5 New T-photon mean position state ..................... 177 15.0 Т -photon wave function and related dynamical equation ........... 179 15.7 The non-orthogonality of Т -photon position states .............. 181 16 Single-photon wave packet correlations 183 1G.1 Wave-packet basis for one-photon states .................... 183 1G.2 Wave-packet photons related to a given ¿-matrix ............... 184 1G.3 Integral equation for the time evolution operator in the interaction picture ...................................... 186 16.4 Atomic and field correlation matrices ..................... 189 16.5 Single-photon correlation matrix: The wave function fingerprint ...... 194 17 Interference phenomena with single-photon states 197 17.1 Wave-packet mode interference ......................... 197 17.2 Young-type double-source interference ..................... 198 17.3 Interference between transition amplitudes .................. 201 17.4 Field correlations in photon mean position state ............... 201 17.4.1 Correlation supermatrix ......................... 202 17.4.2 Relation between the correlation supermatrix and the transverse pho¬ ton propagator .............................. 203 18 Free-field operators: Time evolution and commutation relations 205 18.1 Maxwell operator equations. Quasi-classical states .............. 205 18.2 Generalized Landau-Peierls-Sudarshan equations .............. 207 18.3 Commutation relations ............................. 208 18.3.1 Commutation relations at different times (r φ 0)........... 209 18.3.2 Equal-time commutation relations ................... 210 Contents χ V Photon embryo states 213 19 Attached photons in rim zones 20 Evanescent photon fields 20.1 Four-potential description in the Lorenz gauge ................ - -· 20.2 Sheet current density: T-, L-, and S-parts ................... - ІЛ 20.3 Evanescent T-, L-, and S-potentials ...................... 225 20.4 Four-potential photon wave mechanics ..................... -~ 20.5 Field-quantized approach ............................ ~<J1 20.G Near-field photon: Heisenberg équation of motion and coherent state .... 231 21 Photon tunneling ^17 21.1 Near-field interaction. The photon measurement problem .......... 237 21.2 Scattering of a wave-packet band from a single current-density sheet ..... 238 21.3 Incident fields generating evanescent tunneling potentials .......... 213 21.4 Interlude: Scalar propagator in various domains ............... 2 10 21.5 Incident polychromatic single-photon state .................. -47 21.6 Photon tunneiing-couplcd sheets ........................ 250 22 Near-field photon emission in 3D 255 22.1 T-, L-, and S-potentials of a classical point-particl о ............. 255 22.1.1 General considerations on source fields ................. 255 22.1.2 Point-particle potentials ......................... 257 22.2 Cerenkov shock wave .............................. 200 22.2.1 Four-potential of point-particle in uniform motion in vacuum .... 200 22.2.2 Transverse and longitudinal response theory in matter ........ 203 22.2.3 The transverse Cerenkov phenomenon ................. 200 22.2.4 Momenta associated to the transverse and longitudinal parts of the Cerenkov field .............................. 209 22.2.5 Screened canonical particle momentum ................. 272 VI Photon source domain and propagators 275 23 Super-confined Т -photon sources 277 24 Transverse current density in nonrelativistic quantum mechanics 283 24.1 Single-particle transition current density ................... 283 24.2 The hydrogen Is <^ 2pz transition ....................... 280 24.3 Breathing mode: Hydrogen Is «■ 2s transition ................ 289 ,- 24.4 Two-level breathing mode dynamics ...................... 292 25 Spin- 1/2 current density in relativistic quantum mechanics 297 ., 25.1 Dirac matrices .... У .............. 297 25.2 Covariant form of the Dirac equation. Minimal coupling. Four-current density 299 25.3 Gordon decomposition of the Dirac four-current density ........... 301 25.4 Weakly relativistic spin current density .................... 303 25.5 Continuity equations for spin and space four-current densities ....... 306 Contents xj 26 Masslcss photon propagators 309 2Ö.1 From the Huygens propagator to the transverse photon propagator .... 309 26.2 Т -photon time-ordered correlation of events .................. 311 20.3 Covariaiit correlation matrix .......................... 313 20.4 Covariaiit quantization of the electromagnetic field: A brief review ..... 314 20.5 The Feynman photon propagator ....................... 316 26.0 Longitudinal and scalar photon propagators ................. 318 VII Photon vacuum and quanta in Minkowskian space 321 27 Photons and observers 323 28 The inerţial class of observers: Photon vacuum and quanta 329 28.1 Transverse photon four-current density .................... 329 28.2 Boosts ...................................... 332 28.2.1 Lorentz and Lorenz-gauge transformations of the four-potential . . . 332 28.2.2 I laile-mode decomposition of the covariant potential ......... 333 28.2.3 Mode functions .............................. 336 28.3 Physical (T-photon) vacuum .......................... 337 29 The non-incrtial class of observers: The nebulous particle concept 345 2Í). J Bogolubov transformation. Vacuum states .................. 345 29.2 The non-unique vacuum ............................. 348 29.3 The Unruh effect ................................. 352 29.3.1 R indier space and observer ....................... 352 29.3.2 Rindler particles in Minkowski vacuum ................. 354 30 Photon mass and hidden gauge invariance 363 30.1 Physical vacuum: Spontaneous symmetry breaking .............. 363 30.2 Goldstone bosons ................................ 366 30.3 The i/(l) Higgs model .............................. 368 30.4 Photon mass and vacuum screening current .................. 372 30.5 t Hooft gauge and propagator ......................... 373 VIII Two-photon entanglement in space-time 377 31 The quantal photon gas 379 32 Quantum measurements 385 32.1 Tensor product space (discrete case) ...................... 385 32.2 Definition of an observable (discrete case) ................... 386 32.3 Reduction of the wave packet (discrete case) ................. 387 32.4 Measurements on only one part of a two-part physical system ....... 387 32.5 Entangled photon polarization states ..................... 390 33 Two-photon wave mechanics and correlation matrices 393 33.1 Two-photon two times wave function ..................... 393 33.2 Two-photon Schrödinger equation in direct space .............. 396 33.3 Two-photon wave packet correlations ..................... 397 33.3.1 First-order correlation matrix ...................... 397 33.3.2 Second-order correlation matrix ..................... 399 xii (Undents 34 Spontaneous one- and two-photon emissions 401 34.1 Two-level atom: Wcisskopf-Wigner theory of spontaneous emission .... 101 34.1.1 Atom-field Hamiltonian in the electric-dipole approximation. liVVA- model ................................... 101 34.1.2 Weisskopf-Wigner state vector ..................... ·!()() 34.2 Two-level atom: Wave function of spontaneously emittod photon ...... 109 34.2.1 Photon wave function in q-space .................... 10?) 34.2.2 The general photon wave function in r-space ............. 110 34.2.3 Genuine transverse photon wave function ............... Ill 34.2.4 Spontaneous photon emission in the atomic rim zone ......... 113 34.3 Three-level atom: Spontaneous cascade emission ............... 117 34.3.1 Two-photon state vector ......................... 117 34.3.2 Two-photon two-times wave function .................. 120 34.3.3 The structure of *2,r(rt,r2, t uh)................... 122 34.3.4 Far-field part of Ф.у,(п,г2, /i, /2) ................... 125 Bibliography 429 Index ąą Physics SERIES IN OPTICS AND OPTOELECTRONICS SERIES EDITORS: E ROY PIKE AND ROBERT G W BROWN LIGHT The Physics of the Photon From the early wave-particle arguments to the mathematical theory of electromagnetism to Einstein s work on the quantization of light, different descriptions of what constitutes light have existed for over 300 years. Light - The Physics oř the Photon examines the photon phenomenon from several perspectives. It demonstrates the importance of studying the photon as a concept belonging to a global vacuum (matter-free space). Divided into eight parts, the book begins with exploring aspects of classical optics in a global vacuum on the basis of free-space Maxwell equations. It then describes light rays and geodesies and presents a brief account of the Maxwell theory in general relativity. After discussing the theory of photon wave mechanics, the author gives a field-quantized description of the electromagnetic field, emphasizing single-photon quantum optics in Minkowskian space. He next focuses on photon physics in the rim zone of matter, paying particular attention to photon emission processes. He also takes a closer look at the photon source domain and field propagators, which conveniently describe the photon field propagation in the vicinity of and far from the electronic source domain. The last two parts discuss the photon vacuum and light quanta in Minkowskian space as well as two-photon entanglement, which is associated with the biphoton in space-time. Features Explains the models and physical and mathematical descriptions of light Examines the behavior of light and its interaction with matter Covers classical and quantum optics Explores quantum electrodynamics and various photon states
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spelling	Keller, Ole 1945- Verfasser (DE-588)1020334053 aut Light the physics of the photon Ole Keller Boca Raton [u.a.] CRC Press 2014 XIX, 462 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Series in optics and optoelectronics Optik (DE-588)4043650-0 gnd rswk-swf Photon (DE-588)4045922-6 gnd rswk-swf Quantenoptik (DE-588)4047990-0 gnd rswk-swf Optik (DE-588)4043650-0 s DE-604 Photon (DE-588)4045922-6 s Quantenoptik (DE-588)4047990-0 s Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027498929&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027498929&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext
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title	Light the physics of the photon
title_auth	Light the physics of the photon
title_exact_search	Light the physics of the photon
title_full	Light the physics of the photon Ole Keller
title_fullStr	Light the physics of the photon Ole Keller
title_full_unstemmed	Light the physics of the photon Ole Keller
title_short	Light
title_sort	light the physics of the photon
title_sub	the physics of the photon
topic	Optik (DE-588)4043650-0 gnd Photon (DE-588)4045922-6 gnd Quantenoptik (DE-588)4047990-0 gnd
topic_facet	Optik Photon Quantenoptik
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027498929&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027498929&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
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