V Photon Wave Function

Progress in Optics

Volumn 36, Issue C, 1996, Pages 245-294

  Bialynicki Birula, Iwo ^a,b  

^a CENTER FOR THEORETICAL PHYSICS   (Poland)

^b UNIVERSITY OF ROCHESTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77956728664     PISSN: 00796638     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0079-6638(08)70316-0     Document Type: Article

References (85)

1. Acharya R., and Sudarshan E.C.G. "Front" description in relativistic quantum mechanics. J. Math. Phys. 1 (1960) 532
2. Akhiezer A.I., and Berestetskii V.B. Ch. 1. Quantum Electrodynamics (1965), Interscience, New York
3. Amrein W.O. Localizability for particles of zero mass. Helv. Phys. Acta 42 (1969) 149
4. Ashtekar A., and Magnon A. Quantum fields in curved space-times. Proc. R. Soc. (London) A 346 (1975) 375
5. Bargmann V., and Wigner E.P. Group theoretical discussion of relativistic wave equations. Proc. Natl. Acad. Sci. USA 34 (1948) 211
6. In: Dyson F.J. (Ed). Symmetry Groups in Nuclear and Particle Physics (1966), Benjamin, New York 205 Reprinted
7. Bateman H. The Mathematical Analysis of Electrical and Optical Wave Motion on the Basis of Maxwell's Equations (Cambridge) (1915), Dover, New York Reprinted: 1955
8. Baym G. Ch. 1. Lectures on Quantum Mechanics (1969), Benjamin, Reading, MA
9. Bialynicki-Birula I. Quantum electrodynamics without electromagnetic field. Phys. Rev. 130 (1963) 465
10. Bialynicki-Birula I. On the wave function of the photon. Acta Phys. Polon. A 86 (1994) 97
11. Bialynicki-Birula I. The photon wave function, in: Coherence and Quantum Optics VII, eds J.H. Eberly, L. Mandel, and E. Wolf (1996), Plenum Press, New York
12. Bialynicki-Birula I. Hydrodynamics of relativistic probability flows. In: Infeld E., Zelazny R., and Galkowski A. (Eds). Nonlinear Dynamics, Chaotic and Complex Systems (1996), Cambridge University, Cambridge
13. Bialynicki-Birula I., and Bialynicka-Birula Z. Quantum Electrodynamics (1975), Pergamon Press, Oxford
14. Bialynicki-Birula I., and Bialynicka-Birula Z. Quantum Electrodynamics of intense photon beams. New approximation method. Phys. Rev. A 14 (1975) 1101
15. Bialynicki-Birula I., and Bialynicka-Birula Z. Berry's phase in the relativistic theory of spinning particles. Phys. Rev. D 35 (1987) 2383
16. Bialynicki-Birula I., and Brojan J. Completeness of evanescent waves. Phys. Rev. D5 (1972) 485
17. Bialynicki-Birula I., Górnicki P., and Rafelski J. Phase-space structure of the Dirac vacuum. Phys. Rev. D 44 (1991) 1825
18. Bjorken J. A dynamical origin of the electromagnetic field. Ann. Phys. (New York) 24 (1963) 174
19. Bohm D. Quantum Theory (1954), Constable, London 91
20. Born M., and Wolf E. Principles of Optics (1980), Pergamon, Oxford 494
21. Cohen-Tannoudji C., Diu B., and Laloë F. Quantum Mechanics I (1977), Wiley, New York
22. Cohen-Tannoudji C., Dupont-Roc J., and Grynberg G. Photons and Atoms. Introduction to Quantum Electrodynamics (1989), Wiley, New York
23. Cook R.J. Photon dynamics. Phys. Rev. A 25 (1982) 2164
24. Cook R.J. Lorentz covariance of photon dynamics. Phys. Rev. A 26 (1982) 2754
25. Dirac P.A.M. The Principles of Quantum Theory. 4th Ed. (1958), Clarendon Press, Oxford 9
26. Good Jr. R.H. Particle aspect of the electromagnetic field equations. Phys. Rev. 105 (1957) 1914
27. Gottfried K. Quantum Mechanics (1966), Benjamin, New York 252
28. Gross L. Norm invariance of mass-zero equations under the conformal group. J. Math. Phys. 5 (1964) 687
29. Haag R. Local Quantum Physics (1993), Springer, Berlin 33
30. Inagaki T. Quantum-mechanical approach to a free photon. Phys. Rev. A 49 (1994) 2839
31. Itzykson C., and Zuber J.-B. Quantum Field Theory (1980), McGraw-Hill, New York 50
32. Jackson J.D. Classical Electrodynamics (1975), Wiley, New York 552
33. Jauch J.M., and Piron C. Generalized localizability. Helv. Phys. Acta 40 (1967) 559
34. Kaiser G. Wavelet electrodynamics. Phys. Lett. A 168 (1992) 28
35. Kidd R., Ardini J., and Anton A. Evolution of the modern photon. Am. J. Phys. 57 (1989) 27
36. Kramers H.A. Quantentheorie des Elektrons und der Strahlung. Hand- und Jahrbuch der Chemischen Physik (Eucken-Wolf, Leipzig) (1938), North-Holland, Amsterdam [English translation: 1957, Quantum Mechanics]
37. Landau L.D., and Peierls R. Quantenelektrodynamik im Konfigurationsraum. Z. Phys. 62 (1930) 188
38. Laporte O., and Uhlenbeck G.E. Application of spinor analysis to the Maxwell and Dirac equations. Phys. Rev. 37 (1931) 1380
39. Lipkin H.J. Ch. 1. Quantum Mechanics (1973), North-Holland, Amsterdam
40. Lomont J.S., and Moses H.E. Simple realizations of the infinitesimal generators of the proper orthochronous inhomogeneous Lorentz group for zero mass. J. Math. Phys. 3 (1962) 405
41. London F. Winkelvariable und kanonische Transformationen in der Undulationsmechanik. Z. Phys. 40 (1927) 193
42. Louisell W.H. Quantum Statistical Properties of Radiation (1973), Wiley, New York
43. Madelung E. Quantentheorie in Hydrodynamischer Form. Z. Phys. 40 (1926) 322
44. Mandel L., and Wolf E. Optical coherence and quantum optics (1995), Cambridge University Press, Cambridge
45. Messiah A. Quantum Mechanics II (1961), North-Holland, Amsterdam 1034
46. Mignani R., Recami E., and Baldo M. About a Dirac-like equation for the photon according to Ettore Majorana. Lett. Nuovo Cimento 11 (1974) 568
47. Misner C.W., and Wheeler J.A. Classical physics as geometry: Gravitation electromagnetism, unquantized charge, and mass as properties of curved empty space. Ann. Phys. 2 (1957) 525
48. Molière G. Laufende elektromagnetische Multipolwellen und eine neue Methode der Feld-Quantisierung. Ann. Phys. 6 (1949) 146
49. Moses H.E. Solution of Maxwell's equations in terms of a spinor notation: the direct and inverse problem. Phys. Rev. 113 (1959) 1670
50. Moses H.E. Photon wave functions and the exact electromagnetic matrix elements for hydrogenic atoms. Phys. Rev. A 8 (1973) 1710
51. Newton T.D., and Wigner E.P. Localized states for elementary systems. Rev. Mod. Phys. 21 (1949) 400
52. Ohmura T. A new formulation on the electromagnetic field. Prog. Theor. Phys. 16 (1956) 684
53. Oppenheimer J.R. Note on light quanta and the electromagnetic field. Phys. Rev. 38 (1931) 725
54. Pauli W. Prinzipien der Quantentheorie. Handbuch der Physik 24 (1933), Springer, Berlin 189 [English translation: 1980, General Principles of Quantum Mechanics (Springer, Berlin)]
55. Pegg D.T., and Barnett S.M. Unitary phase operator in quantum mechanics. Europhys. Lett. 6 (1988) 483
56. Penrose R., and Rindler W. Ch. 5. Spinors and Space-Time I (1984), Cambridge University Press, Cambridge
57. Plebanski J. Electromagnetic waves in gravitational fields. Phys. Rev. 118 (1960) 1396
58. Power E.A. Introductory Quantum Electrodynamics (1964), Longmans, London 61
59. Pryce M.H.L. The mass-centre in the restricted theory of relativity and its connection with the quantum theory of elementary particles. Proc. R. Soc. (London) A 195 (1948) 62
60. Rosewarne D., and Sarkar S. Rigorous theory of photon localizability. Quantum Opt. 4 (1992) 405
61. Schiff L.I. Quantum Mechanics (1968), McGraw-Hill, New York 203
62. Schleich W., and Scully M.O. General relativity and modern optics. In: Grynberg G., and Stora R. (Eds). New Trends in Atomic Physics, Les Houches, Session XXXVIII (1984), Elsevier, Amsterdam 995
63. Schweber S.S. An Introduction to Relativistic Quantum Field Theory (1961), Row Peterson, and Co., Evanston, IL
64. Segal I.E. Mathematical Problems of Relativistic Physics (1963), American Mathematical Society, Providence, RI
65. Silberstein L. Elektromagnetische Grundgleichungen in bivectorieller Behandlung. Ann. Phys. 22 (1907) 579
66. Silberstein L. Nachtrag zur Abhandlung über "Elektromagnetische Grundgleichungen in bivectorieller Behandlung". Ann. Phys. 24 (1907) 783
67. Silberstein L. The Theory of Relativity. 2nd enlarged Ed (1914), MacMillan, London 1924.
68. Sipe J.F. Photon wave functions. Phys. Rev. A 52 (1995) 1875
69. Skrotski{A figure is presented} G.B. The influence of gravitation on the propagation of light. Sov. Phys. Dokl. 2 (1957) 226
70. Staruszkiewicz A. On affine properties of the light cone and their application in quantum electrodynamics. Acta Phys. Polon. B 4 (1973) 57
71. Streater R.F., and Wightman A.S. PCT, Spin and Statistics, and All That (1978), Benjamin, Reading, MA
72. Sudarshan E.C.G. Pencils of rays in wave optics. Phys. Lett. A 73 (1979) 269
73. Sudarshan E.C.G. Quantum electrodynamics and light rays. Physica A 96 (1981) 315
74. Sudarshan E.C.G. Quantum theory of radiative transfer. Phys. Rev. A 23 (1981) 2803
75. Walther A. Radiometry and coherence. J. Opt. Soc. Am. 68 (1968) 1256
76. Weber H. Die partiellen Differential-Gleichungen der mathematischen Physik nach Riemann's Vorlesungen (1901), Friedrich Vieweg und Sohn, Braunschweig 348
77. Weinberg S. The quantum theory of fields I (1995), Cambridge University, Cambridge 61
78. Weinberg S., and Witten E. Limits on massless particles. Phys. Lett. B 96 (1980) 59
79. Weyl H. Elektron und Gravitation. Z. Phys. 56 (1929) 330
80. Wightman A.S. On the localizability of quantum mechanical systems. Rev. Mod. Phys. 34 (1962) 845
81. Wigner E.P. On the quantum correction for thermodynamic equilibrium. Phys. Rev. 40 (1932) 749
82. Wigner E.P. On unitary representations of the inhomogeneous Lorentz group. Ann. Math. 40 (1939) 39
83. In: Dyson F.J. (Ed). Symmetry Groups in Nuclear and Particle Physics (1966), Benjamin, New York 120 Reprinted
84. Wolf E. New theory of radiative energy transfer in free electromagnetic field. Phys. Rev. D 13 (1976) 869
85. Zeldovich Ya.B. Number of quanta as an invariant of the classical electromagnetic field. Dokl. Acad. Sci. USSR 163 (1965) 1359 In Russian.