Abstract
The blackbody radiation field is studied from different points of view. The existence of zero-point fluctuations is shown to be crucial in determining the form of the thermal part of the spectrum. The notion of a continuous field is seen to be compatible with a discrete structure for its interaction: The description normally used in the quantum context does not refer to the field but to its interaction with atomic systems, which involves statistically independent elementary acts of absorption and emission. The same classical field has different effects on absorption and on emission, and these are conveniently, but not necessarily, described in terms of non-commuting operators.
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References
T. H. Boyer, inFoundations of Radiation Theory and Quantum Electrodynamics, A. O. Barut, ed. (Plenum, New York, 1980).
L. de la Peña, inStochastic Processes Applied to Physics and Other Related Fields, B. Gómezet al., eds. (World Scientific, Singapore, 1983). Refs. 1 and 2 are general reviews on SED.
M. D. Crisp and E. T. Jaynes,Phys. Rev. 179, 1253 (1969); E. T. Jaynes, inCoherence and Quantum Optics, L. Mandel and E. Wolf, eds. (Plenum, New York, 1978).
W. E. Lamb and M. O. Scully, inPolarization, Matter and Radiation (Presses Universitaires de France, Paris, 1969).
L. Mandel, inProgress in Optics, Vol. XIII, E. Wolf, ed. (North-Holland, Amsterdam, 1976).
P. W. Milonni,Phys. Rep. 25, 1 (1976).
R. Loudon,Rep. Prog. Phys. 43, 913 (1980).
P. L. Knight and L. Allen,Concepts of Quantum Optics (Pergamon Press, New York, 1983).
P. W. Milonni, inThe Wave-Particle Dualism, S. Dineret al., eds. (Reidel, Dordrecht, 1984).
G. H. Goedecke,Found. Phys. 14, 41 (1984).
L. de la Peña and A. M. Cetto,J. Math. Phys. 20, 469 (1979); A. M. Cetto and L. de la Peña,Phys. Scripta (1987), in press.
D. Park and H. T. Epstein,Am. J. Phys. 17, 301 (1949).
M. Surdin, P. Braffort and A. Taroni,Nature 210, 405 (1966); M. Surdin,Ann. Inst. H. Poincaré 15A, 203 (1971).
T. H. Boyer,Phys. Rev. 182, 1374 (1969).
T. H. Boyer,Phys. Rev. 186, 1304 (1969).
T. H. Boyer,Phys. Rev. D27, 2906 (1983);29, 1096 (1984).
O. Theimer,Phys. Rev. D4, 1597 (1971); O. Theimer and P. R. Peterson,Phys. Rev. D 10, 3962 (1974). See also A. Kracklauer,Phys. Rev. D 14, 654 (1976).
J. L. Jiménez, L. de la Peña and T. A. Brody,Am. J. Phys. 48, 840 (1980).
T. W. Marshall,Phys. Rev. D 24, 1509 (1981).
J. L. Jiménez and G. del Valle,Rev. Mex. Fis. 28, 627 (1982).
R. Payen,J. Phys. (Paris) 45, 805 (1984).
See, e.g., K. Huang,Statistical Mechanics (Wiley, New York, 1963), Chap. 8.
A. Einstein,Ann. Phys. (Leipzig) 14, 354 (1904).
A. Einstein,Ann. Phys. (Leipzig) 22, 180 (1906).
O. Theimer,Am. J. Phys. 44, 183 (1976); E. Santos,Am. J. Phys. 44, 278 (1976).
See, e.g., A. Sommerfeld,Thermodynamics and Statistical Mechanics (Academic Press, New York, 1956), Chap. 2.
A. Pais,Rev. Mod. Phys. 51, 863 (1979).
L. Mandel,Proc. Phys. Soc. 74, 233 (1959); inProgress in Optics, Vol. II, E. Wolf, ed. (North-Holland, Amsterdam, 1963); L. Mandel, E. C. G. Sudarshan and E. Wolf,Proc. Phys. Soc. 84, 435 (1964).
D. Bohm,Quantum Theory (Prentice-Hall, Englewood Cliffs, 1951).
L. de la Peña and A. M. Cetto, “New approach to stochastic electrodynamics for the explanation of quantum phenomena.” preprintIFUNAM 87-3 (1987).
R. J. Glauber, inQuantum Optics and Electronics, C. deWittet al., eds. (Gordon & Breach, New York, 1964).
R. J. Glauber, inFundamental Problems in Statistical Mechanics, E. G. D. Cohen, ed. (North-Holland, Amsterdam, 1968).
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Cetto, A.M., de la Penã, L. Continuous and discrete aspects of blackbody radiation. Found Phys 19, 419–437 (1989). https://doi.org/10.1007/BF00731835
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DOI: https://doi.org/10.1007/BF00731835