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Springer tracts in modern physics

Quantum statistical theories of spontaneous emission and their relation to other approaches

G. S. Agarwal

Published Jan 1, 1974• 535 citations
Publisher
DOI
10.1007/bfb0042382

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Springer Tracts in Modern Physics Vol 70: Quantum Statistical Theories of Spontaneous Emission and their Relation to Other Approaches

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The conflict between the determinism of geometry in general relativity and the essential statistics of quantum mechanics blocks the development of a unified theory. Electromagnetic radiation is essential to both fields and supplies a common meeting ground. It is proposed that a suitable mechanism to resolve these differences can be based on the use of a time-symmetric treatment for the radiation. Advanced fields of the absorber can be interpreted to supply the random character of spontaneous emission. This allows the statistics of the Born rule to come from the spontaneous emission that occurs during a physical measurement. When the absorber is included, quantum mechanics is completely deterministic. It is suggested that the peculiar properties of kaons may be induced by the advanced effects of the neutrino field. Schrödinger's cat loses its enigmatic personality and the identification of mental processes as an essential component of a measurement is no longer needed.
A QED calculation of the resonance fluorescence spectra of a two-level atom in a strong, nearly resonant field, is reported, taking into account multiple spontaneous emissions (in any order) and interference effects. The results of this calculation are compared with the results of the quantum statistical theories, and the role of the elementary processes analysed. At resonance, in the high-field limit, the exact agreement of the QED and statistical theories is demonstrated. It is pointed out that the interference effects are of the greatest importance.