Atoms and Light: Interactions pp 105-120 | Cite as

# The Semiclassical Description of Spontaneous Decay

Chapter

## Abstract

Formulas for the decay constant have been deduced in two places above. In the classical approach, the decay constant is defined through the equation

where

*W*(*t*) is the energy of the system at time*t*, and*P*(*t*) is the power of dissipation (or radiation). Classical electromagnetic theory gives Eq. (3.31) for*P*(0), and the classical energy of a mechanical oscillator is*W*(0) = 4π^{2}*v**mA*. The result for the classical decay constant of an oscillating and radiating charge is Eq. (3.27):## Keywords

Decay Constant Spontaneous Emission Excited Atom Probability Amplitude Radiation Reaction
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## References

- 1.D. T. Pegg, “Absorber Theory in Quantum Optics,”
*Phys. Ser.*, T12, 14–18 (1986).ADSCrossRefGoogle Scholar - 2.T. H. Boyer, “Derivation of the Blackbody Radiation Spectrum Without Quantum Assumptions,”
*Phys. Rev.*182, 1374–1383 (1969).ADSCrossRefGoogle Scholar - 3.H. A. Bethe, “The Electromagnetic Shift of Energy Levels,”
*Phys. Rev.*72, 339–341 (1947).ADSzbMATHCrossRefGoogle Scholar

## Copyright information

© Springer Science+Business Media New York 1991