Abstract
We study spontaneous emission from a two level atom in Wigner-Weisskopf approximation. Considering the radiation field as a heatbath of temperature O, the Schrödinger equation of the atom may be considered as a quantum stochastic differential equation. The equation can be solved in different ways, in the first place by the Stratonovich method identical to the usual solution in the second place by the Ito integral introduced by Hudson and Parthasarathy [4] and in the third place by the multiplicative Ito integral used already in [8] in the positive temperature case. We restrict ourselves to the Stratonovich and multiplicative Ito solutions. The multiplication Ito solution enables a very intuitive description not only in the one-photon case but in the multi-photon case too. We obtain the same solutions as Maassen [6], who used his theory of kernels. Most results of this paper are already contained in a preprint [7].
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© 1985 Springer-Verlag
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von Waldenfels, W. (1985). Spontaneous light emission described by a quantum stochastic differential equation. In: Accardi, L., von Waldenfels, W. (eds) Quantum Probability and Applications II. Lecture Notes in Mathematics, vol 1136. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074498
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DOI: https://doi.org/10.1007/BFb0074498
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