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Die Abweichung vom Exponentialzerfall angeregter Zustände

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Abstract

In the theory of line breadth phenomena excited amplitudes must not exactly follow the usual exponential decay law. This fact is well known from fundamental mathematical considerations, although there is not any unique form for the corresponding deviation. In this paper we seek a new expression for the decay, based upon a rather general field model of mass zero. The result is a good approximation for times ≈ 1/γ and yields the exact asymptotic solution. A modification to a model with mass ≠0 does not in general lead to other formulations of the solution.

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  1. Ketill Ingólfsson

    Present address: Department of Mathematics, University of Arizona, 85721, Tucson, Arizona, USA

Authors and Affiliations

  1. Mathematisches Institut der Universität Zürich, Switzerland

    Ketill Ingólfsson

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  1. Ketill Ingólfsson
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Ingólfsson, K. Die Abweichung vom Exponentialzerfall angeregter Zustände. Commun.Math. Phys. 11, 168–180 (1968). https://doi.org/10.1007/BF01645903

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