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The problem of decay in nonrelativistic quantum mechanics

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Abstract

In this paper the time-dependent Schrödinger equation with an arbitrary potential with finite effective radius is solved. Outside the effective radius of the potential a universal solution is obtained which does not depend on the initial state and which describes the evolution of a resonance state. In the single-resonance approximation various space-time domains are studied in which an exponential decay law can be observed.

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Authors and Affiliations

  1. Novosibirsk State University, USSR

    Ya. S. Grinberg

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  1. Ya. S. Grinberg
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 38–43, December, 1972.

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Grinberg, Y.S. The problem of decay in nonrelativistic quantum mechanics. Soviet Physics Journal 15, 1721–1725 (1972). https://doi.org/10.1007/BF00893070

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  • DOI: https://doi.org/10.1007/BF00893070

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