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Remark on the energy spectrum of a decaying system

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Abstract

Some time-evolution operators of a general unstable system lead to unphysical spectrum (unbounded below) of the total Hamiltonian. Various necessary conditions for boundeness of the spectrum are known. It is shown here, how this spectrum can be determined, which, in particular, gives the sufficient condition.

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Authors and Affiliations

  1. Department of Theoretical Nuclear Physics, Faculty of Mathematics and Physics of the, Charles University, 11000, Praha 1, Czechoslovakia

    Pavel Exner

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  1. Pavel Exner
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Communicated by H. Araki

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Exner, P. Remark on the energy spectrum of a decaying system. Commun.Math. Phys. 50, 1–10 (1976). https://doi.org/10.1007/BF01608551

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  • DOI: https://doi.org/10.1007/BF01608551

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