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Inverse problem equations for a three-wave quantum system

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Abstract

Analytic properties of the Jost solutions of the auxiliary linear problem of a three-wave system, whose potentials are operator-valued functions, are studied. Creation and annihilation operators of elementary excitations and their bound states are constructed. Singular integral equations which let one reconstruct the local fields from the creation and annihilation operators mentioned are derived.

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Authors
  1. P. P. Kulish
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  2. F. A. Smirnov
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 150, pp. 53–69, 1986.

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Kulish, P.P., Smirnov, F.A. Inverse problem equations for a three-wave quantum system. J Math Sci 46, 1599–1609 (1989). https://doi.org/10.1007/BF01099191

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  • DOI: https://doi.org/10.1007/BF01099191

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