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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 114, Number 2, Pages 271–276
DOI: https://doi.org/10.4213/tmf839 (Mi tmf839) 		 
Estimation of the imaginary part of the scattering matrix pole for the three-dimensional Schrödinger equation with a trap potential

A. A. Arsen'ev

M. V. Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/tmf839
Abstract: A method is proposed for estimating the imaginary part of the scattering matrix resonant pole for the three-dimensional Schrödinger equation with a trap potential. The method is based on the invariance of the wave operators and on the Parseval equality. It is shown that as the barrier height increases, the imaginary part of the scattering matrix resonant pole exponentially tends to zero.
Received: 11.09.1997
English version:
Theoretical and Mathematical Physics, 1998, Volume 114, Issue 2, Pages 215–219
DOI: https://doi.org/10.1007/BF02557118
Bibliographic databases:
Language: Russian
Citation: A. A. Arsen'ev, “Estimation of the imaginary part of the scattering matrix pole for the three-dimensional Schrödinger equation with a trap potential”, TMF, 114:2 (1998), 271–276; Theoret. and Math. Phys., 114:2 (1998), 215–219
Citation in format AMSBIB
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\paper Estimation of the imaginary part of the scattering matrix pole for the three-dimensional Schr\"odinger equation with a trap potential
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\pages 215--219
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:51
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