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Zapiski Nauchnykh Seminarov LOMI, 1986, Volume 149, Pages 7–23
(Mi znsl4912)
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This article is cited in 4 scientific papers (total in 4 papers)
Hull-range potentials and M. G. Krein's formula for generalized resolvents
V. M. Adamyan, B. S. Pavlov
Abstract:
For non-additive finite dimensional perturbations of an Hermitian operator Krein's formula is used to obtain arepresentation of scattering matrices with Hermitian $(n\times n)$-matrix as a parameter. Relying on this representation, we obtain explicit formulae for a number of new models of quantum mechanics with null-range potential. We also establish a connection of the parametrization obtained with phenomenological $S$-matrices and relevant Wigner's $R$-functions.
Citation:
V. M. Adamyan, B. S. Pavlov, “Hull-range potentials and M. G. Krein's formula for generalized resolvents”, Investigations on linear operators and function theory. Part XV, Zap. Nauchn. Sem. LOMI, 149, "Nauka", Leningrad. Otdel., Leningrad, 1986, 7–23
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https://www.mathnet.ru/eng/znsl4912 https://www.mathnet.ru/eng/znsl/v149/p7
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Abstract page: | 301 | Full-text PDF : | 108 |
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