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Teoreticheskaya i Matematicheskaya Fizika, 1989, Volume 81, Number 1, Pages 59–68
(Mi tmf5266)
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This article is cited in 2 scientific papers (total in 2 papers)
Some properties of generalized spectral problems associated with the Schrödinger equation
N. E. Firsova, A. I. Sherstyuk
Abstract:
Dependence of the spectrum of generalized eigen-value problems connected with the one-particle Schrödinger equation upon the form of the weight operator and value of the energy parameter is investigated. Under sufficiently general conditions corresponding systems of eigen-functions realize diagonal representations of the Green function and can be used for constructing spectral expansions with the most convenient character of the spectrum.
Received: 10.02.1988
Citation:
N. E. Firsova, A. I. Sherstyuk, “Some properties of generalized spectral problems associated with the Schrödinger equation”, TMF, 81:1 (1989), 59–68; Theoret. and Math. Phys., 81:1 (1989), 1053–1060
Linking options:
https://www.mathnet.ru/eng/tmf5266 https://www.mathnet.ru/eng/tmf/v81/i1/p59
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