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This article is cited in 4 scientific papers (total in 4 papers)
Discrete spectrum of a model operator in Fock space
T. H. Rasulov A. Navoi Samarkand State University
Abstract:
We consider a model describing a "truncated" operator (truncated with
respect to the number of particles) acting in the direct sum of zero-,
one-, and two-particle subspaces of a Fock space. Under some natural
conditions on the parameters specifying the model, we prove that the discrete
spectrum is finite.
Keywords:
discrete spectrum, Fock space, compact operator, continuity in the uniform operator topology, Hilbert–Schmidt operator, Weinberg equation.
Received: 06.11.2006
Citation:
T. H. Rasulov, “Discrete spectrum of a model operator in Fock space”, TMF, 152:3 (2007), 518–527; Theoret. and Math. Phys., 152:3 (2007), 1313–1321
Linking options:
https://www.mathnet.ru/eng/tmf6107https://doi.org/10.4213/tmf6107 https://www.mathnet.ru/eng/tmf/v152/i3/p518
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Abstract page: | 346 | Full-text PDF : | 181 | References: | 35 | First page: | 2 |
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