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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 1, Pages 61–70
(Mi ivm8863)
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This article is cited in 9 scientific papers (total in 9 papers)
The finiteness of the discrete spectrum of a model operator associated with a system of three particles on a lattice
T. Kh. Rasulov, R. T. Mukhitdinov Chair of Mathematical Physics and Analysis, Bukhara State University, 11 M. Ikbol str., Bukhara, 200100 Republic of Uzbekistan
Abstract:
We consider a model operator $H$ associated with a system of three particles on a lattice interacting via nonlocal pair potentials. Under some natural conditions on the parameters specifying this model operator $H$, we prove the finiteness of its discrete spectrum.
Keywords:
discrete spectrum, nonlocal potential, continuity in the uniform operator topology, Hilbert–Schmidt class, Weinberg equation.
Received: 11.09.2012
Citation:
T. Kh. Rasulov, R. T. Mukhitdinov, “The finiteness of the discrete spectrum of a model operator associated with a system of three particles on a lattice”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 1, 61–70; Russian Math. (Iz. VUZ), 58:1 (2014), 52–59
Linking options:
https://www.mathnet.ru/eng/ivm8863 https://www.mathnet.ru/eng/ivm/y2014/i1/p61
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Abstract page: | 153 | Full-text PDF : | 29 | References: | 21 | First page: | 9 |
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