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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 12, Pages 32–43 (Mi ivm7158)  
Spectral properties of a Hamiltonian of a four-particle system on a lattice

M. E. Muminov, U. R. Shodiev

Chair of Mathematical Modeling, Samarkand State University, Samarkand, Republic of Uzbekistan
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Abstract: We consider a Hamiltonian of a system of four arbitrary quantum particles with pair contact (noncompact) potentials on a three-dimensional lattice perturbed by three-partial contact potentials. We describe the essential spectrum of the Schrödinger operator that corresponds to the four-particle system.
Keywords: Hamiltonian of a four-particles system, Schrödinger operator, essential spectrum, compact operator.
Received: 10.04.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 12, Pages 27–37
DOI: https://doi.org/10.3103/S1066369X10120030
Bibliographic databases:
Document Type: Article
UDC: 517.958+530.145
Language: Russian
Citation: M. E. Muminov, U. R. Shodiev, “Spectral properties of a Hamiltonian of a four-particle system on a lattice”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 12, 32–43; Russian Math. (Iz. VUZ), 54:12 (2010), 27–37
Citation in format AMSBIB
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\by M.~E.~Muminov, U.~R.~Shodiev
\paper Spectral properties of a~Hamiltonian of a~four-particle system on a~lattice
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 12
\pages 32--43
\mathnet{http://mi.mathnet.ru/ivm7158}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2814576}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 12
\pages 27--37
\crossref{https://doi.org/10.3103/S1066369X10120030}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79952829220}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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