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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Volume 290, Pages 335–343
DOI: https://doi.org/10.1134/S0371968515030280 (Mi tm3651) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Rigorous results of phase transition theory in lattice boson models

D. P. Sankovich

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.1134/S0371968515030280
Abstract: Quantum systems of particles obeying Bose statistics and moving in $d$-dimensional lattices are studied. The original Bose–Hubbard Hamiltonian is considered, together with model systems related to this Hamiltonian: the Bose–Hubbard model with exchange interaction of infinite radius and the Bose–Hubbard model with infinite interaction potential. Rigorous results concerning the proof of the existence of Bose condensation and a phase transition to the Mott insulator state in these systems are presented.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: March 15, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2015, Volume 290, Issue 1, Pages 318–325
DOI: https://doi.org/10.1134/S0081543815060280
Bibliographic databases:
Document Type: Article
UDC: 538.91+538.94
Language: Russian
Citation: D. P. Sankovich, “Rigorous results of phase transition theory in lattice boson models”, Modern problems of mathematics, mechanics, and mathematical physics, Collected papers, Trudy Mat. Inst. Steklova, 290, MAIK Nauka/Interperiodica, Moscow, 2015, 335–343; Proc. Steklov Inst. Math., 290:1 (2015), 318–325
Citation in format AMSBIB
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\pages 335--343
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    • This publication is cited in the following 1 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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