Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (178 kB) Citations (1)
References:
PDF
HTML
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
\Bibitem{San15}
\by D.~P.~Sankovich
\paper Rigorous results of phase transition theory in lattice boson models
\inbook Modern problems of mathematics, mechanics, and mathematical physics
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2015
\vol 290
\pages 335--343
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3651}
\crossref{https://doi.org/10.1134/S0371968515030280}
\elib{https://elibrary.ru/item.asp?id=24045419}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2015
\vol 290
\issue 1
\pages 318--325
\crossref{https://doi.org/10.1134/S0081543815060280}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000363268500028}
\elib{https://elibrary.ru/item.asp?id=24962264}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84944672666}
Linking options:
  • https://www.mathnet.ru/eng/tm3651
  • https://doi.org/10.1134/S0371968515030280
  • https://www.mathnet.ru/eng/tm/v290/p335
    • This publication is cited in the following 1 articles:
    1. D. P. Sankovich, “Proof of Bose condensation for weakly interacting lattice bosons”, J. Phys. Commun., 2:10 (2018), UNSP 105015  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:247
    Full-text PDF :57
    References:52
    First page:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025