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 MIAN:
Year:
Volume:
Issue:
Page:
Find






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


Tr. Mat. Inst. Steklova, 2015, Volume 290, Pages 335–343 (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

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.


DOI: https://doi.org/10.1134/S0371968515030280

Full text: PDF file (178 kB)
References: PDF file   HTML file

English version:
Proceedings of the Steklov Institute of Mathematics, 2015, 290:1, 318–325

Bibliographic databases:

UDC: 538.91+538.94
Received: March 15, 2015

Citation: D. P. Sankovich, “Rigorous results of phase transition theory in lattice boson models”, Modern problems of mathematics, mechanics, and mathematical physics, Collected papers, Tr. 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 Tr. 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{http://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{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000363268500028}
\elib{http://elibrary.ru/item.asp?id=24962264}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84944672666}


Linking options:
  • http://mi.mathnet.ru/eng/tm3651
  • https://doi.org/10.1134/S0371968515030280
  • http://mi.mathnet.ru/eng/tm/v290/p335

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. D. P. Sankovich, “Proof of Bose condensation for weakly interacting lattice bosons”, J. Phys. Commun., 2:10 (2018), UNSP 105015  crossref  isi
  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Number of views:
    This page:133
    Full text:14
    References:26
    First page:4

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020