Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




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

Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 166, Number 1, Pages 110–120
DOI: https://doi.org/10.4213/tmf6599 (Mi tmf6599) 		 
Evolution of the $N$-particle state in the BCS model

V. V. Losyakovab

a Lebedev Physical Institute, RAS, Moscow, Russia
b Institute for Theoretical and Experimental Physics, Moscow, Russia
Full-text PDF (421 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf6599
Abstract: We obtain an exact scheme describing the dynamics of the $N$-particle state in the BCS model that is similar to the Gel'fand–Yaglom procedure for finding the transition amplitude of the harmonic oscillator with a time-dependent frequency. We find the many-particle spectrum and the eigenfunctions of the BCS Hamiltonian in the limit as the system volume tends to infinity.
Keywords: BCS model, fixed number of particles, Gel'fand–Yaglom formula, many-particle spectrum.
Received: 30.06.2010
English version:
Theoretical and Mathematical Physics, 2011, Volume 166, Issue 1, Pages 94–103
DOI: https://doi.org/10.1007/s11232-011-0008-z
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Losyakov, “Evolution of the $N$-particle state in the BCS model”, TMF, 166:1 (2011), 110–120; Theoret. and Math. Phys., 166:1 (2011), 94–103
Citation in format AMSBIB
\Bibitem{Los11}
\by V.~V.~Losyakov
\paper Evolution of the~$N$-particle state in the~BCS model
\jour TMF
\yr 2011
\vol 166
\issue 1
\pages 110--120
\mathnet{http://mi.mathnet.ru/tmf6599}
\crossref{https://doi.org/10.4213/tmf6599}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3165782}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2011TMP...166...94L}
\transl
\jour Theoret. and Math. Phys.
\yr 2011
\vol 166
\issue 1
\pages 94--103
\crossref{https://doi.org/10.1007/s11232-011-0008-z}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000287245500008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79951475162}
Linking options:
  • https://www.mathnet.ru/eng/tmf6599
  • https://doi.org/10.4213/tmf6599
  • https://www.mathnet.ru/eng/tmf/v166/i1/p110
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025