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, 2007, Volume 151, Number 2, Pages 287–301
DOI: https://doi.org/10.4213/tmf6045 (Mi tmf6045) 		 
Fundamental solutions of the equations of quantum mechanics as distributions and distinctive properties of the Dirac equation solutions

A. A. Beilinson

Peoples Friendship University of Russia
Full-text PDF (391 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf6045
Abstract: We show that the causal Green's functions for interacting particles in external fields in both relativistic quantum mechanics (for the Dirac electron) and nonrelativistic quantum mechanics can be obtained as distributions if the free-particle Green's functions are used and equations for the corresponding test functions are chosen. We study quantum properties of solutions of the Dirac equations.
Keywords: causal Green's function, Wiener measure, Euclidean Dirac measure, denumerable additivity of measures, absolute additivity of measures, induced measure.
Received: 13.06.2006
Revised: 21.08.2006
English version:
Theoretical and Mathematical Physics, 2007, Volume 151, Issue 2, Pages 681–692
DOI: https://doi.org/10.1007/s11232-007-0053-9
Bibliographic databases:
Language: Russian
Citation: A. A. Beilinson, “Fundamental solutions of the equations of quantum mechanics as distributions and distinctive properties of the Dirac equation solutions”, TMF, 151:2 (2007), 287–301; Theoret. and Math. Phys., 151:2 (2007), 681–692
Citation in format AMSBIB
\Bibitem{Bei07}
\by A.~A.~Beilinson
\paper Fundamental solutions of the~equations of quantum mechanics as distributions and distinctive properties of the~Dirac equation solutions
\jour TMF
\yr 2007
\vol 151
\issue 2
\pages 287--301
\mathnet{http://mi.mathnet.ru/tmf6045}
\crossref{https://doi.org/10.4213/tmf6045}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2338160}
\zmath{https://zbmath.org/?q=an:1138.81377}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2007TMP...151..681B}
\elib{https://elibrary.ru/item.asp?id=9521587}
\transl
\jour Theoret. and Math. Phys.
\yr 2007
\vol 151
\issue 2
\pages 681--692
\crossref{https://doi.org/10.1007/s11232-007-0053-9}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000246615900008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34249051123}
Linking options:
  • https://www.mathnet.ru/eng/tmf6045
  • https://doi.org/10.4213/tmf6045
  • https://www.mathnet.ru/eng/tmf/v151/i2/p287
    • 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
    Statistics & downloads:
    Abstract page:797
    Full-text PDF :406
    References:99
    First page:8
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024