RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor
Subscription
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


TMF, 2014, Volume 181, Number 3, Pages 603–613 (Mi tmf8749)  

Singular center as a nongravitational black hole

A. E. Shabad

Lebedev Physical Institute, RAS, Moscow, Russia

Abstract: We consider the interpretation of a singular center in quantum mechanics as a black hole in application to the exactly solvable problem of the three-dimensional oscillator with a complex-valued angular momentum, also known as the generalized Calogero problem.

Keywords: singular potential, fall to the center, quantum mechanical black hole

DOI: https://doi.org/10.4213/tmf8749

Full text: PDF file (439 kB)
References: PDF file   HTML file

English version:
Theoretical and Mathematical Physics, 2014, 181:3, 1643–1651

Bibliographic databases:

Received: 27.06.2014
Revised: 18.07.2014

Citation: A. E. Shabad, “Singular center as a nongravitational black hole”, TMF, 181:3 (2014), 603–613; Theoret. and Math. Phys., 181:3 (2014), 1643–1651

Citation in format AMSBIB
\Bibitem{Sha14}
\by A.~E.~Shabad
\paper Singular center as a~nongravitational black hole
\jour TMF
\yr 2014
\vol 181
\issue 3
\pages 603--613
\mathnet{http://mi.mathnet.ru/tmf8749}
\crossref{https://doi.org/10.4213/tmf8749}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3344558}
\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?2014TMP...181.1643S}
\elib{https://elibrary.ru/item.asp?id=23421687}
\transl
\jour Theoret. and Math. Phys.
\yr 2014
\vol 181
\issue 3
\pages 1643--1651
\crossref{https://doi.org/10.1007/s11232-014-0241-3}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000347702500013}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84920622914}


Linking options:
  • http://mi.mathnet.ru/eng/tmf8749
  • https://doi.org/10.4213/tmf8749
  • http://mi.mathnet.ru/eng/tmf/v181/i3/p603

    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
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
    Number of views:
    This page:314
    Full text:97
    References:54
    First page:37

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