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, 2022, Volume 210, Number 1, Pages 3–10
DOI: https://doi.org/10.4213/tmf10120 (Mi tmf10120) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Free oscillator realization of Laguerre polynomials

S. Odake

Faculty of Science, Shinshu University, Matsumoto, Japan
Full-text PDF (320 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf10120
Abstract: We revisit the radial oscillator from the standpoint of a free oscillator realization. By using a free oscillator, namely, the creation/annihilation operators of the harmonic oscillator, we construct an operator that maps the eigenfunctions of the harmonic oscillator to those of the radial oscillator. As a polynomial part of this relation, we obtain an operator that maps the Hermite polynomials to the Laguerre polynomials.
Keywords: free oscillator realization, radial oscillator, Laguerre polynomial, harmonic oscillator, Hermite polynomial.
Funding agency Grant number
Japan Society for the Promotion of Science JP19K03667
This work was supported by the JSPS KAKENHI Grant No. JP19K03667.
Received: 28.04.2021
Revised: 28.04.2021
English version:
Theoretical and Mathematical Physics, 2022, Volume 210, Issue 1, Pages 1–7
DOI: https://doi.org/10.1134/S0040577922010019
Bibliographic databases:
Document Type: Article
PACS: 02.30.Gp, 03.65.−w, 03.65.Fd
Language: Russian
Citation: S. Odake, “Free oscillator realization of Laguerre polynomials”, TMF, 210:1 (2022), 3–10; Theoret. and Math. Phys., 210:1 (2022), 1–7
Citation in format AMSBIB
\Bibitem{Oda22}
\by S.~Odake
\paper Free oscillator realization of Laguerre polynomials
\jour TMF
\yr 2022
\vol 210
\issue 1
\pages 3--10
\mathnet{http://mi.mathnet.ru/tmf10120}
\crossref{https://doi.org/10.4213/tmf10120}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4360131}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2022TMP...210....1O}
\transl
\jour Theoret. and Math. Phys.
\yr 2022
\vol 210
\issue 1
\pages 1--7
\crossref{https://doi.org/10.1134/S0040577922010019}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000749189400001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85123957373}
Linking options:
  • https://www.mathnet.ru/eng/tmf10120
  • https://doi.org/10.4213/tmf10120
  • https://www.mathnet.ru/eng/tmf/v210/i1/p3
    • This publication is cited in the following 1 articles:
    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:191
    Full-text PDF :72
    References:48
    First page:12
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024