Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




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

Symmetry, Integrability and Geometry: Methods and Applications, 2011, Volume 7, 025, 14 pp.
DOI: https://doi.org/10.3842/SIGMA.2011.025 (Mi sigma583) 		 
This article is cited in 37 scientific papers (total in 37 papers)

Supersymmetric Quantum Mechanics and Painlevé IV Equation

David Bermúdez, David J. Fernández C.

Departamento de Física, Cinvestav, AP 14-740, 07000 México DF, Mexico
Full-text PDF (581 kB) Citations (37)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2011.025
Abstract: As it has been proven, the determination of general one-dimensional Schrödinger Hamiltonians having third-order differential ladder operators requires to solve the Painlevé IV equation. In this work, it will be shown that some specific subsets of the higher-order supersymmetric partners of the harmonic oscillator possess third-order differential ladder operators. This allows us to introduce a simple technique for generating solutions of the Painlevé IV equation. Finally, we classify these solutions into three relevant hierarchies.
Keywords: supersymmetric quantum mechanics; Painlevé equations.
Received: November 30, 2010; in final form March 4, 2011; Published online March 8, 2011
Bibliographic databases:
Document Type: Article
MSC: 81Q60; 35G20
Language: English
Citation: David Bermúdez, David J. Fernández C., “Supersymmetric Quantum Mechanics and Painlevé IV Equation”, SIGMA, 7 (2011), 025, 14 pp.
Citation in format AMSBIB
\Bibitem{BerFer11}
\by David Berm\'udez, David J.~Fern\'andez C.
\paper Supersymmetric Quantum Mechanics and Painlev\'e IV Equation
\jour SIGMA
\yr 2011
\vol 7
\papernumber 025
\totalpages 14
\mathnet{http://mi.mathnet.ru/sigma583}
\crossref{https://doi.org/10.3842/SIGMA.2011.025}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2804571}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000288078700003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84855243849}
Linking options:
  • https://www.mathnet.ru/eng/sigma583
  • https://www.mathnet.ru/eng/sigma/v7/p25
    • This publication is cited in the following 37 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:305
    Full-text PDF :128
    References:59
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024