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, 1985, Volume 62, Number 3, Pages 472–480 (Mi tmf4700)  
This article is cited in 3 scientific papers (total in 3 papers)

Reconstruction of confining or attractive potentials of one-dimensional Schrödinger equation

V. B. Gostev, A. R. Frenkin
Full-text PDF (905 kB) Citations (3)
References:
PDF
HTML
Abstract: The dependence of confining or attractive potentials on the characteristics of the discrete spectrum of the one-dimensional Schrödinger equation is investigated. Asymptotic expressions are obtained for the regular solutions and the corrections to the potential in different cases of variation of the spectral characteristics. The connection between one-parameter transformations of the normalization constants and the nonlinear evolution equations for the recovered potential is considered.
Received: 11.07.1984
English version:
Theoretical and Mathematical Physics, 1985, Volume 62, Issue 3, Pages 316–321
DOI: https://doi.org/10.1007/BF01018273
Bibliographic databases:
Language: Russian
Citation: V. B. Gostev, A. R. Frenkin, “Reconstruction of confining or attractive potentials of one-dimensional Schrödinger equation”, TMF, 62:3 (1985), 472–480; Theoret. and Math. Phys., 62:3 (1985), 316–321
Citation in format AMSBIB
\Bibitem{GosFre85}
\by V.~B.~Gostev, A.~R.~Frenkin
\paper Reconstruction of confining or attractive potentials of one-dimensional Schr\"odinger equation
\jour TMF
\yr 1985
\vol 62
\issue 3
\pages 472--480
\mathnet{http://mi.mathnet.ru/tmf4700}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=791211}
\transl
\jour Theoret. and Math. Phys.
\yr 1985
\vol 62
\issue 3
\pages 316--321
\crossref{https://doi.org/10.1007/BF01018273}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1985ASV1800013}
Linking options:
  • https://www.mathnet.ru/eng/tmf4700
  • https://www.mathnet.ru/eng/tmf/v62/i3/p472
    • This publication is cited in the following 3 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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025