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, 1975, Volume 24, Number 3, Pages 412–418 (Mi tmf4026)  

Two-sided estimates for eigenvalues of the Schrödinger equation

G. V. Ryazanov


Abstract: Schrödinger equation is substituted into two systems of $n$ linear equations with $n$ unknown quantitys. The coefficients of these equations are the matrix elements of the hamiltonian between quasiclassical wavefunctions. The solution of these systems give the two-side estimates for eigenvalues of the Schrodinger equation. The relative distance between boundary $\simeq\lambda^k$, where $\lambda$ is the parameter of the quasiclassical decomposition for the $n$-th wavefunction, $k$ is the number of terms in this decomposition.

Full text: PDF file (303 kB)
References: PDF file   HTML file

English version:
Theoretical and Mathematical Physics, 1975, 24:3, 926–930

Bibliographic databases:

Received: 26.12.1974

Citation: G. V. Ryazanov, “Two-sided estimates for eigenvalues of the Schrödinger equation”, TMF, 24:3 (1975), 412–418; Theoret. and Math. Phys., 24:3 (1975), 926–930

Citation in format AMSBIB
\Bibitem{Rya75}
\by G.~V.~Ryazanov
\paper Two-sided estimates for eigenvalues of the Schr\"odinger equation
\jour TMF
\yr 1975
\vol 24
\issue 3
\pages 412--418
\mathnet{http://mi.mathnet.ru/tmf4026}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=496119}
\transl
\jour Theoret. and Math. Phys.
\yr 1975
\vol 24
\issue 3
\pages 926--930
\crossref{https://doi.org/10.1007/BF01029881}


Linking options:
  • http://mi.mathnet.ru/eng/tmf4026
  • http://mi.mathnet.ru/eng/tmf/v24/i3/p412

    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:307
    Full text:118
    References:36
    First page:1

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019