Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
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


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




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

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1961, Volume 1, Number 1, Pages 113–128 (Mi zvmmf8001)  
This article is cited in 10 scientific papers (total in 10 papers)

The quasi-classical asymptotic solutions of some problems in mathematical physics

V. P. Maslov

Moscow
Full-text PDF (1332 kB) Citations (10)
Abstract: A suitable transformation of the dependent and independent variables in Schrödinger's time-dependent equation for the quantized state of a system of particles in a potential field leades to a linear equation. It is shown by using perturbation theory that this equation has a series solution in powers of $h$ (Planck's constant). In this way it is found to be possible to pass in the limit, as $h\to 0$, from quantum mechanics to classical mechanics. The existence of the total integral of the Hamilton-Jacobi equation is also discussed.
Received: 14.10.1960
English version:
USSR Computational Mathematics and Mathematical Physics, 1962, Volume 1, Issue 1, Pages 123–141
DOI: https://doi.org/10.1016/0041-5553(62)90010-1
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. P. Maslov, “The quasi-classical asymptotic solutions of some problems in mathematical physics”, Zh. Vychisl. Mat. Mat. Fiz., 1:1 (1961), 113–128; U.S.S.R. Comput. Math. Math. Phys., 1:1 (1962), 123–141
Citation in format AMSBIB
\Bibitem{Mas61}
\by V.~P.~Maslov
\paper The quasi-classical asymptotic solutions of some problems in mathematical physics
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1961
\vol 1
\issue 1
\pages 113--128
\mathnet{http://mi.mathnet.ru/zvmmf8001}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0141382}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1962
\vol 1
\issue 1
\pages 123--141
\crossref{https://doi.org/10.1016/0041-5553(62)90010-1}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf8001
  • https://www.mathnet.ru/eng/zvmmf/v1/i1/p113
    Cycle of papers
    This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:479
    Full-text PDF :212
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024