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


Zh. Vychisl. Mat. Mat. Fiz., 2011, Volume 51, Number 3, Pages 470–479 (Mi zvmmf8084)  

Comment on failure of excited-state energy calculation of analytical transfer matrix method for the potential $V(x)=(1/2)kx^2+\lambda x^4$

A. Hutem

Physics Division, Faculty of Science and Technology, Chiangmai Rajabhat University, Chiang mai 50300, Thailand

Abstract: The analytical transfer matrix method is applied to the quantum mechanical bound-state problem potential with $V(x)=(1/2)kx^2+\lambda x^4$. It is found that numerical values of phase contribution are unstable when compared with standard methods like numerical shoot method, WKB approximation, this leads to substantial errors in excited-state energy calculation.

Key words: bound-state problem of quantum mechanics, analytical transfer matrix-method, numerical method for quadrat – well problem.

Full text: PDF file (361 kB)
References: PDF file   HTML file

English version:
Computational Mathematics and Mathematical Physics, 2011, 51:3, 435–443

Bibliographic databases:

UDC: 519.634
Received: 27.07.2009
Revised: 17.05.2010
Language:

Citation: A. Hutem, “Comment on failure of excited-state energy calculation of analytical transfer matrix method for the potential $V(x)=(1/2)kx^2+\lambda x^4$”, Zh. Vychisl. Mat. Mat. Fiz., 51:3 (2011), 470–479; Comput. Math. Math. Phys., 51:3 (2011), 435–443

Citation in format AMSBIB
\Bibitem{Hut11}
\by A.~Hutem
\paper Comment on failure of excited-state energy calculation of analytical transfer matrix method for the potential
$V(x)=(1/2)kx^2+\lambda x^4$
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2011
\vol 51
\issue 3
\pages 470--479
\mathnet{http://mi.mathnet.ru/zvmmf8084}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2839578}
\transl
\jour Comput. Math. Math. Phys.
\yr 2011
\vol 51
\issue 3
\pages 435--443
\crossref{https://doi.org/10.1134/S0965542511030079}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000289167800006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79953702864}


Linking options:
  • http://mi.mathnet.ru/eng/zvmmf8084
  • http://mi.mathnet.ru/eng/zvmmf/v51/i3/p470

    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
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Number of views:
    This page:362
    Full text:74
    References:25
    First page:11

     
    Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2021