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, 1970, Volume 5, Number 1, Pages 154–158 (Mi tmf4194)  

This article is cited in 2 scientific papers (total in 2 papers)

Wave-function representation by means of a system of nonorthogonal functions and allowance for the contribution of the discrete levels of a single-particle system to the probability of its multiphoton ionization

V. S. Butylkin, O. V. Kudrevatova


Abstract: A representation of a wave function by means of a system of nonorthogonal functions is proposed in order to describe the process of multiphoton transition of a material system from a ground state to the continuous spectrum with allowance for the other discrete levels. Equations are derived for the wave function in this approximation. Application of perturbation theory to these equations makes it possible to obtain a first-approximation description of the system in the discrete part of the spectrum independently of the continuous spectrum. The solution obtained for the discrete levels is used to calculate the probability of a transition of the system of the continuous spectrum. It is possible to describe multiphoton ionization in the first order of perturbation theory.

Full text: PDF file (514 kB)
References: PDF file   HTML file

English version:
Theoretical and Mathematical Physics, 1970, 5:1, 1053–1056

Received: 11.08.1969

Citation: V. S. Butylkin, O. V. Kudrevatova, “Wave-function representation by means of a system of nonorthogonal functions and allowance for the contribution of the discrete levels of a single-particle system to the probability of its multiphoton ionization”, TMF, 5:1 (1970), 154–158; Theoret. and Math. Phys., 5:1 (1970), 1053–1056

Citation in format AMSBIB
\Bibitem{ButKud70}
\by V.~S.~Butylkin, O.~V.~Kudrevatova
\paper Wave-function representation by means of a~system of nonorthogonal functions and allowance for the contribution of the discrete levels of a~single-particle system to the probability of its multiphoton ionization
\jour TMF
\yr 1970
\vol 5
\issue 1
\pages 154--158
\mathnet{http://mi.mathnet.ru/tmf4194}
\transl
\jour Theoret. and Math. Phys.
\yr 1970
\vol 5
\issue 1
\pages 1053--1056
\crossref{https://doi.org/10.1007/BF01035988}


Linking options:
  • http://mi.mathnet.ru/eng/tmf4194
  • http://mi.mathnet.ru/eng/tmf/v5/i1/p154

    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

    This publication is cited in the following articles:
    1. O. V. Kudrevatova, “Multiphoton ionization of a molecule calculated by means of a nonorthogonal system of wave functions”, Theoret. and Math. Phys., 11:3 (1972), 582–587  mathnet  crossref
    2. O. V. Kudrevatova, “On the joint influence of an electron and a radiation field on a molecule”, Theoret. and Math. Phys., 18:3 (1974), 287–292  mathnet  crossref
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
    Number of views:
    This page:257
    Full text:84
    References:26
    First page:1

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020