
This article is cited in 2 scientific papers (total in 2 papers)
Wavefunction representation by means of a system of nonorthogonal functions and allowance for the contribution of the discrete levels of a singleparticle 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 firstapproximation 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, “Wavefunction representation by means of a system of nonorthogonal functions and allowance for the contribution of the discrete levels of a singleparticle 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 Wavefunction representation by means of a~system of nonorthogonal functions and allowance for the contribution of the discrete levels of a~singleparticle system to the probability of its multiphoton ionization
\jour TMF
\yr 1970
\vol 5
\issue 1
\pages 154158
\mathnet{http://mi.mathnet.ru/tmf4194}
\transl
\jour Theoret. and Math. Phys.
\yr 1970
\vol 5
\issue 1
\pages 10531056
\crossref{https://doi.org/10.1007/BF01035988}
Linking options:
http://mi.mathnet.ru/eng/tmf4194 http://mi.mathnet.ru/eng/tmf/v5/i1/p154
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:

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

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

Number of views: 
This page:  257  Full text:  84  References:  26  First page:  1 
