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Teoreticheskaya i Matematicheskaya Fizika, 1971, Volume 6, Number 3, Pages 392–402 (Mi tmf3646)  

This article is cited in 31 scientific papers (total in 31 papers)

Green's functions of the Schrödinger equation for the simplest systems

V. L. Bakhrakh, S. I. Vetchinkin
References:
Abstract: Closed analytic representations of the Green's functions of the Schrödinger equation are considered for an harmonic oscillator (linear and three-dimensional isotropie oscillator), the Morse oscillator, the generalized Kepler problem (the Kratzer potential), and for the double symmetric potential well $V(x)=\frac{m\omega^2}{2}(|x|-R)^2$. The coordinate representation of the Green's function is expressed in a form convenient for applications. These models, like those of free motion and the hydrogen atom (for which closed expressions for the Green's functions are known), belong to the class of problems for which the Schrödinger equation can be reduced to the canonical form of the confluent hypergeometric equation.
Received: 26.05.1970
English version:
Theoretical and Mathematical Physics, 1971, Volume 6, Issue 3, Pages 283–290
DOI: https://doi.org/10.1007/BF01030109
Bibliographic databases:
Language: Russian
Citation: V. L. Bakhrakh, S. I. Vetchinkin, “Green's functions of the Schrödinger equation for the simplest systems”, TMF, 6:3 (1971), 392–402; Theoret. and Math. Phys., 6:3 (1971), 283–290
Citation in format AMSBIB
\Bibitem{BakVet71}
\by V.~L.~Bakhrakh, S.~I.~Vetchinkin
\paper Green's functions of~the~Schr\"{o}dinger equation for~the~simplest systems
\jour TMF
\yr 1971
\vol 6
\issue 3
\pages 392--402
\mathnet{http://mi.mathnet.ru/tmf3646}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=475399}
\transl
\jour Theoret. and Math. Phys.
\yr 1971
\vol 6
\issue 3
\pages 283--290
\crossref{https://doi.org/10.1007/BF01030109}
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  • https://www.mathnet.ru/eng/tmf/v6/i3/p392
  • This publication is cited in the following 31 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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