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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 120, Number 3, Pages 473–481
DOI: https://doi.org/10.4213/tmf791
(Mi tmf791)
 

This article is cited in 4 scientific papers (total in 4 papers)

Recurrent calculations of multipole matrix elements

S. Yu. Slavyanov

Saint-Petersburg State University
Full-text PDF (207 kB) Citations (4)
References:
Abstract: We propose a new method for calculating multipole matrix elements between wave eigenfunctions of the one-dimensional Schrödinger equation. The method is based on the transition to the auxiliary third- and fourth-order equations, to which an analogue of the Laplace transform is then applied. The resulting recursive procedure allows us to evaluate matrix elements starting with a number of eigenvalues that are assumed to be known and several basis matrix elements. As an example, we consider the multipole matrix elements between the wave functions of the harmonic and nonharmonic oscillators.
Received: 05.05.1999
English version:
Theoretical and Mathematical Physics, 1999, Volume 120, Issue 3, Pages 1213–1219
DOI: https://doi.org/10.1007/BF02557244
Bibliographic databases:
Language: Russian
Citation: S. Yu. Slavyanov, “Recurrent calculations of multipole matrix elements”, TMF, 120:3 (1999), 473–481; Theoret. and Math. Phys., 120:3 (1999), 1213–1219
Citation in format AMSBIB
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\paper Recurrent calculations of multipole matrix elements
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\jour Theoret. and Math. Phys.
\yr 1999
\vol 120
\issue 3
\pages 1213--1219
\crossref{https://doi.org/10.1007/BF02557244}
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  • https://doi.org/10.4213/tmf791
  • https://www.mathnet.ru/eng/tmf/v120/i3/p473
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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