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Teoreticheskaya i Matematicheskaya Fizika, 1983, Volume 56, Number 1, Pages 74–79 (Mi tmf2191)  
This article is cited in 4 scientific papers (total in 4 papers)

The inverse problem of quantum mechanics for a linear potential

V. B. Gostev, V. S. Mineev, A. R. Frenkin
Full-text PDF (320 kB) Citations (4)
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Abstract: The applicability of the Gel'fand–Levitan method for solving the inverse problem in the case of potentials that increase unboundedly at infinity is demonstrated for the example of a linear potential. The following cases are considered: 1) change in the normalization of one of the eigenvalues; 2) complete elimination of one of the eigenstates; 3) inclusion in the spectrum of a new state with arbitrary energy. For all three cases, the asymptotic behavior of the new wave functions and the corrections to the reference (linear) potential are calculated.
Received: 17.02.1982
English version:
Theoretical and Mathematical Physics, 1983, Volume 56, Issue 1, Pages 682–686
DOI: https://doi.org/10.1007/BF01027542
Bibliographic databases:
Language: Russian
Citation: V. B. Gostev, V. S. Mineev, A. R. Frenkin, “The inverse problem of quantum mechanics for a linear potential”, TMF, 56:1 (1983), 74–79; Theoret. and Math. Phys., 56:1 (1983), 682–686
Citation in format AMSBIB
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\by V.~B.~Gostev, V.~S.~Mineev, A.~R.~Frenkin
\paper The inverse problem of quantum mechanics for a~linear potential
\jour TMF
\yr 1983
\vol 56
\issue 1
\pages 74--79
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=711011}
\transl
\jour Theoret. and Math. Phys.
\yr 1983
\vol 56
\issue 1
\pages 682--686
\crossref{https://doi.org/10.1007/BF01027542}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1983SA59100007}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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