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Teoreticheskaya i Matematicheskaya Fizika, 1996, Volume 109, Number 1, Pages 107–123
DOI: https://doi.org/10.4213/tmf1215 (Mi tmf1215) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Solution of spectral problem for Schrödinger equation with degenerate polinomial potential of even power

V. N. Sorokina, A. S. Vshivtsevb, N. V. Norinb

a M. V. Lomonosov Moscow State University
b Moscow State Institute of Radio-Engineering, Electronics and Automation (Technical University)
Full-text PDF (267 kB) Citations (13)
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DOI: https://doi.org/10.4213/tmf1215
Abstract: The symmetry of the stationary Schrödinger equation with a degenerate potential $U(x)=x^{2r}$, $r \in Z_+$, describing phase transitions in quantum systems, is reveled. The analytical procedure of finding the eigenvalues of the potentials in question is constructed and realized numerically for $r=2,3,\dots,18$. The low energy levels are found.
Received: 08.08.1995
English version:
Theoretical and Mathematical Physics, 1996, Volume 109, Issue 1, Pages 1329–1341
DOI: https://doi.org/10.1007/BF02069892
Bibliographic databases:
Language: Russian
Citation: V. N. Sorokin, A. S. Vshivtsev, N. V. Norin, “Solution of spectral problem for Schrödinger equation with degenerate polinomial potential of even power”, TMF, 109:1 (1996), 107–123; Theoret. and Math. Phys., 109:1 (1996), 1329–1341
Citation in format AMSBIB
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\by V.~N.~Sorokin, A.~S.~Vshivtsev, N.~V.~Norin
\paper Solution of spectral problem for Schr\"odinger equation with degenerate polinomial potential of even power
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\yr 1996
\vol 109
\issue 1
\pages 107--123
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\transl
\jour Theoret. and Math. Phys.
\yr 1996
\vol 109
\issue 1
\pages 1329--1341
\crossref{https://doi.org/10.1007/BF02069892}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996XH02300010}
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    • This publication is cited in the following 13 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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