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Teoreticheskaya i Matematicheskaya Fizika, 1991, Volume 88, Number 1, Pages 37–45 (Mi tmf5773)  
Oscillator with centrifugal barrier. Inverse problem

V. B. Gostev, A. R. Frenkin
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Abstract: Physical arguments are used to justify a method for choosing even solutions for an oscillator with barrier (well) $\lambda x^{-2}$. A rule for continuing solutions of the Schrödinger equation through this barrier is formulated. An integral Gel'fand–Levitan equation is obtained on the basis of this rule, and the inverse problem is solved in some special cases.
Received: 04.05.1990
English version:
Theoretical and Mathematical Physics, 1991, Volume 88, Issue 1, Pages 699–706
DOI: https://doi.org/10.1007/BF01016336
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Language: Russian
Citation: V. B. Gostev, A. R. Frenkin, “Oscillator with centrifugal barrier. Inverse problem”, TMF, 88:1 (1991), 37–45; Theoret. and Math. Phys., 88:1 (1991), 699–706
Citation in format AMSBIB
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\by V.~B.~Gostev, A.~R.~Frenkin
\paper Oscillator with centrifugal barrier. Inverse problem
\jour TMF
\yr 1991
\vol 88
\issue 1
\pages 37--45
\mathnet{http://mi.mathnet.ru/tmf5773}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1129684}
\transl
\jour Theoret. and Math. Phys.
\yr 1991
\vol 88
\issue 1
\pages 699--706
\crossref{https://doi.org/10.1007/BF01016336}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991HD43300007}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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