Abstract:
The supersymmetry and the factorization methods are applied to solve the Dirac and Schrödinger equations. The series of central-symmetrical potentials admitting an exact solution of the radial Schrödinger equation is found.
Citation:
B. G. Idlis, M. M. Musakhanov, M. Sh. Usmanov, “Application of supersymmetry and factorization methods to solution of Dirac and Schrödinger equations”, TMF, 101:1 (1994), 47–59; Theoret. and Math. Phys., 101:1 (1994), 1191–1199
\Bibitem{IdlMusUsm94}
\by B.~G.~Idlis, M.~M.~Musakhanov, M.~Sh.~Usmanov
\paper Application of supersymmetry and factorization methods to solution of Dirac and Schr\"odinger equations
\jour TMF
\yr 1994
\vol 101
\issue 1
\pages 47--59
\mathnet{http://mi.mathnet.ru/tmf1667}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1348138}
\zmath{https://zbmath.org/?q=an:0875.35088}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 101
\issue 1
\pages 1191--1199
\crossref{https://doi.org/10.1007/BF01079255}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994QT57100004}
Linking options:
https://www.mathnet.ru/eng/tmf1667
https://www.mathnet.ru/eng/tmf/v101/i1/p47
This publication is cited in the following 4 articles:
Shou-Fu Tian, Sheng-Wu Zhou, Wu-You Jiang, Hong-Qing Zhang, “Analytic solutions, Darboux transformation operators and supersymmetry for a generalized one-dimensional time-dependent Schrödinger equation”, Applied Mathematics and Computation, 218:13 (2012), 7308
Maksimenko N.V., Kuchin S.M., “Determination of the Mass Spectrum of Quarkonia By the Nikiforov-Uvarov Method”, Russian Physics Journal, 54:1 (2011), 57–65
Vladislav G Bagrov, Boris F Samsonov, “Darboux transformation and elementary exact solutions of the Schrödinger equation”, Pramana - J Phys, 49:6 (1997), 563