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- W2006787417 abstract "In this paper, analytically investigated is a generalized one-dimensional time-dependent Schrödinger equation. Using Darboux transformation operator technique, we construct the first-order Darboux transformation and the real-valued condition of transformed potential for the generalized Schrödinger equation. To prove the equivalence of the supersymmetry formalism and the Darboux transformation, we investigate the relationship among first-order Darboux transformation, supersymmetry and factorization of the corresponding effective mass Hamiltonian. Furthermore, the nth-order Darboux transformations are constructed by means of different method. Finally, by using Darboux transformation, some analytical solutions are generated in a recursive manner for some examples of the Schrödinger equation." @default.
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- W2006787417 date "2012-03-01" @default.
- W2006787417 modified "2023-10-17" @default.
- W2006787417 title "Analytic solutions, Darboux transformation operators and supersymmetry for a generalized one-dimensional time-dependent Schrödinger equation" @default.
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- W2006787417 doi "https://doi.org/10.1016/j.amc.2012.01.009" @default.
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