Darboux transformation and elementary exact solutions of the Schrödinger equation
Vladislav G Bagrov Boris F Samsonov
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Darboux transformation is applied to three classical potentials, namely the harmonic oscillator, effective Coulomb and Morse potentials to generate exactly solvable potentials of elementary form. For every potential, the isospectral families of potentials are constructed. For almost all potentials, a set of normalized discrete spectrum wave functions is given.
Vladislav G Bagrov1 2 Boris F Samsonov1
Volume 96, 2022
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