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- W3105896165 abstract "Known shape-invariant potentials for the constant-mass Schrodinger equation are taken as effective potentials in a position-dependent effective mass (PDEM) one. The corresponding shape-invariance condition turns out to be deformed. Its solvability imposes the form of both the deformed superpotential and the PDEM. A lot of new exactly solvable potentials associated with a PDEM background are generated in this way. A novel and important condition restricting the existence of bound states whenever the PDEM vanishes at an end point of the interval is identified. In some cases, the bound-state spectrum results from a smooth deformation of that of the conventional shape-invariant potential used in the construction. In others, one observes a generation or suppression of bound states, depending on the mass-parameter values. The corresponding wavefunctions are given in terms of some deformed classical orthogonal polynomials." @default.
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- W3105896165 date "2005-03-15" @default.
- W3105896165 modified "2023-10-17" @default.
- W3105896165 title "Deformed shape invariance and exactly solvable Hamiltonians with position-dependent effective mass" @default.
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- W3105896165 doi "https://doi.org/10.1088/0305-4470/38/13/008" @default.
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