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• W2103802732 abstract "On using the known equivalence between the presence of a position-dependent mass (PDM) in the Schrodinger equation and a deformation of the canonical commutation relations, a method based on deformed shape invariance has recently been devised for genera- ting pairs of potential and PDM for which the Schrodinger equation is exactly solvable. This approach has provided the bound-state energy spectrum, as well as the ground-state and the first few excited-state wavefunctions. The general wavefunctions have however remained unknown in explicit form because for their determination one would need the solutions of a rather tricky differential-difference equation. Here we show that solving this equation may be avoided by combining the deformed shape invariance technique with the point canonical transformation method in a novel way. It consists in employing our previous knowledge of the PDM problem energy spectrum to construct a constant-mass Schrodinger equation with similar characteristics and in deducing the PDM wavefunctions from the known constant- mass ones. Finally, the equivalence of the wavefunctions coming from both approaches is checked." @default.
• W2103802732 created "2016-06-24" @default.
• W2103802732 creator A5071205193 @default.
• W2103802732 date "2009-04-15" @default.
• W2103802732 modified "2023-09-30" @default.
• W2103802732 title "Point Canonical Transformation versus Deformed Shape Invariance for Position-Dependent Mass Schrödinger Equations" @default.
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• W2103802732 doi "https://doi.org/10.3842/sigma.2009.046" @default.
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