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- W2140125315 abstract "An exactly solvable position-dependent mass Schrodinger equation in two di- mensions, depicting a particle moving in a semi-infinite layer, is re-examined in the light of recent theories describing superintegrable two-dimensional systems with integrals of motion that are quadratic functions of the momenta. To get the energy spectrum a quadratic algebra approach is used together with a realization in terms of deformed parafermionic oscillator operators. In this process, the importance of supplementing algebraic considerations with a proper treatment of boundary conditions for selecting physical wavefunctions is stressed. Some new results for matrix elements are derived. This example emphasizes the interest of a quadratic algebra approach to position-dependent mass Schrodinger equations." @default.
- W2140125315 created "2016-06-24" @default.
- W2140125315 creator A5071205193 @default.
- W2140125315 date "2007-05-17" @default.
- W2140125315 modified "2023-09-23" @default.
- W2140125315 title "Quadratic Algebra Approach to an Exactly Solvable Position-Dependent Mass Schrödinger Equation in Two Dimensions" @default.
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- W2140125315 doi "https://doi.org/10.3842/sigma.2007.067" @default.
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