Flatland position-dependent-mass: Polar coordinates, separability and exact solvability

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Abstract

The kinetic energy operator with position-dependent-mass in plane polar coordinates is obtained. The separability of the corresponding Schrödinger equation is discussed. A hypothetical toy model is reported and two exactly solvable examples are studied.

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Mazharimousavi, S. H., & Mustafa, O. (2010). Flatland position-dependent-mass: Polar coordinates, separability and exact solvability. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 6. https://doi.org/10.3842/SIGMA.2010.088

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