Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 6 (2010), 088, 8 pages      arXiv:1003.3003     https://doi.org/10.3842/SIGMA.2010.088

Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability

S. Habib Mazharimousavi and Omar Mustafa
Department of Physics, Eastern Mediterranean University, G Magusa, North Cyprus, Mersin 10, Turkey

Received August 15, 2010, in final form October 26, 2010; Published online October 29, 2010

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.

Key words: position dependent mass; polar coordinates; separability; exact solvability.

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