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

Physics – Quantum Physics

Scientific paper

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Scientific paper

10.3842/SIGMA.2010.088

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

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