S. Habib Mazharimousavi, Omar Mustafa, “Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability”, SIGMA, 2010, Volume 6,088, 8 pp.

This article is cited in 6 papers

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

S. Habib Mazharimousavi, Omar Mustafa

Department of Physics, Eastern Mediterranean University, G Magusa, North Cyprus, Mersin 10, Turkey

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.

Keywords: position dependent mass; polar coordinates; separability; exact solvability.

MSC: 81Q05; 81Q60

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

Language: English

DOI: 10.3842/SIGMA.2010.088