Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability
Quantum Physics
2010-11-01 v4 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1003.3003,
title = {Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability},
author = {S. Habib Mazharimousavi and Omar Mustafa},
journal= {arXiv preprint arXiv:1003.3003},
year = {2010}
}