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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2010
• ISSN: 1815-0659
• Main Authors: Mazharimousavi, H., Mustafa, O.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146512
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability / H. Mazharimousavi, O. Mustafa // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 30 назв. — англ.

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.