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

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.

Bibliographic Details
Main Authors:	Omar Mustafa, S. Habib Mazharimousavi
Format:	Article
Language:	English
Published:	National Academy of Science of Ukraine 2010-10-01
Series:	Symmetry, Integrability and Geometry: Methods and Applications
Subjects:	position dependent mass polar coordinates separability exact solvability
Online Access:	http://dx.doi.org/10.3842/SIGMA.2010.088

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record_format	Article
spelling	doaj-0a6f909eff9045d6b55e91dca485d3122020-11-24T22:44:25ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592010-10-016088Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact SolvabilityOmar MustafaS. Habib MazharimousaviThe 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.http://dx.doi.org/10.3842/SIGMA.2010.088position dependent masspolar coordinatesseparabilityexact solvability
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Omar Mustafa S. Habib Mazharimousavi
spellingShingle	Omar Mustafa S. Habib Mazharimousavi Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability Symmetry, Integrability and Geometry: Methods and Applications position dependent mass polar coordinates separability exact solvability
author_facet	Omar Mustafa S. Habib Mazharimousavi
author_sort	Omar Mustafa
title	Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability
title_short	Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability
title_full	Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability
title_fullStr	Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability
title_full_unstemmed	Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability
title_sort	flatland position-dependent-mass: polar coordinates, separability and exact solvability
publisher	National Academy of Science of Ukraine
series	Symmetry, Integrability and Geometry: Methods and Applications
issn	1815-0659
publishDate	2010-10-01
description	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.
topic	position dependent mass polar coordinates separability exact solvability
url	http://dx.doi.org/10.3842/SIGMA.2010.088
work_keys_str_mv	AT omarmustafa flatlandpositiondependentmasspolarcoordinatesseparabilityandexactsolvability AT shabibmazharimousavi flatlandpositiondependentmasspolarcoordinatesseparabilityandexactsolvability
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Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability

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