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

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Natl Acad Sci Ukraine

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info:eu-repo/semantics/openAccess

Abstract

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

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The file in this item is the publisher version (published version) of the article.

Keywords

PHYSICS, MATHEMATICAL, ALGEBRAS, INVARIANCE, SCHRODINGER-EQUATION, PARTICLE, exact solvability, POTENTIALS, HAMILTONIANS, position dependent mass, polar coordinates, dependent mass, Quantum Physics, Mathematical Physics, WELL, Polar coordinates Separability, QA1-939, Science, Mathematics

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Symmetry Integrabılıty And Geometry-Methods And Applications

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6

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S. Habib Mazharimousavi and O. Mustafa; SIGMA 6, 088 (2010): arXiv: 1003.3003 "Flatland position dependent mass; Polar coordinates, separability and exact solvability". SCI-Expanded-journal

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