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 Schr¨odinger equation is discussed.
 A hypothetical toy model is reported and two exactly solvable examples are studied.

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2010
Hauptverfasser: Mazharimousavi, H., Mustafa, O.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2010
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/146512
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
Beschreibung
Zusammenfassung: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.
ISSN:1815-0659