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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| Datum: | 2010 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2010
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| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | http://dspace.nbuv.gov.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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irk-123456789-1465122019-02-10T01:25:44Z Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability Mazharimousavi, H. Mustafa, O. 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. 2010 Article 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. 1815-0659 2010 Mathematics Subject Classification: 81Q05; 81Q60 DOI:10.3842/SIGMA.2010.088 http://dspace.nbuv.gov.ua/handle/123456789/146512 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Mazharimousavi, H. Mustafa, O. |
| spellingShingle |
Mazharimousavi, H. Mustafa, O. Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Mazharimousavi, H. Mustafa, O. |
| author_sort |
Mazharimousavi, H. |
| 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 |
Інститут математики НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146512 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT mazharimousavih flatlandpositiondependentmasspolarcoordinatesseparabilityandexactsolvability AT mustafao flatlandpositiondependentmasspolarcoordinatesseparabilityandexactsolvability |
| first_indexed |
2025-07-11T00:09:12Z |
| last_indexed |
2025-07-11T00:09:12Z |
| _version_ |
1837307058328698880 |