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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2010 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146512 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862702680108957696 |
|---|---|
| author | Mazharimousavi, H. Mustafa, O. |
| author_facet | Mazharimousavi, H. Mustafa, O. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-12-07T16:46:15Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146512 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:46:15Z |
| publishDate | 2010 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Mazharimousavi, H. Mustafa, O. 2019-02-09T19:39:35Z 2019-02-09T19:39:35Z 2010 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 https://nasplib.isofts.kiev.ua/handle/123456789/146512 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability Article published earlier |
| spellingShingle | Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability Mazharimousavi, H. Mustafa, O. |
| title | 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_short | Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability |
| title_sort | flatland position-dependent-mass: polar coordinates, separability and exact solvability |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146512 |
| work_keys_str_mv | AT mazharimousavih flatlandpositiondependentmasspolarcoordinatesseparabilityandexactsolvability AT mustafao flatlandpositiondependentmasspolarcoordinatesseparabilityandexactsolvability |