Quasi-Exactly Solvable Schrödinger Operators in Three Dimensions
The main contribution of our paper is to give a partial classification of the quasi-exactly solvable Lie algebras of first order differential operators in three variables, and to show how this can be applied to the construction of new quasi-exactly solvable Schrödinger operators in three dimensions....
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2007 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147219 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Quasi-Exactly Solvable Schrödinger Operators in Three Dimensions / M. Fortin Boisvert // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 26 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862621649581375488 |
|---|---|
| author | Fortin Boisvert, M. |
| author_facet | Fortin Boisvert, M. |
| citation_txt | Quasi-Exactly Solvable Schrödinger Operators in Three Dimensions / M. Fortin Boisvert // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 26 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The main contribution of our paper is to give a partial classification of the quasi-exactly solvable Lie algebras of first order differential operators in three variables, and to show how this can be applied to the construction of new quasi-exactly solvable Schrödinger operators in three dimensions.
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| first_indexed | 2025-12-07T13:25:17Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147219 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T13:25:17Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Fortin Boisvert, M. 2019-02-13T19:16:15Z 2019-02-13T19:16:15Z 2007 Quasi-Exactly Solvable Schrödinger Operators in Three Dimensions / M. Fortin Boisvert // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 26 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81Q70; 22E70; 53C80 https://nasplib.isofts.kiev.ua/handle/123456789/147219 The main contribution of our paper is to give a partial classification of the quasi-exactly solvable Lie algebras of first order differential operators in three variables, and to show how this can be applied to the construction of new quasi-exactly solvable Schrödinger operators in three dimensions. The research is supported by a NSERC Grant #RGPIN 105490 − 2004 and a McGill Graduate Studies Fellowship. I would like to thank Niky Kamran, for all the encouragement and the precious advice he gave me. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Quasi-Exactly Solvable Schrödinger Operators in Three Dimensions Article published earlier |
| spellingShingle | Quasi-Exactly Solvable Schrödinger Operators in Three Dimensions Fortin Boisvert, M. |
| title | Quasi-Exactly Solvable Schrödinger Operators in Three Dimensions |
| title_full | Quasi-Exactly Solvable Schrödinger Operators in Three Dimensions |
| title_fullStr | Quasi-Exactly Solvable Schrödinger Operators in Three Dimensions |
| title_full_unstemmed | Quasi-Exactly Solvable Schrödinger Operators in Three Dimensions |
| title_short | Quasi-Exactly Solvable Schrödinger Operators in Three Dimensions |
| title_sort | quasi-exactly solvable schrödinger operators in three dimensions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147219 |
| work_keys_str_mv | AT fortinboisvertm quasiexactlysolvableschrodingeroperatorsinthreedimensions |