New algebraic quantum many-body problems
We develop a systematic procedure for constructing quantum many-body problems whose spectrum can be partially or totally computed by purely algebraic means. The exactly solvable models include rational and hyperbolic potentials related to root systems, in some cases with an additional external field...
| Authors: | , , |
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| Format: | article |
| Publication Date: | 2000 |
| Country: | España |
| Institution: | Universidad Complutense de Madrid (UCM) |
| Repository: | Docta Complutense |
| Language: | English |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/59635 |
| Online Access: | https://hdl.handle.net/20.500.14352/59635 |
| Access Level: | Open access |
| Keyword: | 51-73 Calogero-sutherland model Lie-algebras Hypergeometric-functions Root systems Dynamical-systems One dimension Operators Potentials Física-Modelos matemáticos Física matemática |
| Summary: | We develop a systematic procedure for constructing quantum many-body problems whose spectrum can be partially or totally computed by purely algebraic means. The exactly solvable models include rational and hyperbolic potentials related to root systems, in some cases with an additional external field. The quasi-exactly solvable models can be considered as deformations of the previous ones which share their algebraic character. |
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