Quasi-exactly-solvable quantal problems; One-dimensional analogue of rational conformal field theories
Journal Article
·
· International Journal of Modern Physics A; (USA)
- Inst. of Theoretical and Experimental Physics, B. Cheremushkinskaya ul. 25, 117259 Moscow (SU)
- Center for Theoretical Physics, Lab. for Nuclear Science and Dept. of Physics, Massachusetts Institute of Technology, Cambridge, MA (US)
- Inst. of Theoretical and Experimental Physics, Moscow 117259 (SU)
The class of quasi-exactly-solvable problems in ordinary quantum mechanics discovered recently shows remarkable parallels with rational two-dimensional conformal field theories. This fact suggests that investigation of the quasi-exactly-solvable models may shed light on rational conformal field theories. The authors discuss a relation between these two theoretical schemes and propose a mathematical formulation for the procedure of constructing quasi-exactly solvable systems. This discussion leads us to a kind of generalization of the Sugawara construction.
- OSTI ID:
- 6475378
- Journal Information:
- International Journal of Modern Physics A; (USA), Vol. 5:4; ISSN 0217-751X
- Country of Publication:
- United States
- Language:
- English
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