Quasi-exactly-solvable quantal problems; One-dimensional analogue of rational conformal field theories

Journal Article · Mon Feb 19 23:00:00 EST 1990 · International Journal of Modern Physics A; (USA)

DOI:https://doi.org/10.1142/S0217751X90000374· OSTI ID:6475378

Morozov, A Y; Perelomov, A M; Rosly, A a ^[1]; Shifman, M A ^[2]; Turbiner, A V ^[3]

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1. Inst. of Theoretical and Experimental Physics, B. Cheremushkinskaya ul. 25, 117259 Moscow (SU)
2. Center for Theoretical Physics, Lab. for Nuclear Science and Dept. of Physics, Massachusetts Institute of Technology, Cambridge, MA (US)
3. 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), Journal Name: International Journal of Modern Physics A; (USA) Vol. 5:4; ISSN IMPAE; ISSN 0217-751X
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CALCULATION METHODS
CONFORMAL INVARIANCE
FIELD THEORIES
INVARIANCE PRINCIPLES
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