Lie-algebraic approach to the problem of quasi-exact solubility in quantum mechanics

Journal Article · Thu Sep 20 04:00:00 EDT 1990 · Modern Physics Letters A; (United States)

DOI:https://doi.org/10.1142/S0217732390002146· OSTI ID:5736351

Ushveridze, A G ^[1]

---

1. Inst. of Physics of Georgian Academy of Sciences, Guramishvili Str. 6, Tbilisi 380077 (SU)

In this paper method of constructing quasi-exactly solvable models of quantum mechanics is proposed. This method is based on the use of infinite-dimensional representations of simple and semi-simple Lie algebras.

• OSTI ID: 5736351
• Journal Information: Modern Physics Letters A; (United States), Journal Name: Modern Physics Letters A; (United States) Vol. 5:23; ISSN 0217-7323; ISSN MPLAE
• Country of Publication: United States
• Language: English

Related Subjects

661100 -- Classical & Quantum Mechanics-- (1992-)
662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRAIC FIELD THEORY
AXIOMATIC FIELD THEORY
FIELD ALGEBRA
FIELD THEORIES
LIE GROUPS
MECHANICS
QUANTUM FIELD THEORY
QUANTUM MECHANICS
SYMMETRY GROUPS