All exactly solvable U(1)-invariant quantum spin 1 chains from Hecke algebra

Journal Article · Thu Dec 10 00:00:00 EST 1992 · International Journal of Modern Physics A; (United States)

DOI:https://doi.org/10.1142/S0217751X92003458· OSTI ID:6711370

Alcarez, F C ^[1]; Koberle, R ^[2]; Lima-Santos, A ^[3]

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1. California Univ., Santa Barbara, CA (United States)
2. Instituto de Fisica e Quimica de Sao Carlos, Universidade de Sao Paulo, Caixa Postal 676, Sao Carlos 13560 (Brazil)
3. Inst. de Fisica da Universidade de .sao Paulo, Caixa Postal 20516, Sao Paulo (Brazil)

In this paper, the authors obtain all exactly integrable spin 1 quantum chains, which are U(1) invariant and satisfy the Hecke algebra. The authors present various generalizations for arbitrary spin S and discuss their solution via Bethe ansatz methods.

• Sponsoring Organization: National Science Foundation (NSF); National Science Foundation, Washington, DC (United States)
• OSTI ID: 6711370
• Journal Information: International Journal of Modern Physics A; (United States), Vol. 7:30; ISSN 0217-751X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
INVARIANCE PRINCIPLES
QUANTUM MECHANICS
U-1 GROUPS
FIELD ALGEBRA
LIE GROUPS
MECHANICS
SYMMETRY GROUPS
U GROUPS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
662120 - General Theory of Particles & Fields- Symmetry
Conservation Laws
Currents & Their Properties- (1992-)