Solutions of the triangle equations with Z/sub n/ x Z/sub n/ -symmetry and matrix analogs of the weierstrass zeta-and sigma-functions

Journal Article · Fri Dec 20 00:00:00 EST 1985 · J. Okla. State Med. Assoc.; (United States)

OSTI ID:6767151

Takhtadzhyan, L A

The matrix analogs of Weierstrass's zeta and sigma functions are introduced. It is proved that in the case of Z/sub n/ x Z/sub n/ -symmetry the classical -matrix coincides with the matrix zeta-function, whereas the quantum r -matrix is expressible as a ratio of matrix sigma-functions. The obtained formulas are considered to be the result of averaging over the period lattice.

• OSTI ID: 6767151
• Journal Information: J. Okla. State Med. Assoc.; (United States), Vol. 31:6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
WEIERSTRASS FUNCTIONS
R MATRIX
CLASSICAL MECHANICS
HAMILTONIANS
INVARIANCE PRINCIPLES
LIE GROUPS
QUANTUM FIELD THEORY
QUANTUM MECHANICS
FIELD THEORIES
FUNCTIONS
MATHEMATICAL OPERATORS
MATRICES
MECHANICS
QUANTUM OPERATORS
SYMMETRY GROUPS
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics
645400 - High Energy Physics- Field Theory