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
·
· J. Okla. State Med. Assoc.; (United States)
OSTI ID:6767151
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), Journal Name: J. Okla. State Med. Assoc.; (United States) Vol. 31:6; ISSN JOSMA
- Country of Publication:
- United States
- Language:
- English
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645400 -- High Energy Physics-- Field Theory
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CLASSICAL MECHANICS
FIELD THEORIES
FUNCTIONS
HAMILTONIANS
INVARIANCE PRINCIPLES
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MATHEMATICAL OPERATORS
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657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CLASSICAL MECHANICS
FIELD THEORIES
FUNCTIONS
HAMILTONIANS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL OPERATORS
MATRICES
MECHANICS
QUANTUM FIELD THEORY
QUANTUM MECHANICS
QUANTUM OPERATORS
R MATRIX
SYMMETRY GROUPS
WEIERSTRASS FUNCTIONS