Spectral resolution of SU(3)-invariant solutions of the Yang-Baxter equation

Journal Article · Sat Nov 01 00:00:00 EST 1986 · J. Okla. State Med. Assoc.; (United States)

OSTI ID:6730455

Alishavskas, S I; Kulish, P P

The spectral resolution of invariant R-matrices is computed on the basis of solution of the defining equation. Multiple representations in the Clebsch-Gordon series are considered by means of the classifying operator A: a linear combination of known operators of third and fourth degrees in the group generators. The matrix elements of A in a nonorthonormal basis are found. Explicit expressions are presented for the spectral resolutions for a number of representations.

• OSTI ID: 6730455
• Journal Information: J. Okla. State Med. Assoc.; (United States), Vol. 35:4
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
R MATRIX
IRREDUCIBLE REPRESENTATIONS
SU-3 GROUPS
CASIMIR OPERATORS
CLEBSCH-GORDAN COEFFICIENTS
EIGENVALUES
MATRIX ELEMENTS
QUANTUM FIELD THEORY
RESOLUTION
SCALARS
FIELD THEORIES
LIE GROUPS
MATHEMATICAL OPERATORS
MATRICES
SU GROUPS
SYMMETRY GROUPS
645400* - High Energy Physics- Field Theory