Spectral analysis of generators of representations of the group U(3)

Journal Article · Wed Jun 01 00:00:00 EDT 1988 · Theor. Math. Phys.; (United States)

OSTI ID:5872955

Rozenblyum, A V

In the space of an irreducible unitary representation of the group U(3) a basis consisting of eigenvectors of the generator of the Wigner d functions is constructed. The eigenvectors of the generator are described in terms of a certain class of orthogonal polynomials of two discrete variables; these generalize the Kravchuk polynomials. An expansion of the d functions with respect to exponential functions is obtained.

• Research Organization: Grodno State Univ. (USSR)
• OSTI ID: 5872955
• Journal Information: Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 73:3; ISSN TMPHA
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EIGENVALUES
EIGENVECTORS
FUNCTIONS
IRREDUCIBLE REPRESENTATIONS
LIE GROUPS
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
ORTHOGONAL TRANSFORMATIONS
POLYNOMIALS
SERIES EXPANSION
SPECTRA
SYMMETRY
SYMMETRY GROUPS
TRANSFORMATIONS
U GROUPS
U-3 GROUPS
UNITARY SYMMETRY
WIGNER THEORY