Orthogonal polynomials in the Lie algebras
Journal Article
·
· Sov. Phys. J. (Engl. Transl.); (United States)
The authors present a method of constructing orthogonal polynomials generated by pairs of Hermitian operators in representations of Lie algebras. All known classical polynomials of both discrete and continuous argument are generated naturally by the simplest Lie algebras.
- Research Organization:
- Donets State Univ. (USSR)
- OSTI ID:
- 5336428
- Journal Information:
- Sov. Phys. J. (Engl. Transl.); (United States), Journal Name: Sov. Phys. J. (Engl. Transl.); (United States) Vol. 29:5; ISSN SOPJA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CLEBSCH-GORDAN COEFFICIENTS
EIGENFUNCTIONS
FIELD THEORIES
FUNCTIONS
GROUP THEORY
HEISENBERG PICTURE
HERMITIAN OPERATORS
JACOBIAN FUNCTION
LIE GROUPS
MATHEMATICAL OPERATORS
MATHEMATICS
MATRIX ELEMENTS
ORTHOGONAL TRANSFORMATIONS
POLYNOMIALS
SU GROUPS
SYMMETRY
SYMMETRY GROUPS
TRANSFORMATIONS
UNIFIED-FIELD THEORIES
UNITARY SYMMETRY
WEIGHTING FUNCTIONS
WEYL UNIFIED THEORY
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CLEBSCH-GORDAN COEFFICIENTS
EIGENFUNCTIONS
FIELD THEORIES
FUNCTIONS
GROUP THEORY
HEISENBERG PICTURE
HERMITIAN OPERATORS
JACOBIAN FUNCTION
LIE GROUPS
MATHEMATICAL OPERATORS
MATHEMATICS
MATRIX ELEMENTS
ORTHOGONAL TRANSFORMATIONS
POLYNOMIALS
SU GROUPS
SYMMETRY
SYMMETRY GROUPS
TRANSFORMATIONS
UNIFIED-FIELD THEORIES
UNITARY SYMMETRY
WEIGHTING FUNCTIONS
WEYL UNIFIED THEORY