Matrix Elements of Generalized Coherent Operators
Kazuyuki Fujii (Yokohama City Univ.)
TL;DR
This paper derives explicit matrix element formulas for generalized coherent operators linked to su(1,1) and su(2) Lie algebras, and presents a factorization formula for related Laguerre polynomials.
Contribution
It provides explicit matrix element formulas and a new factorization formula for Laguerre polynomials associated with generalized coherent operators.
Findings
Explicit matrix element formulas for su(1,1) and su(2) coherent operators
A factorization formula for associated Laguerre polynomials
Enhanced understanding of Lie algebra-based quantum operators
Abstract
Explicit forms are given of matrix elements of generalized coherent operators based on Lie algebras su(1,1) and su(2). We also give a kind of factorization formula of the associated Laguerre polynomials.
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Taxonomy
TopicsMathematical functions and polynomials · Approximation Theory and Sequence Spaces · Matrix Theory and Algorithms