New expressions for Laguerre and Hermite polynomials
H. Moya-Cessa
TL;DR
This paper introduces novel expressions for Laguerre and Hermite polynomials utilizing operator algebras from quantum mechanics, offering new mathematical formulations.
Contribution
It presents new operator algebra-based expressions for Laguerre and Hermite polynomials, expanding their mathematical representations.
Findings
New operator algebra expressions for Laguerre polynomials
New operator algebra expressions for Hermite polynomials
Potential applications in quantum mechanics and mathematical physics
Abstract
New expressions for Laguerre and Hermite polynomials are shown. They are based on operator algebras commonly used in quantum mechanics.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Cold Atom Physics and Bose-Einstein Condensates · Quantum and Classical Electrodynamics