The quantum harmonic oscillator with icosahedral symmetry and some explicit wavefunctions

DOI10.1088/1751-8121/aceecbarXiv2302.10740OpenAlexW4385691303MaRDI QIDQ6095284

Charles F. Dunkl

Publication date: 7 September 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.10740

zbMATH Keywords

symmetryquantumicosahedralDunkl oscillator

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Hamilton's equations (70H05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Applications of Lie groups to the sciences; explicit representations (22E70) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Symmetric groups (20B30) Root systems (17B22)

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