Coherent states of the one-dimensional Dunkl oscillator for real and complex variables and the Segal–Bargmann transformation of Dunkl-type

DOI10.1088/1751-8121/acad4bOpenAlexW4313452314MaRDI QIDQ5879006

Sami Ghazouani

Publication date: 23 February 2023

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

Full work available at URL: https://doi.org/10.1088/1751-8121/acad4b

zbMATH Keywords

Lie algebrageneralized Hermite polynomialscoherent statesDunkl kernelDunkl operatorsBargmann transformfractional Dunkl transform

Mathematics Subject Classification ID

Partial differential equations (35-XX) Quantum theory (81-XX)

Related Items

On the path integral formulation of Wigner–Dunkl quantum mechanics ⋮ Rationally-extended Dunkl oscillator on the line

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