New coherent states with Laguerre polynomials coefficients for the symmetric Pöschl–Teller oscillator
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Publication:5256059
DOI10.1088/1751-8113/48/21/215204zbMATH Open1318.81037arXiv1501.00895OpenAlexW3106298081MaRDI QIDQ5256059
Author name not available (Why is that?)
Publication date: 22 June 2015
Published in: (Search for Journal in Brave)
Abstract: We construct a new class of coherent states labeled by points z of the complex plane and depending on three numbers (gamma, nu) and epsilon positive by replacing the coefficients of the canonical coherent states by Laguerre polynomials. These states are superpositions of eigenstates of the symmetric Poschl-Teller oscillator and they solve the identity of the states Hilbert space at the limit epsilon goes to 0. Their wavefunctions are obtained in a closed form for a special case of parameters (gamma, nu). We discuss their associated coherent states transform which leads to an integral representation of Hankel type for Laguerre functions.
Full work available at URL: https://arxiv.org/abs/1501.00895
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