Coherent states and Chebyshev polynomials

2003/07/18 by V. V. Borzov, Borzov, V. V., E. V. Damaskinsky +1
Chemistry · Computer Science · Physics and Astronomy · #FOS: Physical sciences #Molecular spectroscopy and chirality #Quantum Information and Cryptography #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0307133

5 pages, no figures, Latex2e, Based on the talk given on the Chebyshev Workshop, Obninsk, 2002

arxiv created 2003/07/18 · openalex publication_date 2003/07/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define the coherent states for the oscillator-like systems, connected with the Chebyshev polynomials T_n(x) and U_n(x) of the 1-st and 2-nd kind.

Related

• Generalized Coherent States for Classical Orthogonal Polynomials
• Generalized coherent states for q-oscillator connected with q-Hermite polynomials
• Coherent states of Krawtchouk oscillator and beyond
• The generalized coherent states for oscillators, Connected with Meixner and Meixner-Pollaczek polynomials % %
• Generalized Coherent States for q-oscillator connected with discrete q-Hermite polynomials