Coherent states associated to the wavefunctions and the spectrum of the isotonic oscillator

Abstract

Classes of coherent states are presented by replacing the labeling parameter $z$ of Klauder-Perelomov type coherent states by confluent hypergeometric functions with specific parameters. Temporally stable coherent states for the isotonic oscillator Hamiltonian are presented and these states are identified as a particular case of the so-called Mittag-Leffler coherent states.

arXiv comment12 pages

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• Spiked harmonic oscillators
• Integrals containing confluent hypergeometric functions with applications to perturbed singular potentials
• Coherent States for Generalized Laguerre Functions
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Cited by in corpus (16)

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• On the quantum information entropies and squeezing associated with the eigenstates of isotonic oscillator
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• On purely nonlinear oscillators generalizing an isotonic potential
• Phase coherent states with circular Jacobi polynomials for the pseudoharmonic oscillator
• A new class of coherent states with Meixner-Pollaczek polynomials for the Gol'dman-Krivchenkov Hamiltonian
• Pseudo-Hermitian extensions of the harmonic and isotonic oscillators
• Probability Distributions attached to generalised Bergman Spaces on the Poincaré Disk
• Dirac-isotonic oscillators in (1 + 1) and (2 + 1) dimensions
• A generating function for Hermite polynomials in connection with Euclidean Landau levels
• New coherent states with Laguerre polynomials coefficients for the symmetric Poschl-Teller oscillator
• Coherent state transforms attached to generalized Bargmann spaces on the complex plane
• Dynamical symmetries of supersymmetric oscillators