Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Mathematical Physics

Comment on “Barut–Girardello and Klauder–Perelomov coherent states for the Kravchuk functions” [J. Math. Phys. 48, 112106 (2007)]

Hossein Fakhri, Alireza Dehghani

Published Apr 1, 2008• 1 citation
Publisher

Abstract

We call attention to the misconstructions in a paper recently published in this journal [A. Chenaghlou and O. Faizy, J. Math. Phys. 48, 112106 (2007)]. It is shown that the constructed Barut–Girardello coherent states are problematic from the view points of the definition and the measure. The claimed coherencies for the Kravchuk functions cannot actually exist.

DOI
10.1063/1.2898479

Related papers

Barut-Girardello and Klauder-Perelomov coherent states for the Kravchuk functions

Alireza Chenaghlou, Omid Faizy

The Barut-Girardello and Klauder-Perelomov coherent states for the Kravchuk functions are constructed. It is shown that the resolution of unity condition is satisfied for both of the coherent states. Also in the N+1-dimensional Hilbert space spanned by the Kravchuk eigenstates, the appropriate measure and analytic function are obtained.

Journal of Mathematical Physics•Nov 1, 2007•9 citations

Considerations of the duality in generalized coherent states formalism

Dušan Popov

In the paper, a pair of dual operators is introduced with which a dual pair of generalized displacement operators is constructed. With these entities it is shown that the Barut - Girardello and Klauder - Perelomov generalized coherent states are dual states. The characteristics of these coherent states are constructed, separately and comparatively.

arXiv:2302.04245•Feb 8, 2023•0 citations

Coherent States for Generalized Laguerre Functions

Jellal, A

We explicitly construct a Hamiltonian whose exact eigenfunctions are the generalized Laguerre functions. Moreover, we present the related raising and lowering operators. We investigate the corresponding coherent states by adopting three different methods which are due to $(i)$ Barut-Girardello, $(ii)$ Gazeau-Klauder and $(iii)$ Perelomov associated to Lie algebra $su(1,1)$. Resolution of unity and overlapping properties are examined in each method.

•Sep 4, 2001•16 citations

Comments on “Gazeau–Klauder coherent states for trigonometric Rosen–Morse potential” [J. Math. Phys. 49, 022104 (2008)]

Hossein Fakhri, Alireza Dehghani

In a recently published paper in this journal [A. Cheaghlou and O. Faizy, J. Math. Phys. 49, 022104 (2008)], the authors introduce the Gazeau–Klauder coherent states for the trigonometric Rosen–Morse potential as an infinite superposition of the wavefunctions. It is shown that their proposed measure to realize the resolution of the identity condition is not positive definite. Consequently, the claimed coherencies for the trigonometric Rosen–Morse wavefunctions cannot actually exist.

Journal of Mathematical Physics•May 1, 2008•2 citations

Comments on “Barut-Girardello Coherent States for the Parabolic Cylinder Functions”

Hossein Fakhri, Alireza Dehghani, B. Mojaveri

International Journal of Theoretical Physics•Jul 23, 2008•0 citations

Comment on “Quasi-coherent states for the Hermite oscillator” [J. Math. Phys. 59, 062104 (2018)]

Kevin Zelaya, Oscar Rosas-Ortiz

The paper of Ünal [J. Math. Phys. 59, 062104 (2018)], though worthy of attention, contains a conclusion that is in error and may mislead the efforts to extend his results. The aim of the present note is twofold: we provide a correction to such a conclusion and then we emphasize some missing points that are necessary to clarify the content of the paper.

arXiv:1810.03662•Journal of Mathematical Physics•May 1, 2019•4 citations
We call attention to the misconstructions in a paper recently published in this journal [A. Chenaghlou and O. Faizy, J. Math. Phys. 48, 112106 (2007)]. It is shown that the constructed Barut–Girardello coherent states are problematic from the view points of the definition and the measure. The claimed coherencies for the Kravchuk functions cannot actually exist.
We explicitly construct a Hamiltonian whose exact eigenfunctions are the generalized Laguerre functions. Moreover, we present the related raising and lowering operators. We investigate the corresponding coherent states by adopting three different methods which are due to (i)(i)(i) Barut-Girardello, (ii)(ii)(ii) Gazeau-Klauder and (iii)(iii)(iii) Perelomov associated to Lie algebra su(1,1)su(1,1)su(1,1). Resolution of unity and overlapping properties are examined in each method.