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STATISTICAL PROPERTIES OF KLAUDER–PERELOMOV COHERENT STATES FOR THE MORSE POTENTIAL

Mohammed Daoud A, D. POPOV

We present in this letter a realistic construction of the coherent states for the Morse potential using the Klauder–Perelomov approach. We discuss the statistical properties of these states, by deducing the Q- and P-distribution functions. The thermal expectations for the quantum canonical ideal gas of the Morse oscillators are also calculated.

arXiv:math-ph/0409054International Journal of Modern Physics BJan 30, 200414 citations

Klauder-Perelomov and Gazeau-Klauder coherent states for an electron in the Morse-like magnetic field

B. Mojaveri

The European Physical Journal DMay 1, 20137 citations

Generalized coherent states for the harmonic oscillator by the J-matrix method with an extension to the Morse potential

Hashim A. Yamani, Zouhaı̈r Mouayn

While dealing with the J-Matrix method for the harmonic oscillator to write down its tridiagonal matrix representation in an orthonormal basis of L2(R); we rederive a set of generalized coherent states (GCS) of Perelomov type labeled by points z of the complex plane C and depending on a positive integer number m The number states expansion of these GCS gives rise to coefficients that are complex Hermite polynomials whose linear superpositions provide eigenfunctions for the two-dimensional magnetic Laplacian associated with the mth Landau level. We extend this procedure to the Morse oscillator by constructing a new set of GCS of Glauber type.While dealing with the J-Matrix method for the harmonic oscillator to write down its tridiagonal matrix representation in an orthonormal basis of L2(R); we rederive a set of generalized coherent states (GCS) of Perelomov type labeled by points z of the complex plane C and depending on a positive integer number m The number states expansion of these GCS gives rise to coefficients that are complex Hermite polynomials whose linear superpositions provide eigenfunctions for the two-dimensional magnetic Laplacian associated with the mth Landau level. We extend this procedure to the Morse oscillator by constructing a new set of GCS of Glauber type.

arXiv:2412.02958Dec 4, 20240 citations

Gazeau–Klauder coherent state for the Morse potential and some of its properties

Barnana Roy, Pinaki Roy

Physics Letters AApr 1, 200250 citations

Generalized coherent states for the harmonic oscillator by the J -matrix method with an extension to the Morse potential

Hashim A. Yamani, Zouhaı̈r Mouayn

While dealing with the J -matrix method for the harmonic oscillator to write down its tridiagonal matrix representation in an orthonormal basis of L 2 ( R ) , we rederive a set of generalized coherent states (GCS) of Perelomov type labelled by points z of the complex plane C and depending on an integer number m ∈ Z + . The number states expansion of these GCS gives rise to coefficients that are complex Hermite polynomials and whose linear superpositions provide eigenfunctions for the two-dimensional magnetic Laplacian, associated with the m th Landau level. We further generalize this construction to the Morse oscillator by introducing a new set of Glauber-type GCS.While dealing with the J -matrix method for the harmonic oscillator to write down its tridiagonal matrix representation in an orthonormal basis of L 2 ( R ) , we rederive a set of generalized coherent states (GCS) of Perelomov type labelled by points z of the complex plane C and depending on an integer number m ∈ Z + . The number states expansion of these GCS gives rise to coefficients that are complex Hermite polynomials and whose linear superpositions provide eigenfunctions for the two-dimensional magnetic Laplacian, associated with the m th Landau level. We further generalize this construction to the Morse oscillator by introducing a new set of Glauber-type GCS.

Proceedings of the Royal Society A Mathematical Physical and Engineering SciencesAug 1, 20251 citation

Diagonal Representation of Density Matrix Using q-Coherent States

R. Parthasarathy, R. Sridhar

A q-analogue of the diagonal representation of the density matrix is derived using q-boson coherent states. The q-generalization of the self-reproducing property of ρ(z ,z ) and a self consistent self-reproducing kernel K(z ,z ) are obtained. Some applications to non-linear issues in optics are indicated

Presented atJan 1, 20031 citation

Statistical properties of Klauder-Perelomov coherent states for the Morse potential

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Statistical properties of Klauder-Perelomov coherent states for the Morse potential

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