Determination of the Minimum Uncertainty States for a Rosen-Morse Potential by Using the Canonical Transformation of the Hamiltonian of the System

W.R. Mohsen

doi:10.30526/18.4.4402

Determination of the Minimum Uncertainty States for a Rosen-Morse Potential by Using the Canonical Transformation of the Hamiltonian of the System

Authors

W.R. Mohsen Department of Physics, College of Education, Ibn Al-Haitham, University of Baghdad https://orcid.org/0009-0009-0554-9987

DOI:

https://doi.org/10.30526/18.4.4402

Keywords:

Minimum Uncertainty States

Abstract

The wave functions of the minimum uncertainty states for a one- dimensional Rosen-Morse potential are obtained via exploiting Nieto's formalism for the construction of minimum uncertainty coherent states for different one-dimensional potentials and by using a canonical transformation of the Hamiltonian of the problem into a new Hamiltonian which is chosen so that it looks like a harmonic oscillator the mathematical derivations of the Nieto's procedures are presented.

Author Biography

W.R. Mohsen, Department of Physics, College of Education, Ibn Al-Haitham, University of Baghdad

Department of Physics, College of Education, Ibn Al-Haitham, University of Baghdad

Published

20-Oct-2005

Issue

Vol. 18 No. 4 (2005)

Section

Physics

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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How to Cite

[1]

W.R. Mohsen 2005. Determination of the Minimum Uncertainty States for a Rosen-Morse Potential by Using the Canonical Transformation of the Hamiltonian of the System. Ibn AL-Haitham Journal For Pure and Applied Sciences. 18, 4 (Oct. 2005). DOI:https://doi.org/10.30526/18.4.4402.