Supersymmetry Quantum Mechanics and Exact Solutions of the Effective Mass of Schrodinger Equations with Rosen-Morse Potential

R.Amiri

Supersymmetry Quantum Mechanics and Exact Solutions of the Effective Mass of Schrodinger Equations with Rosen-Morse Potential

R.Amiri * §

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§ Islamic Azad University

Supersymmetry Quantum Mechanics and Exact Solutions of the Effective Mass of Schrodinger Equations with Rosen-Morse Potential

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Abstract

In quantum mechanics a localized attractive potential typically supports a (possibly infinite) set of bound states, characterized by a discrete spectrum of allowed energies, together with a continuum of scattering states, characterized (in one dimension) by energy-dependent phase shift. The Morse potential named after physicist Philip M.Morse, is a convenient model for the potential energy of a diatomic molecule. It is a better approximation for the vibrational structure of the molecule than the quantum harmonic oscillator because it explicitly includes the effects of bond breaking such as the existence of unbound states. It also accounts for the anharmonicity of real bonds and the non-zero transition probability for overtone and combination bands. The Morse potential can also be used to model other interactions such as the interaction between an atom and a surface. We here make the case that the trigonometric Rosen-Morse potential is exactly soluble in terms of a family of real orthogonal polynomials and present the solutions. and analytical solutions of the Klein-Gordon equation for the Rosen-Morse potential with equal scalar and vector potentials are studied in this paper.

References

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

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How to Cite This Article

R.Amiri. 2014. "Supersymmetry Quantum Mechanics and Exact Solutions of the Effective Mass of Schrodinger Equations with Rosen-Morse Potential". Global Journal of Science Frontier Research - A: Physics & Space Science GJSFR-A Volume 14 (GJSFR Volume 14 Issue 29 (A5)).

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GJSFR Volume 14 Issue 29 (A5)

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

Eckart Potential Morse-Rosen Potential Schrodinger Eqation Supersymmetry

Classification

GJSFR-A Classification FOR Code: 020699

Submission ReceivedAugust 13, 2014
Peer Review Double Blind
Handling Editor
Accepted September 5, 2014
Published July 28, 2014

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v1.2

Issue date

July 28, 2014

Language

English

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Total Score: 82

Country: Iran

Subject: Global Journal of Science Frontier Research - A: Physics & Space Science

Authors: R.Amiri, M.Tavakkoli (PhD/Dr. count: 0)

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