Analysis of Energy Spectrum and Wave Function of Modified Poschl Teller Potential Using Hypergeometry and Supersymmetry Method

Fuzi Marati Solikhah, Suparmi Suparmi, Viska Inda Variani

Abstract


Modified Poschl Teller potential is a potential model used to describe behavior of inter moleculer forces. The spectrum energy and wave function of the particle affection in modified Poschl Teller potential are obtained by solving the Schrodinger equation, using hypergeometric equation and supersymmetric method. The energy spectrum and wave function are obtained from hypergeometric equation, which is constructed from Schrodinger equation through variable substitution. The energy spectrum and wave function are obtained using raising and lowering supersymmetric operator and applying shape invariance property. The solution of those equation of the energy spectrum and wave function obtained using these two methods are exact solution. Further, the wave function and density probability are visualized using computer simulation.

Keywords


energy spectrum; wave function; Modified Poschl Teller; hypergeometric; supersymmetric

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References


D. Donald, Principles Of Quantum Mechanics, Cambridge, University Press, 2002.

S. Trachanas, Quantum Mechanical Potentials Exactly Solvable In Term Of Higher Hypergeometric Function I : The third-order Case, (FROTH) and Department Of Physics, University of Crete, Crete, Greece, 2011.

A. N. Ikot, Awoga, L. E. Akpabio, and B. Ita, Solution of Schrodinger Equation with Generalized inverted Hyperbolic Potensial, Department of Physics, University of Uyo, Nigeria, 2005.

J. S. Dehesa and Sokorin, Information-theoretic measure for Morse and Poschl-Teller potentials, Department of Physics, Granada University, Spain, (1-3), 2005.

A. N. Ikot and Akpabio, Applied Physics Research, Approximate Solution of the Schrodinger Equation with Rosen Morse Potensial Including the Centrifugal, Term, Vol 2, No 2, Department of Physics, University of Uyo, Nigeria, 2010 .

M. Dine, Supersymmetry And String Theory Beyond the Standart Model, Cambridge University Press, Ukraina, 2007.

C. Benjamin, C. Jasso, and M. kirbhbach, The Trigonometric Rosen Morse Potential as a Prime Candidate For an Effectif QDC Potential, Autonomous University, Mexico, 2005.

S. Meyur, Electronic Journal of Theoritical Physics, Algebraic Aspects for Two Solvable Potentials, EJPT 25 271-224, Bengal, India, 2011.

Wahana Komputer, Pemrograman Borland Delphi 7.0, Andi Offset, Yogyakarta, 2003.

H. P. William, T. A. Saul, and V.T. William, Numerical Receipes the Art of Scientific Computing, Cambridge University press, 2007.




DOI: http://dx.doi.org/10.12962/j20882033.v23i1.15

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