Universal Journal of Physics and Application Vol. 8(1), pp. 36 - 41
DOI: 10.13189/ujpa.2014.020107
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Darboux Transformation in the Tangent-Squared Potential and Supersymmetry


J. Sadeghi 1,*, A. Pourdarvish 2, M.Rostami 2
1 Department of Physics, Islamic Azad University - Ayatollah Amoli Branch,P.O.Box 678, Amol, Iran
2 Department of Statistics, Mazandaran University, Babolsar, Iran

ABSTRACT

In this paper, we consider one-dimensional Schrodinger equation for the trigonometric tangent-squared potential. Here, we construct the first-order Darboux transformation and the real valued condition of transformed potential for trigonometric tangent-squared potential equation. Also we obtain the transformed of potential and wave function. Finally, we discuss the correspondence between Darboux transformation and supersymmetry. In order to have supersymmetry and commutative and anticommutative algebra, we obtain some condition for the corresponding equation.

KEYWORDS
Trigonometric Tangent-Squared Potential, Darboux Transformation, First Order Operators, Supersymmetry

Cite this paper
J. Sadeghi , A. Pourdarvish , M.Rostami . "Darboux Transformation in the Tangent-Squared Potential and Supersymmetry." Universal Journal of Physics and Application 8.1 (2014) 36 - 41. doi: 10.13189/ujpa.2014.020107.