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Determine the Eigen Function of Schrodinger Equation with Non….pdf

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Determine the Eigen Function of Schrodinger Equation with Non…

Applied Mathematics , 2011, 2, 999-1004 doi:10.4236/am.2011.28138 Published Online August 2011 (http://www.SciRP.org/journal/am) Determine the Eigen Function of Schrodinger Equation with Non-Central Potential by Using NU Method Hamdollah Salehi Department of Physics, Shahid Chamran University, Ahvaz, Iran E-mail : salehi_h@scu.ac.ir Received April 11, 2011; revised June 21, 2011; accepted June 28, 2011 Abstract So far, Schrodinger equation with central potential has been solved in different methods but solving this equation with non-central potentials is less dealt with. Solving such equations are way more difficult and complicated and a certain and limited number of non-central potentials can be solved. In this paper, we in- troduce one of the solvable kinds of such potentials and we will use NU method for solving Schrodinger equation and then by using this method we have calculated particular figures of its energy and function. Keywords: Schrodinger Equation (SE), Non-Central Potentials, NU Method, Central Potential 1. Introduction D cot2  A B   V r,     2 2 r r r One of the important tasks of quantum mechanic is find-