Factorization Method and Solution of the Non-Central Modified Kratzer Potential

J. Sadeghi Sciences Faculty, Department of Physics, Mazandaran University, P.O. Box 47415-416, Babolsar, Iran

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Received: 2 07 2007;

In this paper, we consider the non-central modified Kratzer potential. We tried to connect the corresponding Schrödinger equation to the associated Laguerre and Jacobi equation. For this purpose the factorization information from associated function was employed to solve the corresponding equations. It leads us to have some raising and lowering operators which are first-order equations. These operators help us to obtain all quantum states and energy spectrum for different n and m. The obtained results show that the degeneracy of the second quantum number (m) is completely removed

DOI: 10.12693/APhysPolA.112.23 PACS numbers: 03.65.-w, 11.10.Lm; 11.30.Na; 12.39.St