Approximate solutions of Schrödinger equation for Eckart potential with centrifugal term

doi:10.1088/1674-1056/19/9/090314

Abstract The approximate analytical solutions of the Schr?dinger equation for the Eckart potential are presented for the arbitrary angular momentum by using a new approximation of the centrifugal term. The energy eigenvalues and the corresponding wavefunctions are obtained for different values of screening parameter. The numerical examples are presented and the results are in good agreement with the values in the literature. Three special cases, i.e., s-wave, $\xi=\lambda=1$, and $\beta=0$, are investigated.

Keywords: Schrödinger equation Eckart potential bound state

Received: 14 January 2010
Accepted manuscript online:

PACS:	0365G
	0365C

Fund: Project supported by the Scientific and Technological Council of Turkey TUBITAK under the Integrated PhD Program fellowship.

Cite this article:

F. Tacskin and G. Koccak Approximate solutions of Schrödinger equation for Eckart potential with centrifugal term 2010 Chin. Phys. B 19 090314

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Approximate solutions of Schrödinger equation for Eckart potential with centrifugal term

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