Bound State Solution of the Klein-Gordon Equation for Modified Echart plus Inverse Square Molecular Potential with an Improved New Approximation Scheme to the Centrifugal Term

Equatorial Journal of Computational and Theoretical Science,Vol. 1(1), p. 55-64, 2016

10 Pages Posted: 4 Oct 2016

See all articles by B. I. Ita

B. I. Ita

University of Calabar (UNICAL)

Nyong B. E.

Cross River University of Technology (CRUTECH)

Alobi N. O.

Cross River University of Technology (CRUTECH)

H. Louis

University of Calabar (UNICAL)

Magu Thomas Odey

University of Calabar (UNICAL)

Date Written: October 2, 2016

Abstract

In this research work, the Klein-Gordon equation for Modified Eckart plus Inverse square potentials using the generalized parametric form of Nikiforov-Uvarov method was studied. Energy eigenvalues and the corresponding unnormalized wave function expressed in terms of Jacobi polynomial was obtained. It was discovered that the two special cases of this potential comprises of the Eckart potential and the Inverse Square potential.

Keywords: Parametric Nikiforov-Uvarov Method, New Approximation Scheme, Eckart, plus Inverse Square Potential

Suggested Citation

Ita, B. I. and B. E., Nyong and N. O., Alobi and Louis, H. and Odey, Magu Thomas, Bound State Solution of the Klein-Gordon Equation for Modified Echart plus Inverse Square Molecular Potential with an Improved New Approximation Scheme to the Centrifugal Term (October 2, 2016). Equatorial Journal of Computational and Theoretical Science,Vol. 1(1), p. 55-64, 2016 . Available at SSRN: https://ssrn.com/abstract=2846862

B. I. Ita

University of Calabar (UNICAL) ( email )

PMB 1115
Faculty of Social Sciences
Calabar, AK Cross River State 540402
Nigeria

Nyong B. E.

Cross River University of Technology (CRUTECH) ( email )

P.M.B 1123
Calabar,
Cross River State
Nigeria

Alobi N. O.

Cross River University of Technology (CRUTECH) ( email )

P.M.B 1123
Calabar,
Cross River State
Nigeria

H. Louis

University of Calabar (UNICAL) ( email )

PMB 1115
Faculty of Social Sciences
Calabar, AK Cross River State 540402
Nigeria

Magu Thomas Odey (Contact Author)

University of Calabar (UNICAL)

PMB 1115
Faculty of Social Sciences
Calabar, AK Cross River State 540402
Nigeria

Here is the Coronavirus
related research on SSRN

Paper statistics

Downloads
14
Abstract Views
97
PlumX Metrics