Energy spectra and wave function of trigonometric Rosen-Morse potential as an effective quantum chromodynamics potential in D-dimensions

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U.A. Deta, Suparmi, Cari, A.S. Husein, H. Yuliani, I.K.A. Khaled, H. Luqman, Supriyanto

2014 AIP Conference Proceedings Vol. 1615 Conference paper Cited by 9

Abstract

The Energy Spectra and Wave Function of Schrodinger equation in D-Dimensions for trigonometric Rosen-Morse potential were investigated analitically using Nikiforov-Uvarov method. This potential captures the essential traits of the quark-gluon dynamics of Quantum Chromodynamics. The approximate energy spectra are given in the close form and the corresponding approximate wave function for arbitary l-state (l ? 0) in D-dimensions are formulated in the form of diferential polynomials. The wave function of this potential unnormalizable for general case. The wave function of this potential unnormalizable for general case. The existence of extra dimensions (centrifugal factor) and this potential increase the energy spectra of system. © 2014 AIP Publishing LLC.

Affiliations

Theoretical Physics Group, Physics Department of Post Graduate Program, Sebelas Maret University, Jl. Ir. Sutami 36A, Surakarta, 57126, Indonesia; Physics Department, State University of Surabaya, Jl. Ketintang, Surabaya, 60231, Indonesia