TY - JOUR
T1 - Bound and scattering states solutions of the Klein–Gordon equation with generalized Mobius square potential in D-dimensions
AU - Okorie, Uduakobong S.
AU - Ikot, Akpan N.
AU - Edet, Collins O.
AU - Rampho, Gaotsiwe J.
AU - Horchani, Ridha
AU - Jelassi, Haikel
N1 - Publisher Copyright:
© 2021, The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2021/2
Y1 - 2021/2
N2 - Abstract: In this study, the Klein–Gordon equation (KGE) was solved with the generalized Mobius square (GMS) potential using the functional analysis approach (FAA) in D-dimensions. By employing the Pekeris-type approximation scheme, the relativistic and nonrelativistic bound state energies were obtained in closed form. Also, the expression for the scattering state phase shift of GMS potential was obtained in D-dimensions. The effects of the vibrational and rotational quantum number on the vibrational energies and the scattering state phase shift of nitrogen monoiodide (NI) diatomic molecule were studied numerically and graphically at different dimensions. An interesting result of this study is the inter-dimensional degeneracy symmetry for scattering phase shift of the NI diatomic molecule. Hence, this concept is applicable in the areas of chemical physics, nuclear and particle physics. Graphic abstract: In this study, the relativistic and nonrelativistic bound state energies of KGE with the GMS potential were obtained in D-dimensions using the FAA. In addition, the scattering state phase shift of GMS potential was obtained in D-dimensions. The effects of the vibrational and rotational quantum number on the vibrational energies and the scattering state phase shift of NI diatomic molecule were studied. The inter-dimensional degeneracy symmetry for scattering phase shift of the NI diatomic molecule was obtained at unique quantum states. Graphic Abstract: [Figure not available: see fulltext.].
AB - Abstract: In this study, the Klein–Gordon equation (KGE) was solved with the generalized Mobius square (GMS) potential using the functional analysis approach (FAA) in D-dimensions. By employing the Pekeris-type approximation scheme, the relativistic and nonrelativistic bound state energies were obtained in closed form. Also, the expression for the scattering state phase shift of GMS potential was obtained in D-dimensions. The effects of the vibrational and rotational quantum number on the vibrational energies and the scattering state phase shift of nitrogen monoiodide (NI) diatomic molecule were studied numerically and graphically at different dimensions. An interesting result of this study is the inter-dimensional degeneracy symmetry for scattering phase shift of the NI diatomic molecule. Hence, this concept is applicable in the areas of chemical physics, nuclear and particle physics. Graphic abstract: In this study, the relativistic and nonrelativistic bound state energies of KGE with the GMS potential were obtained in D-dimensions using the FAA. In addition, the scattering state phase shift of GMS potential was obtained in D-dimensions. The effects of the vibrational and rotational quantum number on the vibrational energies and the scattering state phase shift of NI diatomic molecule were studied. The inter-dimensional degeneracy symmetry for scattering phase shift of the NI diatomic molecule was obtained at unique quantum states. Graphic Abstract: [Figure not available: see fulltext.].
KW - Bound states
KW - Eigenfunctions
KW - Energy eigenvalues
KW - Generalized Mobius square potential
KW - Klein–Gordon equation
KW - Scattering phase shift
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U2 - 10.1140/epjd/s10053-021-00059-x
DO - 10.1140/epjd/s10053-021-00059-x
M3 - Article
AN - SCOPUS:85101020376
SN - 1434-6060
VL - 75
JO - European Physical Journal D
JF - European Physical Journal D
IS - 2
M1 - 53
ER -