Analysis of N-dimensional Klein–Gordon equation for hydrogen molecule in the non-central potential field

Özfidan, Aysel; Durmus, Ayşen

doi:10.1016/j.aop.2018.07.033

Cited by 5 publications

(2 citation statements)

References 44 publications

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“…In previous works [43,44], we have presented the theoretical framework of the N-dimensional radial Klein-Gordon equation in detail.…”

Section: Bound-state Solutions Of the Inverse Trigonometric Scarf Plu...mentioning

confidence: 99%

Analysis of quantum systems subject to inverse trigonometry Scarf plus Coulomb potential in N-dimensions

Özfidan

2023

Phys. Scr.

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We present approximate solutions of the N-dimensional Klein–Gordon equation in the presence of a superposition of inverse trigonometry Scarf potential and Coulomb potential through asymptotic iteration approach. With the purpose of dealing with the l N − 1 -state, we use Greene-Aldrich approximation which is valid for the small values of the screening parameter. The analytical expressions for the relativistic energy eigenvalues and the corresponding eigenfunctions are established in hyperspherical coordinates. The normalized hyper-radial wavefunction is expressed in terms of hypergeometric and Jacobi polynomials. We analyze the dependences of the relativistic energy levels on the dimensions. We also discuss the effect of the screening parameter on the relativistic energy spectrum. The expectation values of inverse position r − 1 , the square of inverse position r − 2 , kinetic energy T and square of momentum p 2 in N-dimensional space are reported using the Hellmann-Feynmann theorem. Discussing the special cases of the relevant potential, we show the accuracy of our results.

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“…In previous works [43,44], we have presented the theoretical framework of the N-dimensional radial Klein-Gordon equation in detail.…”

Section: Bound-state Solutions Of the Inverse Trigonometric Scarf Plu...mentioning

confidence: 99%

Analysis of quantum systems subject to inverse trigonometry Scarf plus Coulomb potential in N-dimensions

Özfidan

2023

Phys. Scr.

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“…In this context, N ‐dimensional Klein–Gordon solutions of noncentral Hartmann potential in hyperspherical coordinates were analytically obtained by using AIM, and H 2 application was executed. [ 18 ] There are their atomic applications as well as noncentral potentials' molecular applications. The nonrelativistic solutions of hydrogenic atoms under the influence of Hulthen plus a ring shaped potential were brought out within the finite different approach, and after the related persistent currents and magnetizations were examined, [ 19 ] which is remarkable because it explains the confinement effects on current‐magnetization observables of hydrogenic atoms and is an application of noncentral potential.…”

Section: Introductionmentioning

confidence: 99%

Charge‐Current Output in Plasma‐Immersed Hydrogen Atom with Noncentral Interaction

Bahar

2021

Annalen der Physik

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A theoretical investigation on the charge‐currents and induced magnetizations of hydrogen atoms with noncentral interaction, immersed in a plasma environment, under the influence of spherical encompassing is performed. The Hartmann potential for noncentral interaction is considered, but it is modified due to the plasma‐embedded hydrogen atom. The interactions in plasma are delineated by keeping in view the more general exponential cosine screened Coulomb (MGECSC) potential which reproduces more general and detailed outcomes. The shielding effect of the plasma environment is regarded by modifying the Hartmann potential through the MGECSC potential. Thus, the hydrogen atom is considered to be under the influence of the plasma modified Hartmann (PMH) potential. While the numerical tridiagonal matrix method (TMM) is employed due to the difficulty of analytical solution to the radial wave equation in nonrelativistic scheme including PMH potential, a hybrid solution technique is preferred by using asymptotic iteration method (AIM) to solve the angular wave equation. This study provides a detailed analysis of the plasma shielding, spherical confinement, and noncentral effect on the production and control of charge‐currents and induced magnetizations. In this analysis, the altenativeness to each other of the plasma environment, spherical encompassing, and noncentral effect is also evaluated, and suggestions are made for related application studies.

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Solutions of Klein–Gordon and Dirac Equations for Non-pure Dipole Potential in 2D Systems

2020

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Analysis of N-dimensional Klein–Gordon equation for hydrogen molecule in the non-central potential field

Cited by 5 publications

References 44 publications

Analysis of quantum systems subject to inverse trigonometry Scarf plus Coulomb potential in N-dimensions

Analysis of quantum systems subject to inverse trigonometry Scarf plus Coulomb potential in N-dimensions

Charge‐Current Output in Plasma‐Immersed Hydrogen Atom with Noncentral Interaction

Solutions of Klein–Gordon and Dirac Equations for Non-pure Dipole Potential in 2D Systems

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