Approximate Solutions of D-Dimensional Klein-Gordon Equation with modified Hylleraas Potential

The Shannon entropy (S) and the Fisher Information (I) entropies are investigated for a generalized hyperbolic potential in position and momentum spaces. First, the Schrodinger equation is solved exactly using the Nikiforov-Uvarov-Functional Analysis method to obtain the energy spectra and the corresponding wave function. By Fourier transforming the position space wave function, the corresponding momentum wave function was obtained for the low-lying states corresponding to the ground and first excited states. The positions and momentum of Shannon entropy and Fisher Information entropies were calculated numerically. Finally, the Bialynicki-Birula and Mycielski and the Stam-Cramer-Rao inequalities for the Shannon entropy and Fisher Information entropies, respectively, were tested and were found to be satisfied for all cases considered.

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“…The energy levels and the corresponding wave function are obtained using Equations (17) and (18) as follows,…”

Section: Review Of Nufa Methodsmentioning

confidence: 99%

Theoretic quantum information entropies for the generalized hyperbolic potential

Ikot

Rampho

Amadi

et al. 2020

Int J of Quantum Chemistry

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“…Saad et al studied the KG equation in the presence of scalar and vector potential in arbitrary dimensions and showed that if the both potentials were Coulombic, irrespective of whether they were equal to each other equal or not, the analytic solutions could be obtained [11]. Momtazi [13] and later investigated the modified Hylleraas potential with position dependent mass in D-dimensions [14]. In 2014, Ikot et al obtained the scattering and the bound state solutions of the one-dimensional KG equation with equal vector and scalar qparameter hyperbolic Pöschl-Teller potential energy [15].…”

Section: Introductionmentioning

confidence: 99%

Analytical solution of the Klein Gordon equation with a multi-parameter q-deformed Woods-Saxon type potential

et al. 2018

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In this manuscript, we present analytical solution of the Klein-Gordon equation with the multiparameter q-deformed Woods-Saxon type potential energy under the spin symmetric limit in (1+1) dimension. In the scattering case, we obtain the reflection and transmission probabilities and prove the conservation of the total probability. Moreover, we analyze the correlation between the potential parameters with the reflection and transmission probabilities. In the bound state case, we use the continuity conditions and derive a quantization scheme. To confirm our results numerically, in both cases we randomly assign values to the potential parameters and find numerical results by using the Newton Raphson method.

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“…have great importance in atomic and molecular physics and have attracted much attention and interest since the early development of quantum mechanics till today [1][2][3][4][5][6][7][8][9][10][11][12][13]. In nuclear and high energy physics, one of the interesting problems is to obtain exact solution of the Klein-Gordon and Dirac equations.…”

Section: Introductionmentioning

confidence: 99%

Relativistic Treatment of Massive Klein-Gordon Particle by Modified Generalized Hulthen Potential

Antia¹,

Essien²,

Atat³

2017

JMSS

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Approximate bound state solutions of spinless particles with a special case of equal scalar and vector modified generalized Hulthen potential has been obtained under the massive Klein-Gordon equation. The energy eigenvalues and the corresponding wave functions expressed in terms of a Jacobi polynomial are also obtained using the parametric generalization of the Nikiforov-Uvarov (NU) method. Under limiting cases our result are in agreement with the existing literature. Our results could be used to study the interactions and binding energies of the central potential for diatomic molecules in the relativistic framework which have many applications in physics and some others related disciplines.

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Approximate Solutions of D-Dimensional Klein-Gordon Equation with modified Hylleraas Potential

Cited by 20 publications

References 26 publications

Theoretic quantum information entropies for the generalized hyperbolic potential

Theoretic quantum information entropies for the generalized hyperbolic potential

Analytical solution of the Klein Gordon equation with a multi-parameter q-deformed Woods-Saxon type potential

Relativistic Treatment of Massive Klein-Gordon Particle by Modified Generalized Hulthen Potential

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