Spinless relativistic particle in energy-dependent potential and normalization of the wave function

Benchikha, A.; Chétouani, L.

doi:10.2478/s11534-014-0457-8

Cited by 4 publications

(4 citation statements)

References 15 publications

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“…C. The normalization of the radial wave function with energy dependent potential energies A. Benchikha et al examined the energy dependent potential energy in non-relativistic [94] and relativistic [95] equations. They modified the well-known probability density definition for the KG equation with the following expression…”

Section: B Quantizationmentioning

confidence: 99%

“…Our motivation is to determine the bound state solution of the energy-dependent deformed Hulthén potential in D-dimensional KG equation and discuss the corresponding thermodynamic functions. Note that the energy-dependent potential energies have been investigated in both relativistic and non-relativistic wave equations since 1940 [89][90][91][92][93][94][95]. In recent times, Gupta et al studied the Schrödinger equation with energy dependent harmonic oscillator potential energy function to describe quark systems [96].…”

Section: Introductionmentioning

confidence: 99%

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A Statistical Mechanical Analysis on the Bound State Solution of an Energy-Dependent Deformed Hulthén Potential Energy*

Lütfüoğlu¹,

Ikot²,

Okorie³

et al. 2019

Commun. Theor. Phys.

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In this article, we investigate the bound state solution of the Klein Gordon equation under mixed vector and scalar coupling of an energy-dependent deformed Hulthén potential in D-dimensions.We obtain a transcendental equation after we impose the boundary conditions. We calculate energy spectra in four different limits and in arbitrary dimension via the Newton-Raphson method. Then, we use a statistical method, namely canonical partition function, and discuss the thermodynamic properties of the system in a comprehensive way. We find out that some of the thermodynamic properties overlap with each other, some of them do not.

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Section: B Quantizationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Statistical Mechanical Analysis on the Bound State Solution of an Energy-Dependent Deformed Hulthén Potential Energy*

Lütfüoğlu¹,

Ikot²,

Okorie³

et al. 2019

Commun. Theor. Phys.

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“…On the other hand, energy-dependent potential (EDP) energies are being used to describe the physical systems for a while [25][26][27]. In recent times, the number of studies on the solutions of EDP energies in both relativistic and non-relativistic wave equations is increased [28][29][30][31][32][33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Bound state solutions of the Klein Gordon equation with energy-dependent potentials

Lütfüoğlu,

Ikot,

Karakoc

et al. 2019

Preprint

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In this manuscript, we investigate the exact bound state solution of the Klein Gordon equation with an energy-dependent Coulomb-like potential energy in the presence of position-energy dependent mass. First, we examine the case where the mixed vector and scalar potential energy possess equal magnitude and equal sign. Then, we extend the investigation with the cases where the mixed potential energies have equal magnitude and opposite sign. Furthermore, we study pure scalar and pure vector cases. In each case, we derive an analytic expression of the energy spectrum by employing the asymptotic iteration method. We obtain a non-trivial relation between the tuning parameters which lead the examined problem to a constant mass one. Finally, we employ the Secant method to calculate the energy spectra. We use the calculated spectra and show that the unnormalized wave functions satisfy the boundary conditions. We conclude the manuscript with a comparison of the calculated energy spectra versus tuning parameters.

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“…In order to describe the subbarrier fusion cross-section of diverse systems, the Woods-Saxon potential having energy dependency has been used in a recent paper [11]. Moreover, various authors have recently proposed and/or used energy-dependent potentials to investigate different physical systems and physical concepts [12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Spin (Pseudospin) doublet in view of energy-dependent potential

Saltı¹,

Aydoğdu²

2017

Turk J Phys

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Abstract:Behavior of Dirac particles in the presence of scalar, vector, and tensor potentials respectively represented by energy-dependent Morse and Coulomb-like potentials is examined by working out the Dirac equation under the condition of spin (pseudospin) symmetry. The closed form of the energy eigenvalue equation and corresponding wave functions in terms of hypergeometric functions are acquired by making use of the asymptotic iteration method. We investigate the effect of energy-dependent potential on both bound states and energy splitting between members of spin (pseudospin) doublets.

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Spinless relativistic particle in energy-dependent potential and normalization of the wave function

Cited by 4 publications

References 15 publications

A Statistical Mechanical Analysis on the Bound State Solution of an Energy-Dependent Deformed Hulthén Potential Energy*

A Statistical Mechanical Analysis on the Bound State Solution of an Energy-Dependent Deformed Hulthén Potential Energy*

Bound state solutions of the Klein Gordon equation with energy-dependent potentials

Spin (Pseudospin) doublet in view of energy-dependent potential

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