Solution of Effective-Mass Dirac Equation with Scalar-Vector and Pseudoscalar Terms for Generalized Hulthén Potential

Arda, Altuğ

doi:10.1155/2017/6340409

Cited by 4 publications

(2 citation statements)

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“…Comparing equation (47)with (37) and using the results given in the equation (41) and (42),it is not difficult to find the equation obeyed byeigenvalues and eigenfunctions and they can be given respectively In this section, we we are interested in considering the Hulthé n potential that describe the interaction between two atoms and has been used in different areas of physics and attracted a great of interest for some decades [81,82,93]. Next we take the interaction function f(ρ) being Hulthé n-Type potential…”

Section: Case 1 ( ) Being Yukawa Potentialmentioning

confidence: 99%

“…In this section, we we are interested in considering the Hulthé n potential that describe the interaction between two atoms and has been used in different areas of physics and attracted a great of interest for some decades [81,82,93]. Next we take the interaction function f(ρ) being Hulthé n-Type potential…”

Section: Case 2𝐟(𝛒) Being Hulthé N-type Potentialmentioning

confidence: 99%

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Generalized Dirac Oscillator in Cosmic String Space-Time

Deng

Long

et al. 2018

Advances in High Energy Physics

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In this work, the generalized Dirac oscillator in cosmic string space-time is studied by replacing the momentum p μ with its alternative p μ + mωβf μ (x μ ). In particular, the quantum dynamics is considered for the function f μ (x μ ) to be taken as cornell potential, exponential-type potentialand singular potential. For cornell potential and exponential-type potential, the corresponding radial equations can be mapped into the confluent hypergeometric equation and hypergeometric equation separately. The corresponding eigenfunctions can be represented as confluent hypergeometric function and hypergeometric function.The equations satisfed by the exact energy spectrum have been found. For singular potential, the wave function and energy eigenvalue are given exactly by power series method.

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Section: Case 1 ( ) Being Yukawa Potentialmentioning

confidence: 99%

Section: Case 2𝐟(𝛒) Being Hulthé N-type Potentialmentioning

confidence: 99%

Generalized Dirac Oscillator in Cosmic String Space-Time

Deng

Long

et al. 2018

Advances in High Energy Physics

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Energy Power Series Analysis of the Bound States of the One-dimensional Dirac Equation

Barrera-Figueroa

2023

J. Phys.: Conf. Ser.

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In this work we consider the one-dimensional Dirac equation including an electrostatic potential with compact support, and focus on the regime of bound states. We obtain exact expressions for both the characteristic function and the eigenfunctions in L 2 (ℝ, ℂ2), given in the form of power series of the energy parameter. This approach is meant for arbitrary bounded potentials, so that a square potential is a special case of the theory here presented. We derive an efficient numerical method for the calculation of approximate eigen-energies of the bound states. Finally, we investigate the physical sense of the eigen-energies that are forbidden in the non-relativistic regime in terms of the Klein tunneling.

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