Analytical Solutions of the Dirac Equation with Effective Tensor Potential

Onate, C. A.; Adebimpe, Olukayode; Lukman, Adewale F.; Okoro, J. O.; Olowayemi, M. O.

doi:10.3938/jkps.74.205

Cited by 3 publications

(2 citation statements)

References 38 publications

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“…In terms of the superpotential function given in Equation ), we can construct the two partner potentials [18–22] in supersymmetric quantum mechanics in the following forms:

V_{+} ((), t) = W^{2} ((), t) + \frac{italicdW ((), t)}{dt} = \frac{2 {mc}^{2} ((), η - 4 D_{e} - {cp}_{n})}{{normalh}^{2}} + \frac{\frac{2 {mc}^{2} D_{e} t_{e}^{2}}{{normalh}^{2}} ρ_{1}^{2}}{t} + \frac{ρ_{1} ((), ρ_{1} - 1)}{t^{2}},

V_{-} ((), t) = W^{2} ((), t) - \frac{italicdW ((), t)}{dt} = \frac{2 {mc}^{2} ((), η - 4 D_{e} - {cp}_{n})}{{normalh}^{2}} + \frac{\frac{2 {mc}^{2} D_{e} t_{e}^{2}}{{normalh}^{2}} ρ_{1}^{2}}{t} + \frac{ρ_{1} ((), ρ_{1} + 1)}{t^{2}} .

…”

Section: Solutions Of Feinberg–horodecki Equationmentioning

confidence: 99%

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Fisher information of a vector potential for time‐dependent Feinberg–Horodecki equation

Onate

Onyeaju

2020

Int J of Quantum Chemistry

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The time‐dependent Feinberg–Horodecki equation in the presence of a special Mie‐type pseudoharmonic potential was solved and the quantized momentum with the corresponding wave functions were obtained with the supersymmetric approach. The Fisher information for both the time and the momentum space were calculated via expectation values of time and momentum. The effect of the dissociation energy, the equilibrium time point and the quantum number respectively on the Fisher information were studied in detail. The result was applied to five molecules. The results obtained for the time‐dependent Feinberg–Horodecki equation followed the trend of the results obtained for the time‐independent Schrödinger equation.

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“…In terms of the superpotential function given in Equation ), we can construct the two partner potentials [18–22] in supersymmetric quantum mechanics in the following forms:

V_{+} ((), t) = W^{2} ((), t) + \frac{italicdW ((), t)}{dt} = \frac{2 {mc}^{2} ((), η - 4 D_{e} - {cp}_{n})}{{normalh}^{2}} + \frac{\frac{2 {mc}^{2} D_{e} t_{e}^{2}}{{normalh}^{2}} ρ_{1}^{2}}{t} + \frac{ρ_{1} ((), ρ_{1} - 1)}{t^{2}},

V_{-} ((), t) = W^{2} ((), t) - \frac{italicdW ((), t)}{dt} = \frac{2 {mc}^{2} ((), η - 4 D_{e} - {cp}_{n})}{{normalh}^{2}} + \frac{\frac{2 {mc}^{2} D_{e} t_{e}^{2}}{{normalh}^{2}} ρ_{1}^{2}}{t} + \frac{ρ_{1} ((), ρ_{1} + 1)}{t^{2}} .

…”

Section: Solutions Of Feinberg–horodecki Equationmentioning

confidence: 99%

“…In terms of the superpotential function given in Equation ( 6), we can construct the two partner potentials [18][19][20][21][22] in supersymmetric quantum mechanics in the following forms:…”

Section: Solutions Of Feinberg-horodecki Equationmentioning

confidence: 99%

Fisher information of a vector potential for time‐dependent Feinberg–Horodecki equation

Onate

Onyeaju

2020

Int J of Quantum Chemistry

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Spin and pseudospin symmetries of the Dirac equation for the generalised Morse potential and a class of Yukawa potential

et al. 2021

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Noncommutative Dirac and Schrödinger equations in the background of the new generalized Morse potential and a class of Yukawa potential with the improved Coulomb-like tensor potential as a tensor in 3D-ERQM and 3D-ENRQM symmetries

Maireche

2023

Int. J. Geom. Methods Mod. Phys.

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Relativistic and nonrelativistic quantum mechanics formulated in a noncommutative space–space have recently become the object of renewed interest. In the context of three-dimensional extended relativistic quantum mechanics (3D-ERQM) symmetries with arbitrary spin-orbit coupling quantum number [Formula: see text], we approximate to solve the deformed Dirac equation for a new suggested new generalized Morse potential and a class of Yukawa potential including improved Coulomb-like tensor interaction (N(GMP-CYP) plus ICLTI). In the framework of the spin and pseudospin (p-spin) symmetry, we obtain the global new energy eigenvalue which equals the energy eigenvalue in the usual relativistic QM as the main part plus three corrected parts produced from the effect of the spin-orbit interaction, the new modified Zeeman, and the rotational Fermi term, by using the parametric of the well-known Bopp’s shift method and standard perturbation theory using Greene–Aldrich approximation to nonlinear and exponential terms in the effective potential. The new values that we got appeared sensitive to the quantum numbers ([Formula: see text]), the mixed potential depths ([Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text]), the range of the potential [Formula: see text] and noncommutativity parameters ([Formula: see text],[Formula: see text],[Formula: see text]). We have studied the nonrelativistic limit of new spin symmetry under the N(GMP-ICYP) model, we will also treat some important special cases such as the new generalized Morse potential, the new class of Yukawa potential, the new Hellmann potential, the new inversely quadratic Yukawa potential, the new Hulthén potential and new Coulomb potential. Finally, we studied a case of composite systems.

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Analytical Solutions of the Dirac Equation with Effective Tensor Potential

Cited by 3 publications

References 38 publications

Fisher information of a vector potential for time‐dependent Feinberg–Horodecki equation

Fisher information of a vector potential for time‐dependent Feinberg–Horodecki equation

Spin and pseudospin symmetries of the Dirac equation for the generalised Morse potential and a class of Yukawa potential

Noncommutative Dirac and Schrödinger equations in the background of the new generalized Morse potential and a class of Yukawa potential with the improved Coulomb-like tensor potential as a tensor in 3D-ERQM and 3D-ENRQM symmetries

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