Analytic Spin and Pseudospin Solutions to the Dirac Equation for the Manning-Rosen Plus Eckart Potential and Yukawa-Like Tensor Interaction

Louis, Hitler; Ita, B. I.; Amos, P. I.; Akakuru, Ozioma Udochukwu; Orosun, Muyiwa Michael; Nzeata-Ibe, N. A.; Philip, Mary

doi:10.30731/ijcps.7.1.2018.38-47

Cited by 4 publications

(2 citation statements)

References 8 publications

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“…The same problem for ℓ = 0 have been studied in Ref. [49,50] as well, but our outcome disagrees with the result therein. We arrange this paper as follows: In Sec.…”

Section: Introductioncontrasting

confidence: 87%

Arbitrary ℓ-state solutions of the Klein-Gordon equation with the Manning-Rosen plus a Class of Yukawa potentials

et al. 2020

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Focusing on an improved approximation scheme, we present how to treat the centrifugal and the Coulombic behavior terms and then to obtain the bound state solutions of the Klein-Gordon (KG) equation with the Manning-Rosen plus a Class of Yukawa potentials. By means of the Nikiforov-Uvarov (NU) and supersymmetric quantum mechanics (SUSYQM) methods, we present the energy spectrum for any ℓ-state and the corresponding radial wave functions in terms of the hypergeometric functions. From both methods we obtain the same results. Several special cases for the potentials which are useful for other physical systems are also discussed. These are consistent with those results in previous works. We obtain that the energy level E is sensitive to the potential parameter δ at fixed values of other parameters and increases when δ runs from 0.05 to 0.3. Furthermore, E is sensitive to the quantum numbers ℓ and n r for a given δ, as expected.

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“…The same problem for ℓ = 0 have been studied in Ref. [49,50] as well, but our outcome disagrees with the result therein. We arrange this paper as follows: In Sec.…”

Section: Introductioncontrasting

confidence: 87%

Arbitrary ℓ-state solutions of the Klein-Gordon equation with the Manning-Rosen plus a Class of Yukawa potentials

et al. 2020

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“…suggested that the strength of the angular momentum ( + 1) should be treated as an adjustable parameter K, not as a fixed quantity. Langer pointed out that K should be replaced with the term ( + regularizes the radial WKB wave function at the origin and ensure correct asymptotic behaviour at large quantum numbers [9][10][11][12][13][14][15][16][17] .…”

Section: (1)mentioning

confidence: 99%

Approximate l-States Solutions to the Schrodinger Equation with Manning-Rosen plus Hellmann Potential via WKB Approximation Scheme

et al. 2018

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The approximate analytical solutions of the radial Schrodinger equation have been obtained by the interaction of Manning-Rosen and Hellmann potentials which is a newly proposed potential. Using the Wentzel-Kramers-Brillouin WKB approach, we obtained the eigenstates solutions for any arbitrary angular momentum. Special cases of potential consideration have been discussed. Eigenenergy solutions to equations obtained play an important role in quantum mechanics because they contain a wealth of vital information regarding the system under consideration.

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The unified treatment of the non-relativistic bound state solutions, thermodynamic properties, and expectation values of exponential-type potentials

et al. 2020

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In this paper, we obtained the analytical N-dimensional bound state solutions of exponential-type potential functions using the semi-classical WKB approximation method with an improved approximation to the orbital centrifugal barrier. Furthermore, we derived the partition function with the associated thermodynamic properties. We calculated the expectation values (⟨1/r^2 ⟩ ) via the Hellmann-Feynman theorem. Our results for the energy levels are in excellent agreement compared to the best available results obtained by other methods in the existing literature. The variations of the thermodynamic functions with the temperature parameter (β) agree very well with the other results obtained under different potential energy functions. The expectation values conformed to the ones obtained by another approach in previous work. This work demonstrates the exactness of the leading order WKB approximation.

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Analytic Spin and Pseudospin Solutions to the Dirac Equation for the Manning-Rosen Plus Eckart Potential and Yukawa-Like Tensor Interaction

Cited by 4 publications

References 8 publications

Arbitrary ℓ-state solutions of the Klein-Gordon equation with the Manning-Rosen plus a Class of Yukawa potentials

Arbitrary ℓ-state solutions of the Klein-Gordon equation with the Manning-Rosen plus a Class of Yukawa potentials

Approximate l-States Solutions to the Schrodinger Equation with Manning-Rosen plus Hellmann Potential via WKB Approximation Scheme

The unified treatment of the non-relativistic bound state solutions, thermodynamic properties, and expectation values of exponential-type potentials

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