Pseudospin symmetry in the relativistic Manning–Rosen potential including a Pekeris-type approximation to the pseudo-centrifugal term

Gao, Wei; Dong, Shi Hai

doi:10.1016/j.physletb.2010.02.070

Cited by 153 publications

(76 citation statements)

References 45 publications

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“…with any of these exponential-type potentials are obtained using different methods which include: asymptotic iteration method (AIM) [10][11][12][13][14][15][16], Nikiforov-Uvarov (N.U) method [17][18][19][20], exact/ proper quantization rule [21], supersymmetric method [22][23][24][25][26][27], 1/N shifted expansion method [28], etc.…”

Section: Introductionmentioning

confidence: 99%

Eigensolutions of the Schrödinger equation with a class of Yukawa potentials via supersymmetric approach

Onate

Ojonubah

2015

J Theor Appl Phys

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Using the basic concept of the supersymmetric shape invariance approach and formalism, we obtained an approximate solution of the Schrödinger equation with an interaction of inversely quadratic Yukawa potential, Yukawa potential and Coulomb potential which we considered as a class of Yukawa potentials. By varying the potential strengths, we obtained a solution for Hellmann potential, Yukawa potential, Coulomb potential and inversely quadratic Yukawa potential. The numerical results we obtained show that the interaction of these potentials is equivalent to each of the potential.

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Section: Introductionmentioning

confidence: 99%

Eigensolutions of the Schrödinger equation with a class of Yukawa potentials via supersymmetric approach

Onate

Ojonubah

2015

J Theor Appl Phys

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“…The use of the Pekeris-type approximation to the centrifugal term was also mentioned by Wei and Dong [32,33]. Taking the potentialṼ l (16) instead of the centrifugal potential (15), (14) reduces to the following form:…”

Section: Hyperradial Part Of the Klein-gordon Equation In D-dimensionmentioning

confidence: 99%

Spinless Particles Subject to Unequal Scalar-Vector Nuclear Woods– Saxon Potentials in Arbitrary Dimensions

Hamzavi

Ikhdair

Rajabi

2013

Zeitschrift Für Naturforschung A

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We present analytical bound state solutions of the spin-zero particles in the Klein-Gordon (KG) equation in presence of an unequal mixture of scalar and vector Woods-Saxon potentials within the framework of the approximation scheme to the centrifugal potential term for any arbitrary l-state. The approximate energy eigenvalues and unnormalized wave functions are obtained in closed forms using a parametric Nikiforov-Uvarov (NU) method. Our numerical energy eigenvalues demonstrate the existence of inter-dimensional degeneracy amongst energy states of the KG-Woods-Saxon problem. The dependence of the energy levels on the dimension D is numerically discussed for spatial dimensions D = 2 -6.

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“…This type of approximation, (Pekeris-type) approximation can be traced back to Pekeris (1934), and for short-range potential, Greene & Aldrich (1976) proposed a good approximation to the centrifugal term (1/r 2 ). The idea about the use of approximation to centrifugal (or pseudo centrifugal) term has received much attention and considerable interest due to its wide range of applications (Wei & Dong, 2010a …”

Section: Basic Equations For the Upper-and Lower-components Of The DImentioning

confidence: 99%

Approximate Solutions of the Dirac Equation for the Rosen-Morse Potential in the Presence of the Spin-Orbit and Pseudo-Orbit Centrifugal Terms

Oyewumi¹

2012

Theoretical Concepts of Quantum Mechanics

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1 2 ) and (n − 1, ℓ + 2, j = ℓ + 3 2 ), where n, ℓ and j are the single-nucleon radial, orbital and total angular momentum quantum numbers for a single particle, respectively (Arima et al., 1969;Hecht & Adler, 1969;Ginocchio, 2004 ). The total angular momentum is given as j = ℓ + s, where ℓ = ℓ + 1 is a pseudo-angular momentum and s = 1 2 is a pseudo-spin angular momentum. Meng et al., (1998) deduced that in real nuclei, the PSS is only an approximation and the quality of approximation depends on the pseudo-centrifugal potential and pseudo-spin orbital potential. The orbital and pseudo-orbital angular momentum quantum numbers for SS ℓ and PSS ℓ refer to the upper-and lower-spinor components (for instance, F n,κ (r) and G n,κ (r), respectively. Ginocchio (1997); (1999); (2004); (2005a); (2005b) and Meng et al., (1998) showed that SS occurs when the difference between the vector potential V(r) and scalar potential S(r) in the Dirac Hamiltonian is a constant (that is, ∆(r)=V(r) − S(r)) and PSS occurs when the sum of two potential is a constant (that is, Σ(r)=V(r)+S(r)). A large number of investigations have been carried out on the SS and PSS by solving the Dirac equation with various methods (Alberto et al

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Pseudospin symmetry in the relativistic Manning–Rosen potential including a Pekeris-type approximation to the pseudo-centrifugal term

Cited by 153 publications

References 45 publications

Eigensolutions of the Schrödinger equation with a class of Yukawa potentials via supersymmetric approach

Eigensolutions of the Schrödinger equation with a class of Yukawa potentials via supersymmetric approach

Spinless Particles Subject to Unequal Scalar-Vector Nuclear Woods– Saxon Potentials in Arbitrary Dimensions

Approximate Solutions of the Dirac Equation for the Rosen-Morse Potential in the Presence of the Spin-Orbit and Pseudo-Orbit Centrifugal Terms

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