Pseudo-spin Symmetry in Dirac-Four-Parameter Diatomic Problem Coupled with a Coulomb-like Tensor potential

In this work we solve the Dirac equation by constructing the exact bound state solutions for a mixing of scalar and vector spherically asymmetrical singular oscillators. This is done provided that the vector potential is equal to the scalar potential. The spinor wave functions and bound state energy levels are presented. The case V(r) = -S(r) is also considered.

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Analytical solution of energy eigen value, eigen function and angular wave function of Dirac equation with Rosen Morse plus Rosen Morse potential in terms of Romanovski polynomials for exact spin symmetry

Journal of Physics Theories and Applications ◽

10.20961/jphystheor-appl.v1i1.4700 ◽

2017 ◽

Vol 1 (1) ◽

pp. 1

Author(s):

Ihtiari Prasetyaningrum ◽

C Cari ◽

A Suparmi

Keyword(s):

Dirac Equation ◽

Morse Potential ◽

State Energy ◽

Spin Symmetry ◽

Bound State ◽

Bound State Energy ◽

Eigenvalues And Eigenfunctions ◽

Energy Eigenvalues ◽

Eigen Value ◽

Energy Eigenvalues And Eigenfunctions

<p class="Abstract">The energy eigenvalues and eigenfunctions of Dirac equation for Rosen Morse plus Rosen Morse potential are investigated numerically in terms of finite Romanovsky Polynomial. The bound state energy eigenvalues are given in a closed form and corresponding eigenfunctions are obtained in terms of Romanovski polynomials. The energi eigen value is solved by numerical method with Matlab 2011.</p>

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Analytical solution of energy eigen value, eigen function and angular wave function of Dirac equation with Rosen Morse plus Rosen Morse potential in terms of Romanovski polynomials for exact spin symmetry

Journal of Theoretical and Applied Physics ◽

10.20961/jotap.v1i1.4700 ◽

2017 ◽

Vol 1 (1) ◽

pp. 1

Author(s):

Ihtiari Prasetyaningrum ◽

C Cari ◽

A Suparmi

Keyword(s):

Dirac Equation ◽

Morse Potential ◽

State Energy ◽

Spin Symmetry ◽

Bound State ◽

Bound State Energy ◽

Eigenvalues And Eigenfunctions ◽

Energy Eigenvalues ◽

Eigen Value ◽

Energy Eigenvalues And Eigenfunctions

<p class="Abstract">The energy eigenvalues and eigenfunctions of Dirac equation for Rosen Morse plus Rosen Morse potential are investigated numerically in terms of finite Romanovsky Polynomial. The bound state energy eigenvalues are given in a closed form and corresponding eigenfunctions are obtained in terms of Romanovski polynomials. The energi eigen value is solved by numerical method with Matlab 2011.</p>

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EXACT SOLUTIONS OF DIRAC EQUATION WITH HARTMANN POTENTIAL BY NIKIFOROV–UVAROV METHOD

International Journal of Modern Physics E ◽

10.1142/s0218301310016594 ◽

2010 ◽

Vol 19 (11) ◽

pp. 2189-2197 ◽

Cited By ~ 25

Author(s):

M. HAMZAVI ◽

H. HASSANABADI ◽

A. A. RAJABI

Keyword(s):

Dirac Equation ◽

State Energy ◽

Bound State ◽

Energy Eigenvalues ◽

Dirac Particles ◽

Uvarov Method ◽

Spinor Wave ◽

Polar Parts ◽

Component Spinor ◽

Hartmann Potential

We investigate the exact solution of the Dirac equation for the Hartmann potential. The radial and polar parts of the Dirac equation are solved by Nikiforov–Uvarov method. The bound state energy eigenvalues and the corresponding two-component spinor wave functions of the Dirac particles are obtained.

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Pseudo-spin Symmetry for Relativistic-Hyperbolic Problem and Tensor Potential

Journal of Scientific Research ◽

10.3329/jsr.v3i3.8071 ◽

2011 ◽

Vol 3 (3) ◽

pp. 493-500 ◽

Cited By ~ 2

Author(s):

M. Eshghi

Keyword(s):

Dirac Equation ◽

Relativistic Equation ◽

Spin Symmetry ◽

Numerical Results ◽

Wave Functions ◽

Hyperbolic Problem ◽

Energy Eigenvalues ◽

Tensor Potential ◽

Hyperbolic Potential ◽

Uvarov Method

We study the relativistic equation of spin-1/2 particles under the hyperbolic potential and a Coulomb-like tensor potential. By using the generalized parametric of the Nikiforov-Uvarov method and the pseudo-spin symmetry, we obtain the energy eigenvalues equation and the corresponding unnormalized wave functions. Some numerical results are given, too.Keywords: Dirac equation; Tensor potential; Pseudo-spin symmetry; Nikiforov-Uvarov.© 2011 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserveddoi:10.3329/jsr.v3i3.8071 J. Sci. Res. 3 (3), 503-510 (2011

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Aspect Ratio Effect of Vertical Lid Driven Chamber Having a Centered Conducting Solid on Mixed Magnetoconvection

Journal of Scientific Research ◽

10.3329/jsr.v3i3.7433 ◽

2011 ◽

Vol 3 (3) ◽

pp. 501-513 ◽

Cited By ~ 5

Author(s):

R. Nasrin

Keyword(s):

Dirac Equation ◽

Aspect Ratio ◽

Relativistic Equation ◽

Spin Symmetry ◽

Wave Functions ◽

Ratio Effect ◽

Energy Eigenvalues ◽

Tensor Potential ◽

Hyperbolic Potential ◽

Uvarov Method

We study the relativistic equation of spin-1/2 particles under the hyperbolic potential and a Coulomb-like tensor potential. By using the generalized parametric of the Nikiforov-Uvarov method and the pseudo-spin symmetry, we obtain the energy eigenvalues equation and the corresponding unnormalized wave functions. Some numerical results are given, too.Keywords: Dirac equation; Tensor potential; Pseudo-spin symmetry; Nikiforov-Uvarov.© 2011 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserveddoi:10.3329/jsr.v3i3.8071 J. Sci. Res. 3 (3), 503-510 (2011)

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Bound states of Newton’s equivalent finite square well

Modern Physics Letters A ◽

10.1142/s021773231850195x ◽

2018 ◽

Vol 33 (33) ◽

pp. 1850195

Author(s):

Amornthep Tita ◽

Pichet Vanichchapongjaroen

Keyword(s):

Energy Spectrum ◽

Bound States ◽

Infinite Order ◽

State Energy ◽

Order Differential Equation ◽

Bound State ◽

Wave Functions ◽

Bound State Energy ◽

Standard Quantum ◽

Square Well

In this paper, a one-parameter family of Newton’s equivalent Hamiltonians (NEH) for finite square well potential is analyzed in order to obtain bound state energy spectrum and wave functions. For a generic potential, each of the NEH is classically equivalent to one another and to the standard Hamiltonian yielding Newton’s equations. Quantum mechanically, however, they are expected to be different from each other. The Schrödinger’s equation coming from each NEH with finite square well potential is an infinite order differential equation. The matching conditions, therefore, demand the wave functions to be infinitely differentiable at the well boundaries. To handle this, we provide a way to consistently truncate these conditions. It turns out as expected that bound state energy spectrum and wave functions are dependent on the parameter [Formula: see text] which is used to characterize different NEH. As [Formula: see text], the energy spectrum coincides with that from the standard quantum finite square well.

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EXACT SPIN AND PSEUDO-SPIN SYMMETRIC SOLUTIONS OF THE DIRAC–KRATZER PROBLEM WITH A TENSOR POTENTIAL VIA LAPLACE TRANSFORM APPROACH

Modern Physics Letters A ◽

10.1142/s0217732312501714 ◽

2012 ◽

Vol 27 (30) ◽

pp. 1250171 ◽

Cited By ~ 7

Author(s):

ALTUĞ ARDA ◽

RAMAZAN SEVER

Keyword(s):

Energy Spectrum ◽

Dirac Equation ◽

Laplace Transform ◽

Coulomb Potential ◽

Spin Symmetry ◽

Bound State ◽

Exact Bound ◽

Tensor Potential ◽

The Laplace Transform ◽

Parameter Values

Exact bound state solutions of the Dirac equation for the Kratzer potential in the presence of a tensor potential are studied by using the Laplace transform approach for the cases of spin- and pseudo-spin symmetry. The energy spectrum is obtained in the closed form for the relativistic as well as non-relativistic cases including the Coulomb potential. It is seen that our analytical results are in agreement with the ones given in the literature. The numerical results are also given in a table for different parameter values.

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Relativistic Symmetries of Hulthén Potential Incorporated with Generalized Tensor Interactions

Advances in High Energy Physics ◽

10.1155/2013/910419 ◽

2013 ◽

Vol 2013 ◽

pp. 1-10 ◽

Cited By ~ 4

Author(s):

A. N. Ikot ◽

H. Hassanabadi ◽

E. Maghsoodi ◽

S. Zarrinkamar

Keyword(s):

State Energy ◽

Bound State ◽

Tensor Interaction ◽

Wave Functions ◽

Energy Spectra ◽

Bound State Energy ◽

Hulthén Potential ◽

Radial Wave ◽

Hulthen Potential ◽

Uvarov Method

Spin and pseudospin symmetries of the Dirac equation for a Hulthén potential with a novel tensor interaction, that is, a combination of the Coulomb and Yukawa potentials, are investigated using the Nikiforov-Uvarov method. The bound-state energy spectra and the radial wave functions are approximately obtained in the case of spin and pseudospin symmetries. The tensor interactions and the degeneracy-removing role are presented in details.

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PSEUDOSPIN AND SPIN SYMMETRY FOR THE RING-SHAPED GENERALIZED HULTHÉN POTENTIAL

International Journal of Modern Physics A ◽

10.1142/s0217751x10050214 ◽

2010 ◽

Vol 25 (21) ◽

pp. 4067-4079 ◽

Cited By ~ 4

Author(s):

OKTAY AYDOĞDU ◽

RAMAZAN SEVER

Keyword(s):

State Energy ◽

Spin Symmetry ◽

Bound State ◽

Wave Functions ◽

Relativistic Energy ◽

Hulthén Potential ◽

Energy Eigenvalues ◽

Hulthen Potential ◽

Dependent Part ◽

Uvarov Method

We obtain the bound state energy eigenvalues and the corresponding wave functions of the Dirac particle for the generalized Hulthén potential plus a ring-shaped potential with pseudospin and spin symmetry. The Nikiforov–Uvarov method is used in the calculations. Contribution of the angle-dependent part of the potential to the relativistic energy spectra are investigated. In addition, it is shown that the obtained results coincide with those available in the literature.

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