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1
Content available remote

Bianchi type-I string cosmological model in the presence of a magnetic flux: exact and qualitative solutions

100%
Saha B., Rikhvitsky V., Visinescu M.
Open Physics
|
2010
|
vol. 8
|
issue 1
113-119
EN
A Bianchi type-I cosmological model in the presence of a magnetic flux along a cosmological string is investigated. The objective of this study is to generate solutions to the Einstein equations using a few tractable assumptions usually accepted in the literature. The analytical solutions are supplemented with numerical and qualitative analysis. In the frame of the present model the evolution of the Universe and other physical aspects are discussed.
2
Content available remote

Approximate analytical solutions of scattering states for Klein-Gordon equation with Hulthén potentials for nonzero angular momentum

76%
Chen C.-Y., Lu F.-L., Sun D.-S.
Open Physics
|
2008
|
vol. 6
|
issue 4
884-890
EN
In this paper, using the exponential function transformation approach along with an approximation for the centrifugal potential, the radial Klein-Gordon equation with the vector and scalar Hulthén potential is transformed to a hypergeometric differential equation. The approximate analytical solutions of t-waves scattering states are presented. The normalized wave functions expressed in terms of hypergeometric functions of scattering states on the “k/2π scale” and the calculation formula of phase shifts are given. The physical meaning of the approximate analytical solution is discussed.
3
Content available remote

Green’s function for an electron model with a plane wave

76%
Ould Lahoucine H., Chetouani L.
Open Physics
|
2009
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vol. 7
|
issue 1
184-192
EN
The Green function for a Dirac particle subject to a plane wave field is constructed according to the path integral approach and the Barut’s electron model. Then it is exactly determined after having fixed a matrix U chosen so that the equations of motion are those of a free particle, and by using the properties of the plane wave and also with some shifts.
4
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Transmission resonance for a Dirac particle in a one-dimensional Hulthén potential

76%
Guo J., Yu Y., Jin S.
Open Physics
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2009
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vol. 7
|
issue 1
168-174
EN
We have solved exactly the two-component Dirac equation in the presence of a spatially one-dimensional Hulthén potential, and presented the Dirac spinors of scattering states in terms of hypergeometric functions. We have derived the reflection and transmission coefficients using the matching condition on the wavefunctions, and investigated the condition for the existence of transmission resonance. Furthermore, we have demonstrated how the transmission resonance depends on the shape of the potential.
5
Content available remote

Approximate analytical solutions of the generalized Woods-Saxon potentials including the spin-orbit coupling term and spin symmetry

64%
Ikhdair S., Sever R.
Open Physics
|
2010
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vol. 8
|
issue 4
652-666
EN
We study the approximate analytical solutions of the Dirac equation for the generalized Woods-Saxon potential with the pseudo-centrifugal term. We apply the Nikiforov-Uvarov method (which solves a second-order linear differential equation by reducing it to a generalized hypergeometric form) to spin- and pseudospin-symmetry to obtain, in closed form, the approximately analytical bound state energy eigenvalues and the corresponding upper- and lower-spinor components of two Dirac particles. The special cases κ = ±1 (s = $$ \tilde l $$ = 0, s-wave) and the non-relativistic limit can be reached easily and directly for the generalized and standard Woods-Saxon potentials. We compare the non-relativistic results with those obtained by others.
6
Content available remote

Stochastic quantization method for spinning particles in a gravitational plane wave field

64%
Lehtihet Z., Chetouani L.
Open Physics
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2008
|
vol. 6
|
issue 2
372-384
EN
The exact and analytic Green functions for spinning relativistic particles in interaction with a gravitational plane wave field are obtained within the Stochastic Quantization Method of Parisi and Wu. We have separated the classical calculations from those related to the quantum fluctuations. The problem has been solved by using a perturbative treatment via the Langevin equation relying on phase and configuration spaces formulation.
7
Content available remote

The relativistic bound and scattering states of the Manning-Rosen potential with an improved new approximate scheme to the centrifugal term

64%
Wei G.-F., Zhen Z.-Z., Dong S.-H.
Open Physics
|
2009
|
vol. 7
|
issue 1
175-183
EN
The approximately analytical bound and scattering state solutions of the arbitrary l-wave Klein-Gordon equation for the mixed Manning-Rosen potentials are carried out by an improved new approximation to the centrifugal term. The normalized analytical radial wave functions of the l-wave Klein-Gordon equation with the mixed Manning-Rosen potentials are presented and the corresponding energy equations for bound states and phase shifts for scattering states are derived. It is shown that the energy levels of the continuum states, reduce to the bound states of those at the poles of the scattering amplitude. Some useful figures are plotted to show the improved accuracy of our results and the special case for wave is studied briefly.
8
Content available remote

Pseudospin symmetry and a double ring-shaped spherical harmonic oscillator potential

64%
Zhang M.-C.
Open Physics
|
2009
|
vol. 7
|
issue 4
768-773
EN
A new double ring-shaped spherical harmonic oscillator potential is presented. The pseudospin symmetry in this system is investigated by solving the Dirac equation with equal mixture of scalar and vector potentials with opposite signs. The normalized spinor wave function and energy equation are obtained and some particular cases are discussed.
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