135 research outputs found
Effects of spin on the dynamics of the 2D Dirac oscillator in the magnetic cosmic string background
In this work the dynamics of a 2D Dirac oscillator in the spacetime of a
magnetic cosmic string is considered. It is shown that earlier approaches to
this problem have neglected a function contribution to the full
Hamiltonian, which comes from the Zeeman interaction. The inclusion of spin
effects leads to results which confirm a modified dynamics. Based on the
self-adjoint extension method, we determined the most relevant physical
quantities, such as energy spectrum, wave functions and the self-adjoint
extension parameter by applying boundary conditions allowed by the system.Comment: 9 pages, 2 figures, published versio
Remarks on the Dirac oscillator in dimensions
In this work the Dirac oscillator in dimensions is considered. We
solve the problem in polar coordinates and discuss the dependence of the energy
spectrum on the spin parameter and angular momentum quantum number .
Contrary to earlier attempts, we show that the degeneracy of the energy
spectrum can occur for all possible values of . In an additional analysis,
we also show that an isolated bound state solution, excluded from
Sturm-Liouville problem, exists.Comment: 5 pages, 2 figures, minor corrections, published versio
The 2D -Dirac oscillator
In this Letter, 2D Dirac oscillator in the quantum deformed framework
generated by the -Poincar\'{e}-Hopf algebra is considered. The problem
is formulated using the -deformed Dirac equation. The resulting theory
reveals that the energies and wave functions of the oscillator are modified by
the deformation parameter.Comment: 4 pages, 2 figures, Accepted for publication in Physics Letters
The DKP oscillator with a linear interaction in the cosmic string space-time
We study the relativistic quantum dynamics of a DKP oscillator field subject
to a linear interaction in cosmic string space-time in order to better
understand the effects of gravitational fields produced by topological defects
on the scalar field. We obtain the solution of DKP oscillator in the cosmic
string background. Also, we solve it with an ansatz in presence of linear
interaction. We obtain the eigenfunctions and the energy levels of the
relativistic field in that background.Comment: 14 pages, no figure, comments are welcom
Quantum motion of a spinless particle in curved space: A viewpoint of scattering theory
In this work, we study the scattering of a spinless charged particle
constrained to move on a curved surface in the presence of the Aharonov-Bohm
potential. We begin with the equations of motion for the surface and transverse
dynamics previously obtained in the literature (Ferrari G. and Cuoghi G., Phys.
Rev. Lett. \textbf{100}, 230403 (2008)) and describe the surface with
non-trivial curvature in terms of linear defects such as dislocations and
disclinations. Expressions for the modified phase shift, S--matrix and
scattering amplitude are determined by applying a suitable boundary condition
at the origin, which comes from the self-adjoint extension theory. We also
discuss the presence of a bound state obtained from the pole of the S--matrix.
Finally, we claim that the bound state, the additional scattering and the
dependence of the scattering amplitude with energy are solely due to the
curvature effects.Comment: 9 pages, 1 figur
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