55,437 research outputs found
Effects of quantum deformation on the spin-1/2 Aharonov-Bohm problem
In this letter we study the Aharonov-Bohm problem for a spin-1/2 particle in
the quantum deformed framework generated by the -Poincar\'{e}-Hopf
algebra. We consider the nonrelativistic limit of the -deformed Dirac
equation and use the spin-dependent term to impose an upper bound on the
magnitude of the deformation parameter . By using the self-adjoint
extension approach, we examine the scattering and bound state scenarios. After
obtaining the scattering phase shift and the -matrix, the bound states
energies are obtained by analyzing the pole structure of the latter. Using a
recently developed general regularization prescription [Phys. Rev. D.
\textbf{85}, 041701(R) (2012)], the self-adjoint extension parameter is
determined in terms of the physics of the problem. For last, we analyze the
problem of helicity conservation.Comment: 12 pages, no figures, submitted for publicatio
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
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
Remarks on the Aharonov-Casher dynamics in a CPT-odd Lorentz-violating background
The Aharonov-Casher problem in the presence of a Lorentz-violating background
nonminimally coupled to a spinor and a gauge field is examined. Using an
approach based on the self-adjoint extension method, an expression for the
bound state energies is obtained in terms of the physics of the problem by
determining the self-adjoint extension parameter.Comment: Matches 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
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