55,437 research outputs found

    Effects of quantum deformation on the spin-1/2 Aharonov-Bohm problem

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    In this letter we study the Aharonov-Bohm problem for a spin-1/2 particle in the quantum deformed framework generated by the κ\kappa-Poincar\'{e}-Hopf algebra. We consider the nonrelativistic limit of the κ\kappa-deformed Dirac equation and use the spin-dependent term to impose an upper bound on the magnitude of the deformation parameter ε\varepsilon. By using the self-adjoint extension approach, we examine the scattering and bound state scenarios. After obtaining the scattering phase shift and the SS-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

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    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 δ\delta 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 κ\kappa-Dirac oscillator

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    In this Letter, 2D Dirac oscillator in the quantum deformed framework generated by the κ\kappa-Poincar\'{e}-Hopf algebra is considered. The problem is formulated using the κ\kappa-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

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    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 (2+1)(2+1) dimensions

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    In this work the Dirac oscillator in (2+1)(2+1) dimensions is considered. We solve the problem in polar coordinates and discuss the dependence of the energy spectrum on the spin parameter ss and angular momentum quantum number mm. Contrary to earlier attempts, we show that the degeneracy of the energy spectrum can occur for all possible values of smsm. 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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