68 research outputs found
On planar quantum dynamics of a magnetic dipole moment in the presence of electric and magnetic fields
The planar quantum dynamics of a neutral particle with a magnetic dipole
moment in the presence of electric and magnetic fields is considered. The
criteria to establish the planar dynamics reveal that the resulting
nonrelativistic Hamiltonian has a simplified expression without making
approximations, and some terms have crucial importance for system dynamics
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
Quantum dynamics of a spin-1/2 charged particle in the presence of magnetic field with scalar and vector couplings
The quantum dynamics of a spin-1/2 charged particle in the presence of
magnetic field is analyzed for the general case where scalar and vector
couplings are considered. The energy spectra are explicitly computed for
different physical situations, as well as their dependencies on the magnetic
field strength, spin projection parameter and vector and scalar coupling
constants.Comment: arXiv admin note: text overlap with arXiv:1403.411
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 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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