35,396 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
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
Even harmonic generation in isotropic media of dissociating homonuclear molecules
Isotropic gases irradiated by long pulses of intense IR light can generate
very high harmonics of the incident field. It is generally accepted that, due
to the symmetry of the generating medium, be it an atomic or an isotropic
molecular gas, only odd harmonics of the driving field can be produced. Here we
show how the interplay of electronic and nuclear dynamics can lead to a marked
breakdown of this standard picture: a substantial part of the harmonic spectrum
can consist of even rather than odd harmonics. We demonstrate the effect using
ab-initio solutions of the time-dependent Schr\"odinger equation for
and its isotopes in full dimensionality. By means of a simple
analytical model, we identify its physical origin, which is the appearance of a
permanent dipole moment in dissociating homonuclear molecules, caused by
light-induced localization of the electric charge during dissociation. The
effect arises for sufficiently long laser pulses and the region of the spectrum
where even harmonics are produced is controlled by pulse duration. Our results
(i) show how the interplay of femtosecond nuclear and attosecond electronic
dynamics, which affects the charge flow inside the dissociating molecule, is
reflected in the nonlinear response, and (ii) force one to augment standard
selection rules found in nonlinear optics textbooks by considering
light-induced modifications of the medium during the generation process.Comment: 7 pages, 6 figure
On the -Dirac Oscillator revisited
This Letter is based on the -Dirac equation, derived from the
-Poincar\'{e}-Hopf algebra. It is shown that the -Dirac
equation preserves parity while breaks charge conjugation and time reversal
symmetries. Introducing the Dirac oscillator prescription,
, in the -Dirac
equation, one obtains the -Dirac oscillator. Using a decomposition in
terms of spin angular functions, one achieves the deformed radial equations,
with the associated deformed energy eigenvalues and eigenfunctions. The
deformation parameter breaks the infinite degeneracy of the Dirac oscillator.
In the case where , one recovers the energy eigenvalues and
eigenfunctions of the Dirac oscillator.Comment: 5 pages, no figures, accepted for publication in Physics Letters
Crescimento e nutrição mineral de mudas de mangostão (Garcinia mangostana L.) micorrizadas ou não, em substrato com ou sem matéria orgânica.
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