1,378 research outputs found
Geometric models of (d+1)-dimensional relativistic rotating oscillators
Geometric models of quantum relativistic rotating oscillators in arbitrary
dimensions are defined on backgrounds with deformed anti-de Sitter metrics. It
is shown that these models are analytically solvable, deriving the formulas of
the energy levels and corresponding normalized energy eigenfunctions. An
important property is that all these models have the same nonrelativistic
limit, namely the usual harmonic oscillator.Comment: 7 pages, Late
The Schr\" odinger picture of the Dirac quantum mechanics on spatially flat Robertson-Walker backgrounds
The Schr\" odinger picture of the Dirac quantum mechanics is defined in
charts with spatially flat Robertson-Walker metrics and Cartesian coordinates.
The main observables of this picture are identified, including the interacting
part of the Hamiltonian operator produced by the minimal coupling with the
gravitational field. It is shown that in this approach new Dirac quantum modes
on de Sitter spacetimes may be found analytically solving the Dirac equation.Comment: 6 pages 0 figure
Weak Localization and Antilocalization in Topological Insulator Thin Films with Coherent Bulk-Surface Coupling
We evaluate quantum corrections to conductivity in an electrically gated thin
film of a three-dimensional (3D) topological insulator (TI). We derive
approximate analytical expressions for the low-field magnetoresistance as a
function of bulk doping and bulk-surface tunneling rate. Our results reveal
parameter regimes for both weak localization and weak antilocalization, and
include diffusive Weyl semimetals as a special case.Comment: After publication, we have noticed and corrected two small but
potentially misleading typographic errors in Eqs. (2.27) and (2.29), where
the definitions of \tau_s and \tau_v were mistakenly switched. Once these
typographic errors are fixed, all the results remain unchanged. An Erratum
will be published in PR
Dirac-Coulomb scattering with plane wave energy eigenspinors on de Sitter expanding universe
The lowest order contribution of the amplitude of Dirac-Coulomb scattering in
de Sitter spacetime is calculated assuming that the initial and final states of
the Dirac field are described by exact solutions of the free Dirac equation on
de Sitter spacetime with a given energy and helicity. We find that the total
energy is conserved in the scattering process.Comment: 9 pages, no figure
Remarks on the spherical waves of the Dirac field on de Sitter spacetime
The Shishkin's solutions of the Dirac equation in spherical moving frames of
the de Sitter spacetime are investigated pointing out the set of commuting
operators whose eigenvalues determine the integration constants. It is shown
that these depend on the usual angular quantum numbers and, in addition, on the
value of the scalar momentum. With these elements a new result is obtained
finding the system of solutions normalized (in generalized sense) in the scale
of scalar momentum.Comment: 7 pages, no figure
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