98 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
gauge models with spontaneous symmetry breaking
A possible generalization of the technique of the standard model to
gauge models is proposed. A special Higgs mechanism and a
new kind of Yukawa couplings in unitary gauge are introduced. These allow us to
obtain a general method of deriving boson mass spectrum and coupling
coefficients which will be used to find an exact solution of the Pisano-Pleitez
three-generation model. A new anomaly-free one-generation
model is briefly discussed.Comment: 41 pages, REVTe
The Dirac particle on de Sitter background
We show that the Dirac equation on de Sitter background can be analytically
solved in a special static frame where the energy eigenspinors can be expressed
in terms of usual angular spinors known from special relativity, and a pair of
radial wave functions.Comment: 9 pages, Late
Discrete quantum modes of the Dirac field in backgrounds
It is shown that the free Dirac equation in spherically symmetric static
backgrounds of any dimensions can be put in a simple form using a special
version of Cartesian gauge in Cartesian coordinates. This is manifestly
covariant under the transformations of the isometry group so that the
generalized spherical coordinates can be separated in terms of angular spinors
like in the flat case, obtaining a pair of radial equations. In this approach
the equation of the free field Dirac in backgrounds is analytically
solved obtaining the formula of the energy levels and the corresponding
normalized eigenspinors.Comment: 18 pages, Latex. Submitted to Phys.Rev.
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