4,671 research outputs found
Klein-Gordon Oscillator in Kaluza-Klein Theory
In this contribution we study the Klein-Gordon oscillator on the curved
background within the Kaluza-Klein theory. The problem of interaction between
particles coupled harmonically with a topological defects in Kaluza-Klein
theory is studied. We consider a series of topological defects, that treat the
Klein-Gordon oscillator coupled to this background and find the energy levels
and corresponding eigenfunctions in these cases. We show that the energy levels
depend on the global parameters characterizing these spacetimes. We also
investigate a quantum particle described by the Klein-Gordon oscillator
interacting with a cosmic dislocation in Som-Raychaudhuri spacetime in the
presence of homogeneous magnetic field in a Kaluza-Klein theory. In this case,
the spectrum of energy is determined, and we observe that these energy levels
are the sum of the term related with Aharonov-Bohm flux and of the parameter
associated to the rotation of the spacetime.Comment: 15 pages, no figur
Chaotic Planar Piecewise Smooth Vector Fields With Non Trivial Minimal Sets
In this paper some aspects on chaotic behavior and minimality in planar
piecewise smooth vector fields theory are treated. The occurrence of
non-deterministic chaos is observed and the concept of orientable minimality is
introduced. It is also investigated some relations between minimality and
orientable minimality and observed the existence of new kinds of non-trivial
minimal sets in chaotic systems. The approach is geometrical and involve the
ordinary techniques of non-smooth systems.Comment: arXiv admin note: text overlap with arXiv:1307.682
Algebraic characterization of anomalies in chiral WW_{3} gravity
The anomalies which occur in chiral WW_{3} gravity are characterized by
solving the BRS consistency condition.Comment: 25 pages, report CBPF-NF-042/9
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