On some classical and quantum effects due to gravitational fields

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1. Verfasser: V. B. Bezerra
Format: Artículo científico
Sprache:en
Veröffentlicht: Sociedade Brasileira de Física 2006
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author V. B. Bezerra
author_facet V. B. Bezerra
contents On some classical and quantum effects due to gravitational fields V. B. Bezerra Física, Astronomía y Matemáticas Cosmology Cosmic string Gravitational fields We consider the gravitational fields generated by a cosmic string, a global monopole and a tubular matter withinterior magnetic field (Safko-Witten space-time), and examine some classical and quantum effects due to thesefields. We investigate the Aharonov-Bohm effect in the space-time of a cosmic string, using the loop variables.In the space-time of a global monopole, we calculate the total energy radiated by a uniformly moving chargedscalar particle, for small solid angle deficit. We show that the radiated energy is proportional to the cube of thevelocity of the particle and to the cube of the Lorenz factor, in the non-relativistic and ultra-relativistic cases,respectively. In the Safko-Witten space-time, we investigate the existence of an electrostatic self-force on acharged particle. We also consider a hydrogen atom in the background space-time generated by a cosmic stringand we find the solutions of the corresponding Dirac equation and we determine the energy levels of the atom.We investigate how the topological features of this space-time lead to shifts in the energy levels as comparedwith the flat Minkowski space-time. We study the behavior of non-relativistic quantum particles interacting witha Kratzer potential in the space-time generated by a global monopole and we find the energy spectrum in thepresence of this topological defect. In the Safko-Witten space-time, an investigation is also made concerningthe interaction of an harmonic oscillator with this background gravitational field. 2006 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46436206 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.1B Vol.36
format Artículo científico
id redalyc_46436206
institution Redalyc
language en
publishDate 2006
publisher Sociedade Brasileira de Física
spellingShingle On some classical and quantum effects due to gravitational fields
V. B. Bezerra
Física, Astronomía y Matemáticas
Cosmology
Cosmic string
Gravitational fields
On some classical and quantum effects due to gravitational fields V. B. Bezerra Física, Astronomía y Matemáticas Cosmology Cosmic string Gravitational fields We consider the gravitational fields generated by a cosmic string, a global monopole and a tubular matter withinterior magnetic field (Safko-Witten space-time), and examine some classical and quantum effects due to thesefields. We investigate the Aharonov-Bohm effect in the space-time of a cosmic string, using the loop variables.In the space-time of a global monopole, we calculate the total energy radiated by a uniformly moving chargedscalar particle, for small solid angle deficit. We show that the radiated energy is proportional to the cube of thevelocity of the particle and to the cube of the Lorenz factor, in the non-relativistic and ultra-relativistic cases,respectively. In the Safko-Witten space-time, we investigate the existence of an electrostatic self-force on acharged particle. We also consider a hydrogen atom in the background space-time generated by a cosmic stringand we find the solutions of the corresponding Dirac equation and we determine the energy levels of the atom.We investigate how the topological features of this space-time lead to shifts in the energy levels as comparedwith the flat Minkowski space-time. We study the behavior of non-relativistic quantum particles interacting witha Kratzer potential in the space-time generated by a global monopole and we find the energy spectrum in thepresence of this topological defect. In the Safko-Witten space-time, an investigation is also made concerningthe interaction of an harmonic oscillator with this background gravitational field. 2006 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46436206 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.1B Vol.36
title On some classical and quantum effects due to gravitational fields
topic Física, Astronomía y Matemáticas
Cosmology
Cosmic string
Gravitational fields
url https://www.redalyc.org/articulo.oa?id=46436206