SOUZA, J. J. C.; http://lattes.cnpq.br/5815486961225932; SOUZA, José Jacinto Cruz de.
Resumen:
The study of quantum systems in the space with several topologies has been investigated in
different areas of the physics as, for example, in the gravitation and in the condensed matter
physics. The change in the topology in an elastic medium introduced by a linear defect
as a disclination, dislocation or dispiration produces some effects in the physical properties
of the system. The influence of those defects in the physical quantities can be understood
through a geometric approach that is based on the correspondence, of the mathematical
point of view, between the theory of defects in solids and the theory of the gravitation. In
this work we will study the behavior of a particle in a quantum system with variable mass
\m(p) = M (1 + //A2/?2)] in the presence of a dispiration in an uniform magnetic field in the
scenery of the theory of defects in solids of Katanaev-Volovich. We analyze the influence of
the topology and of the mass distribution in the Landau levels, as well as, i t influences in the
quantum non-relativistic quantum scattering.
