A Bound Quantum Particle in a Riemann-Cartan space with Topological Defects and Planar Potential

Details A Bound Quantum Particle in a Riemann-Cartan space with Topological Defects and Planar Potential A Bound Quantum Particle in a Riemann-Cartan space with Topological Defects and Planar Potential

2007-02-09

arxiv.org/abs/hep-th/0702070v1

Phys.Lett. A366, 315 (2007)

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

Starting from a continuum theory of defects, that is the analogous to three-dimensional Einstein-Cartan-Sciama-Kibble gravity, we consider a charged particle with spin 1/2 propagating in a uniform magnetic field coincident with a wedge dispiration of finite extent. We assume the particle is bound in the vicinity of the dispiration by long range attractive (harmonic) and short range (inverse square) repulsive potentials. Moreover, we consider the effects of spin-torsion and spin-magnetic field interactions. Exact expressions for the energy eigenfunctions and eigenvalues are determined. The limit, in which the defect region becomes singular, is considered and comparison with the electromagnetic Aharonov-Bohm effect is made.

Affiliated with

Also associated with

No associations

Rating

A Bound Quantum Particle in a Riemann-Cartan space with Topological Defects and Planar Potential does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Bound Quantum Particle in a Riemann-Cartan space with Topological Defects and Planar Potential, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Bound Quantum Particle in a Riemann-Cartan space with Topological Defects and Planar Potential will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-8248