Harmonic oscillator in an elastic medium with a spiral dislocation
arXiv:1801.05404 · doi:10.1016/j.physb.2017.12.045
Abstract
We investigate the behaviour of a two-dimensional harmonic oscillator in an elastic medium that possesses a spiral dislocation (an edge dislocation). We show that the Schrödinger equation for harmonic oscillator in the presence of a spiral dislocation can be solved analytically. Further, we discuss the effects of this topological defect on the confinement to a hard-wall confining potential. In both cases, we analyse if the effects of the topology of the spiral dislocation gives rise to an Aharonov-Bohm-type effect for bound states.
References in corpus (4)
- Exact Solutions of the Klein-Gordon Equation in the Presence of a Dyon, Magnetic Flux and Scalar Potential in the Specetime of Gravitational Defects
- Thermodynamic properties of neutral particle in presence of Topological defects in Magnetic Cosmic String Background
- Landau quantization, Aharonov-Bohm effect and two-dimensional pseudoharmonic quantum dot around a screw dislocation
- Torsion effects on a relativistic position-dependent mass system