Harmonic oscillator in an elastic medium with a spiral dislocation
Quantum Physics
2018-01-17 v1 Mesoscale and Nanoscale Physics
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 Schr\"odinger 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.
Cite
@article{arxiv.1801.05404,
title = {Harmonic oscillator in an elastic medium with a spiral dislocation},
author = {A. V. D. M. Maia and K. Bakke},
journal= {arXiv preprint arXiv:1801.05404},
year = {2018}
}