Harmonic oscillator in an elastic medium with a spiral dislocation. (arXiv:1801.05404v1 [quant-ph])
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.