Harmonic oscillator in an elastic medium with a spiral dislocation

摘要

AbstractWe 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?dinger 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.Highlights?Exact solutions to harmonic oscillator in the presence of a spiral dislocation.?Topological effects of a spiral dislocation on the spectrum of energy.?Absence of Aharonov-Bohm-type effect for bound states from the topology of the defect.]]>