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arXiv · 1801.05404

Harmonic oscillator in an elastic medium with a spiral dislocation

A. V. D. M. Maia·K. Bakke
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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.

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A. V. D. M. Maia, K. Bakke. 2018-01-16. Harmonic oscillator in an elastic medium with a spiral dislocation. https://doi.org/10.1016/j.physb.2017.12.045

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