Harmonic oscillator in an elastic medium with a spiral dislocation

Autor: Maia, A. V. D. M., Bakke, K.
Rok vydání: 2018
Předmět:
Zdroj: Physica B: Condensed Matter 531, 213 (2018)
Druh dokumentu: Working Paper
DOI: 10.1016/j.physb.2017.12.045
Popis: 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.
Databáze: arXiv