Harmonic oscillator in an elastic medium with a spiral dislocation
arXiv:1801.05404 · doi:10.1016/j.physb.2017.12.045
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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- Topological and rotating effects on the Dirac field in the spiral dislocation spacetime
- On an electron in an elastic medium with a spiral dislocation
- Relativistic spin-0 Duffin-Kemmer-Petiau equation in Bonnor-Melvin-Lambda solution
- Aharonov-Bohm-type effect in the background of a distortion of a vertical line into a vertical spiral
- Quantum dynamics of spin-0 particles in a cosmological space-time
- Klein-Gordon oscillator in the presence of external fields in a cosmic space-time with a spacelike dislocation and Aharonov-Bohm effect
- About the effects of rotation on the Landau levels in an elastic medium with a spiral dislocation