Topological Effects of a Spiral Dislocation on Quantum Revivals

We analyse the influence of spiral dislocation topology on the revival time for the harmonic oscillator, for a particle confined to one-dimensional quantum ring, and a two-dimensional quantum ring. We first investigate the effects of a cut-off point that stems from the topology of this defect on the...

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Bibliographic Details
Published in:Universe (Basel) 2022-03, Vol.8 (3), p.168
Main Authors: Maia, Anderson V. D. M., Bakke, Knut
Format: Article
Language:English
Subjects:
analytical solutions
Eigenvalues
Energy
Graphene
harmonic oscillator
linear topological defects
quantum revivals
quantum rings
spiral dislocation
Topology
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Summary:We analyse the influence of spiral dislocation topology on the revival time for the harmonic oscillator, for a particle confined to one-dimensional quantum ring, and a two-dimensional quantum ring. We first investigate the effects of a cut-off point that stems from the topology of this defect on the harmonic oscillator. Then, we show that the influence of spiral dislocation topology on the harmonic oscillator gives rise to a non-null revival time related to the radial quantum number. In the case of the two-dimensional quantum ring, we show that the revival times related to the radial quantum number and the angular momentum quantum number are influenced by the spiral dislocation topology.
ISSN:2218-1997
2218-1997
DOI:10.3390/universe8030168