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Open Quantum Systems Decoherence

Doubly anharmonic oscillator under the topological effects of a screw dislocation

arXiv
Authors: Knut Bakke

Year

2017

Paper ID

44785

Status

Preprint

Abstract Read

~2 min

Abstract Words

91

Citations

N/A

Abstract

We consider an elastic medium with the distortion of a circular curve into a vertical spiral, and investigate the influence of this topological defect on the doubly anharmonic oscillator. We show that the Schrödinger equation for the doubly anharmonic oscillator in the presence of this linear topological defect can be solved analytically. We also obtain the exact expressions for the permitted energies of the ground state of the doubly anharmonic oscillator, and show that the topology of the screw dislocation modifies the spectrum of energy of the doubly anharmonic oscillator.

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  • We consider an elastic medium with the distortion of a circular curve into a vertical spiral, and investigate the influence of this topological defect on the doubly anharmonic...

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