Non-relativistic quantum effects on the harmonic oscillator in a spacetime with a distortion of a vertical line into a vertical spiral

2019/08/30 by W. C. F. da Silva, K. Bakke, R. L. L. Vitória · 1 citation
Physics and Astronomy · #physics.gen-ph

paper · pdf · doi:10.1140/epjc/s10052-019-7166-9

published as Eur. Phys. J. C (2019) 79:657 · 5 pages

arxiv created 2019/08/30 · arxiv updated 2019/09/05

Abstract

Non-relativistic quantum effects of the topology of the spacetime with the distortion of a vertical line into a vertical spiral on the harmonic oscillator are investigated. By searching for analytical solutions to the Schrödinger equation in this topological defect background, it is shown that the topology of the spacetime modifies the spectrum of energy of the harmonic oscillator. Besides, it is shown that there exists an Aharonov-Bohm-type effect for bound states.

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