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arXiv · 1909.01765

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

W. C. F. da Silva·K. Bakke·R. L. L. Vitória
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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 Schr\"odinger 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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W. C. F. da Silva, K. Bakke, R. L. L. Vitória. 2019-08-30. Non-relativistic quantum effects on the harmonic oscillator in a spacetime with a distortion of a vertical line into a vertical spiral. https://doi.org/10.1140/epjc%2Fs10052-019-7166-9

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