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arXiv · 2303.00483

Quantum Mechanics on Sharply Bent Wires via Two-Interval Sturm-Liouville Theory

João Paulo M. Pitelli·Ricardo A. Mosna·Felipe Felix Souto
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Abstract

We study quantum mechanics on a curved wire by approximating the physics around the curved region by three parameters coming from the boundary conditions given by the two interval Sturm-Liouville theory. Since the geometric potential on a highly curved wire is strong an non-integrable, these parameters depend on the regularization of the curved wire. Hence, unless we know precisely the shape of the wire, the presented method becomes not only a useful approximation, but also a necessary scheme to deal with quantum mechanics on highly curved wires.

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João Paulo M. Pitelli, Ricardo A. Mosna, Felipe Felix Souto. 2023-03-01. Quantum Mechanics on Sharply Bent Wires via Two-Interval Sturm-Liouville Theory. https://doi.org/10.1063/5.0170587

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