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arXiv · 2302.06920

Energy Spectrum of a constrained Quantum Particle and the Willmore Energy of the constraining Surface

Vicent Gimeno i Garcia·Steen Markvorsen
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Abstract

Geometric and topological bounds are obtained for the first energy level gap of a particle constrained to move on a compact surface in 3-space. Moreover, geometric properties are found which allows for stationary and uniformly distributed wave functions to exist on the surface.

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Vicent Gimeno i Garcia, Steen Markvorsen. 2023-02-14. Energy Spectrum of a constrained Quantum Particle and the Willmore Energy of the constraining Surface. https://doi.org/10.4310/atmp.2023.v27.n8.a3.

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