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arXiv · 2508.21528

Quantum Well in Fractional Quantum Mechanics

Nick Laskin
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Abstract

Within the framework of fractional quantum mechanics, an exact solution has been found for the energy spectrum of a quantum particle confined in a quantum well - a symmetric one-dimensional finite potential well. A simple graphical algorithm is described for obtaining the number of discrete levels in a quantum well and their associated energy values. The presented results open up new possibilities for emulating fractional quantum mechanics using quantum wells.

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Nick Laskin. 2025-08-29. Quantum Well in Fractional Quantum Mechanics. https://arxiv.org/abs/2508.21528

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