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Quantum Well in Fractional Quantum Mechanics

Published 29 Aug 2025 in quant-ph, math-ph, and math.MP | (2508.21528v1)

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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Authors (1)

  1. Nick Laskin 

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