Quantum Well in Fractional Quantum Mechanics

• URL: http://arxiv.org/abs/2508.21528v1
• Date: Fri, 29 Aug 2025 11:36:55 GMT
• Title: Quantum Well in Fractional Quantum Mechanics
• Authors: Nick Laskin,
• Abstract summary: An exact solution has been found for the energy spectrum of a quantum particle confined in a quantum well.<n>A simple graphical algorithm is described for obtaining the number of discrete levels in a quantum well.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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