A chart for the energy levels of the square quantum well

2016/09/30 by Marco Chiani, Chiani, M.
Chemistry · Materials Science · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Chemical and Physical Properties of Materials #FOS: Physical sciences #General Physics (physics.gen-ph) #Quantum Mechanics and Applications

paper · pdf · doi:10.48550/arxiv.1610.04468

openalex publication_date 2016/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A chart for the quantum mechanics of a particle of mass m in a one-dimensional potential well of width w and depth V₀ is derived. The chart is obtained by normalizing energy and potential through multiplication by 8 mw² / h², and gives directly the allowed couples (potential, energy), providing insights on the relation between the parameters and the number of allowed energy levels.

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