Matrix Mechanics of a Particle in a One-Dimensional Infinite Square Well

2024/03/14 by Vlatko Vedral, Vedral, Vlatko
Engineering · #FOS: Physical sciences #Field-Flow Fractionation Techniques #Geotechnical and Geomechanical Engineering #Mineral Processing and Grinding #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2403.09590

openalex publication_date 2024/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We solve the infinite potential well problem using the methods of Heisenberg's matrix mechanics. In addition to being of educational value, the matrix mechanics allows us to deal with various unphysical issues caused by this potential in a seemingly unproblematic fashion. We also show how to treat many particles within this representation.

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