English

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

Quantum Physics 2024-03-15 v1

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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Cite

@article{arxiv.2403.09590,
  title  = {Matrix Mechanics of a Particle in a One-Dimensional Infinite Square Well},
  author = {Vlatko Vedral},
  journal= {arXiv preprint arXiv:2403.09590},
  year   = {2024}
}

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3 pages no figures