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A chart for the energy levels of the square quantum well

General Physics 2017-10-31 v2

Abstract

A chart for the quantum mechanics of a particle of mass mm in a one-dimensional potential well of width ww and depth V0V_0 is derived. The chart is obtained by normalizing energy and potential through multiplication by 8mw2/h2{8 m}{w^2} / h^2, and gives directly the allowed couples (potential, energy), providing insights on the relation between the parameters and the number of allowed energy levels.

Keywords

Cite

@article{arxiv.1610.04468,
  title  = {A chart for the energy levels of the square quantum well},
  author = {M. Chiani},
  journal= {arXiv preprint arXiv:1610.04468},
  year   = {2017}
}