English

Modified Hamiltonian for a particle in an infinite box that includes wall effects

Quantum Physics 2022-03-25 v1

Abstract

We give a modified Hamiltonian for a particle in a box with infinite potential walls that takes into account wall effects. The Hamiltonian is expressed in both the position and momentum representation. In the momentum representation the eigenvalue problem for energy is an integral equation.

Keywords

Cite

@article{arxiv.2203.13200,
  title  = {Modified Hamiltonian for a particle in an infinite box that includes wall effects},
  author = {Leon Cohen and Rafael Sala Mayato and Patrick Laughlin},
  journal= {arXiv preprint arXiv:2203.13200},
  year   = {2022}
}