English

On some one-dimensional quantum-mechanical models with a delta-potential interaction

Quantum Physics 2023-06-19 v1

Abstract

We discuss a systematic construction of dimensionless quantum-mechanical equations. The process reduces the number of independent model parameters to a minimum and, at the same time, provides the natural units of length, energy, etc. in a clear, straightforward way. We compare this systematic procedure with the widely adopted one that consists of setting =1\hbar=1. As illustrative examples, we choose some simple one-dimensional models proposed recently for the study of localized states in inhomogeneous media.

Keywords

Cite

@article{arxiv.2306.09371,
  title  = {On some one-dimensional quantum-mechanical models with a delta-potential interaction},
  author = {Francisco M. Fernández},
  journal= {arXiv preprint arXiv:2306.09371},
  year   = {2023}
}
R2 v1 2026-06-28T11:06:24.938Z