English

Solving the two dimensional Schr\"odinger equation using basis truncation: a controversial case

Quantum Physics 2016-05-12 v1

Abstract

Solutions of the Schr\"odinger equation by spanning the wave function is a complete basis is a common practice is many-body interacting systems. We shall study the case of a two-dimensional quantum system composed by two interacting spin-less electrons and see that the correctness of the matrix approach depends inexplicably on the type of interaction existing between particles.

Keywords

Cite

@article{arxiv.1605.03343,
  title  = {Solving the two dimensional Schr\"odinger equation using basis truncation: a controversial case},
  author = {J. Batle},
  journal= {arXiv preprint arXiv:1605.03343},
  year   = {2016}
}

Comments

Manuscript rejected from pedagogical physics journals (with a colorful spectrum of answers). Comments are welcome

R2 v1 2026-06-22T13:58:13.719Z