English

On the exact solutions of a one-dimensional Schr\"odinger equation with a rational potential

Quantum Physics 2024-10-22 v1

Abstract

We analyse the exact solutions of a conditionally-solvable Schr\"odinger equation with a rational potential. From the nodes of the exact eigenfunctions we derive a connection between the otherwise isolated exact eigenvalues and the actual eigenvalues of the Hamiltonian operator.

Keywords

Cite

@article{arxiv.2410.15456,
  title  = {On the exact solutions of a one-dimensional Schr\"odinger equation with a rational potential},
  author = {Francisco M. Fernández},
  journal= {arXiv preprint arXiv:2410.15456},
  year   = {2024}
}