English

The Hellmann-Feynman theorem and the spectrum of some Hamiltonian operators

Quantum Physics 2024-08-05 v1

Abstract

In this short note we resort to the well known Hellmann-Feynman theorem to prove that some non-relativistic Hamiltonian operators support an infinite number of bound states.

Keywords

Cite

@article{arxiv.2408.00787,
  title  = {The Hellmann-Feynman theorem and the spectrum of some Hamiltonian operators},
  author = {Paolo Amore and Francisco M. Fernández},
  journal= {arXiv preprint arXiv:2408.00787},
  year   = {2024}
}