On the Rayleigh-Ritz variational method
Quantum Physics
2023-11-07 v4
Abstract
We give a simple proof of the well known fact that the approximate eigenvalues provided by the Rayleigh-Ritz variational method are increasingly accurate upper bounds to the exact ones. To this end, we resort to the variational principle, mentioned in most textbooks on quantum chemistry, and to a well known set of projection operators. We think that present approach may be suitable for an advanced course on quantum mechanics or quantum chemistry.
Keywords
Cite
@article{arxiv.2206.05122,
title = {On the Rayleigh-Ritz variational method},
author = {Francisco M. Fernández},
journal= {arXiv preprint arXiv:2206.05122},
year = {2023}
}