On the problem of the vanishing discriminant
Quantum Physics
2022-07-07 v1
Abstract
We show that the straightforward application of the discriminant to some physical problems may yield a trivial useless result. If the symmetry of the model matrix does not change with variations of the model parameter the discriminant may vanish for all values of the parameter due to degeneracy. We illustrate this problem by means of a simple matrix representation of an Hermitian Hamiltonian operator.
Cite
@article{arxiv.2207.02298,
title = {On the problem of the vanishing discriminant},
author = {Francisco M. Fernández},
journal= {arXiv preprint arXiv:2207.02298},
year = {2022}
}