English

Comparisons of Matrices with Different Elements but Identical Eigenvalues

Nuclear Theory 2023-06-27 v2 Nuclear Experiment Quantum Physics

Abstract

We show 2 matrices that have identical eigenvalues but different eigenfunctions. This shows that in obtaining two body nuclear matrix elements empirically, it is not sufficient to consider only energy levels. Other quantities like transitions must also be included.

Cite

@article{arxiv.2305.00811,
  title  = {Comparisons of Matrices with Different Elements but Identical Eigenvalues},
  author = {Daren Sitchepping Fosso and Castaly Fan and Larry Zamick},
  journal= {arXiv preprint arXiv:2305.00811},
  year   = {2023}
}

Comments

International Journal of Modern Physics E (2023)

R2 v1 2026-06-28T10:22:28.447Z