Sturm intersection theory for periodic Jacobi matrices and linear Hamiltonian systems
Mathematical Physics
2016-10-28 v1 math.MP
Abstract
Sturm-Liouville oscillation theory for periodic Jacobi operators with matrix entries is discussed and illustrated. The proof simplifies and clarifies the use of intersection theory of Bott, Maslov and Conley-Zehnder. It is shown that the eigenvalue problem for linear Hamiltonian systems can be dealt with by the same approach.
Keywords
Cite
@article{arxiv.1105.6219,
title = {Sturm intersection theory for periodic Jacobi matrices and linear Hamiltonian systems},
author = {Hermann Schulz-Baldes},
journal= {arXiv preprint arXiv:1105.6219},
year = {2016}
}