Sturm intersection theory for periodic Jacobi matrices and linear Hamiltonian systems

Details Sturm intersection theory for periodic Jacobi matrices and linear Hamiltonian systems Sturm intersection theory for periodic Jacobi matrices and linear Hamiltonian systems

2011-05-31

arxiv.org/abs/1105.6219v1

Physics

Mathematical Physics

Scientific paper

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.

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