Geometry of Weyl theory for Jacobi matrices with matrix entries

Details Geometry of Weyl theory for Jacobi matrices with matrix entries Geometry of Weyl theory for Jacobi matrices with matrix entries

2008-04-23

arxiv.org/abs/0804.3746v1

Physics

Mathematical Physics

Scientific paper

A Jacobi matrix with matrix entries is a self-adjoint block tridiagonal matrix with invertible blocks on the off-diagonals. The Weyl surface describing the dependence of Green's matrix on the boundary conditions is interpreted as the set of maximally isotropic subspace of a quadratic from given by the Wronskian. Analysis of the possibly degenerate limit quadratic form leads to the limit point/limit surface theory of maximal symmetric extensions for semi-infinite Jacobi matrices with matrix entries with arbitrary deficiency indices. The resolvent of the extensions is explicitly calculated.

Affiliated with

Also associated with

No associations

Rating

Geometry of Weyl theory for Jacobi matrices with matrix entries does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Geometry of Weyl theory for Jacobi matrices with matrix entries, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometry of Weyl theory for Jacobi matrices with matrix entries will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-105230