H. Winkler, H. Woracek:

"Reparametrizations of non trace-normed Hamiltonians";

in: "ASC Report 08/2011", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2011, ISBN: 978-3-902627-04-9.

We consider a Hamiltonian system of the form y0(x) = JH(x)y(x), with a

locally integrable and nonnegative 2×2-matrix valued Hamiltonian H(x).

In the literature dealing with the operator theory of such equations, it is

often required in addition that the Hamiltonian H is trace-normed, i.e.

satisfies trH(x) 1. However, in many examples this property does not

hold. The general idea is that one can reduce to the trace-normed case by

applying a suitable change of scale (reparametrization). In this paper we

justify this idea and work out the notion of reparametrization in detail.

Hamiltonian system, reparametrization, trace-normed

http://www.asc.tuwien.ac.at/preprint/2011/asc08x2011.pdf

Created from the Publication Database of the Vienna University of Technology.