Contributions to Books:
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,
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
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.