Trace formulas for Schrödinger operators on the half-line

Details Trace formulas for Schrödinger operators on the half-line Trace formulas for Schrödinger operators on the half-line

2011-09-05

arxiv.org/abs/1109.1024v1

Mathematics

Spectral Theory

20 pages

Scientific paper

We study the scattering problem for the Schr\"odinger equation on the
half-line with Robin boundary condition at the origin. We derive an expression
for the trace of the difference of the perturbed and unperturbed resolvent in
terms of a Wronskian. This leads to a representation for the perturbation
determinant and to trace identities of Buslaev-Faddeev type.

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