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A trace formula for schrödinger operators with step potentials
Published online by Cambridge University Press: 17 February 2009
Abstract
This paper shows how to compute the trace of G(T) – G(T0), where G is an infinitely differentiable function with compact support, and where T and T0 are one-dimensional Schrödinger operators on (−∞, ∞) with potentials q and q0. It is assumed that q0 is a simple step potential and that q decays exponentially to q0. The trace is expressed in terms of the reflection and transmission coefficients for the scattering of plane waves by the potential q.
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- Copyright © Australian Mathematical Society 1982
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