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Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials

Roland Donninger

We consider semiclassical Schr"odinger operators on the real line of the form

H(\hbar)=-\hbar^2 \frac{d^2}{dx^2}+V(\cdot;\hbar)

with

\hbar>0

small. The potential

V

is assumed to be smooth, positive and exponentially decaying towards infinity. We e ...

Springer Basel Ag2012

Topologie de la droite réelle

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Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials

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KUL and EPFL cooperation on numerical integration of Sommerfeld integrals.

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Fixed Point Property For Universal Lattice On Schatten Classes

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