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arXiv · 1803.01813

Zero resonances for localised potentials

Vladimir Georgiev·Jens Wirth
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Abstract

This paper considers Hamiltonians with localised potentials and gives a variational characterisation of resonant coupling parameters, which allow to provide estimates for the first resonant parameter and in turn also to provide bounds for resonant free regions. As application we provide a constructive approach to calculate the first resonant parameter for Yukawa type potentials in $\mathbb R^3$.

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Vladimir Georgiev, Jens Wirth. 2018-06-13. Zero resonances for localised potentials. https://doi.org/10.1063/1.5027717

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