Zero resonances for localised potentials

V. Georgiev; J. Wirth

doi:10.1063/1.5027717

Zero resonances for localised potentials

V. Georgiev, J. Wirth

Graduate School of Advanced Science and Engineering

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

This paper considers Hamiltonians with localised potentials and gives a variational characterisation of resonant coupling parameters, which allow us to provide estimates for the first resonant parameter and in turn also to provide bounds for resonant free regions. As an application, we provide a constructive approach to calculate the first resonant parameter for Yukawa type potentials in R3.

Original language	English
Article number	071502
Journal	Journal of Mathematical Physics
Volume	59
Issue number	7
DOIs	https://doi.org/10.1063/1.5027717
Publication status	Published - 2018 Jul 1

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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author = "V. Georgiev and J. Wirth",

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N2 - This paper considers Hamiltonians with localised potentials and gives a variational characterisation of resonant coupling parameters, which allow us to provide estimates for the first resonant parameter and in turn also to provide bounds for resonant free regions. As an application, we provide a constructive approach to calculate the first resonant parameter for Yukawa type potentials in R3.

AB - This paper considers Hamiltonians with localised potentials and gives a variational characterisation of resonant coupling parameters, which allow us to provide estimates for the first resonant parameter and in turn also to provide bounds for resonant free regions. As an application, we provide a constructive approach to calculate the first resonant parameter for Yukawa type potentials in R3.

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Zero resonances for localised potentials

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