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.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics