A multipoint perturbation formula for eigenvalue problems

05/14/2023
by   Genevieve Dusson, et al.
0

Standard perturbation theory of eigenvalue problems consists of obtaining approximations of eigenmodes in the neighborhood of a Hamiltonian where the corresponding eigenmode is known. Nevertheless, if the corresponding eigenmodes of several nearby Hamiltonians are known, standard perturbation theory cannot simultaneously use all this knowledge to provide a better approximation. We derive a formula enabling such an approximation result, and provide numerical examples for which this method is more competitive than standard perturbation theory.

READ FULL TEXT

Please sign up or login with your details

Forgot password? Click here to reset