Numerical aspects of Casimir energy computation in acoustic scattering
Abstract
Computing the Casimir force and energy between objects is a classical problem of quantum theory going back to the 1940s. Several different approaches have been developed in the literature often based on different physical principles. Most notably a representation of the Casimir energy in terms of determinants of boundary layer operators makes it accessible to a numerical approach. In this paper, we first give an overview of the various methods and discuss the connection to the Krein-spectral shift function and computational aspects. We propose variants of Krylov subspace methods for the computation of the Casimir energy for large-scale problems and demonstrate Casimir computations for several complex configurations. This allows for Casimir energy calculation for large-scale practical problems and significantly speeds up the computations in that case.
Keywords
Cite
@article{arxiv.2306.01280,
title = {Numerical aspects of Casimir energy computation in acoustic scattering},
author = {Xiaoshu Sun and Timo Betcke and Alexander Strohmaier},
journal= {arXiv preprint arXiv:2306.01280},
year = {2024}
}