Numerical aspects of Casimir energy computation in acoustic scattering

• DOI: 10.1016/j.camwa.2024.06.024
• Publication Date: 2024-07-22T13:28:54Z
• Authors: Xiaoshu Sun; Timo Betcke; Alexander Strohmaier
• Keywords: Quantum Physics; FOS: Physical sciences; Mathematical Physics (math-ph); Quantum Physics (quant-ph); Mathematical Physics

Computing the Casimir force and energy between objects is a classical problem of quantum theory going back to 1940s. Several different approaches have been developed in literature often based on physical principles. Most notably representation terms determinants boundary layer operators makes it accessible numerical approach. In this paper, we first give an overview various methods discuss connection Krein-spectral shift function computational aspects. We propose variants Krylov subspace for computation large-scale problems demonstrate computations several complex configurations. This allows calculation practical significantly speeds up that case.