Numerical aspects of Casimir energy computation in acoustic scattering
- URL: http://arxiv.org/abs/2306.01280v2
- Date: Thu, 4 Apr 2024 14:27:45 GMT
- Title: Numerical aspects of Casimir energy computation in acoustic scattering
- Authors: Xiaoshu Sun, Timo Betcke, Alexander Strohmaier,
- Abstract summary: computing the Casimir force and energy between objects is a classical problem of quantum theory going back to the 1940s.
We 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.
- Score: 44.99833362998488
- License: http://creativecommons.org/licenses/by/4.0/
- 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.
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