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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2306.01280 |
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| _version_ | 1866909160598142976 |
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| author | Sun, Xiaoshu Betcke, Timo Strohmaier, Alexander |
| author_facet | Sun, Xiaoshu Betcke, Timo Strohmaier, Alexander |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_01280 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Numerical aspects of Casimir energy computation in acoustic scattering Sun, Xiaoshu Betcke, Timo Strohmaier, Alexander Quantum Physics Mathematical Physics 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. |
| title | Numerical aspects of Casimir energy computation in acoustic scattering |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2306.01280 |