Unifying Theory for Casimir Forces: Bulk and Surface Formulations
| Autor: | Giuseppe Bimonte, Thorsten Emig |
|---|---|
| Přispěvatelé: | Bimonte, G., Emig, T., Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS), Centre National de la Recherche Scientifique (CNRS)-Université Paris-Sud - Paris 11 (UP11) |
| Rok vydání: | 2021 |
| Předmět: |
Surface (mathematics)
Path integral Casimir force General Physics and Astronomy FOS: Physical sciences QC793-793.5 fluctuation induced interactions 01 natural sciences Quantization (physics) symbols.namesake operator: surface 0103 physical sciences numerical methods Stress tensor 010306 general physics Physics force: Casimir Quantum Physics Hamiltonian formalism 010308 nuclear & particles physics fluctuation [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] Numerical analysis scattering Elementary particle physics Maxwell stress tensor free energy Connection (mathematics) Casimir effect Classical mechanics electromagnetic casimir forces Fluctuation induced interaction tensor: energy-momentum Path integral formulation Lifshitz symbols quantization: path integral Hamiltonian (quantum mechanics) Quantum Physics (quant-ph) |
| Zdroj: | Universe Universe, 2021, 7 (7), pp.225. ⟨10.3390/universe7070225⟩ Volume 7 Issue 7 Universe, Vol 7, Iss 225, p 225 (2021) |
| DOI: | 10.48550/arxiv.2108.07112 |
| Popis: | The principles of the electromagnetic fluctuation-induced phenomena such as Casimir forces are well understood. However, recent experimental advances require universal and efficient methods to compute these forces. While several approaches have been proposed in the literature, their connection is often not entirely clear, and some of them have been introduced as purely numerical techniques. Here we present a unifying approach for the Casimir force and free energy that builds on both the Maxwell stress tensor and path integral quantization. The result is presented in terms of either bulk or surface operators that describe corresponding current fluctuations. Our surface approach yields a novel formula for the Casimir free energy. The path integral is presented both within a Lagrange and Hamiltonian formulation yielding different surface operators and expressions for the free energy that are equivalent. We compare our approaches to previously developed numerical methods and the scattering approach. The practical application of our methods is exemplified by the derivation of the Lifshitz formula. Comment: 37 pages, 2 figures |
| Databáze: | OpenAIRE |
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