Advances in the Casimir Effect
Abstract
The subject of this book is the Casimir effect, i.e., a manifestation of zero-point oscillations of the quantum vacuum in the form of forces acting between closely spaced bodies. It is a purely quantum effect. There is no force acting between neutral bodies in classical electrodynamics. The Casimir effect has become an interdisciplinary subject. It plays an important role in various fields of physics such as condensed matter physics, quantum field theory, atomic and molecular physics, gravitation and cosmology, and mathematical physics. Most recently, the Casimir effect has been applied to nanotechnology and for obtaining constraints on the predictions of unification theories beyond the Standard Model. The book assembles together the field-theoretical foundations of this phenomenon, the application of the general theory to real materials, and a comprehensive description of all recently performed measurements of the Casimir force, including the comparison between experiment and theory. There is increasing interest in forces of vacuum origin. Numerous new results have been obtained during the last few years which are not reflected in the literature, but are very promising for fundamental science and nanotechnology. The book provides a source of information which presents a critical assessment of all of the main results and approaches contained in published journal papers. It also proposes new ideas which are not yet universally accepted but are finding increasing support from experiment.
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The Casimir energy on a one-dimensional space with periodic boundary conditions, namely a circle, is known.
“It is easier to start by computing the Casimir energy on a one-dimensional space with periodic boundary conditions, namely a circle. The result for it is known (see [1])”
From Double-well instantons in finite volume (2024) · cites this paper as [1]
The quantisation of energy levels in finite volume leads to the Casimir effect.
“The first feature leads to the known Casimir effect (see [1] for a review)”
From Double-well instantons in finite volume (2024) · cites this paper as [1]
The result for the Casimir energy is completely independent of the regulator.
“As explained in [1], we never need to state our regulator explicitly, as we will find a result that is completely independent of it.”
From Double-well instantons in finite volume (2024) · cites this paper as [1]
The function can be written in terms of modified Bessel functions of the second type.
“The function above can also be written in terms of modified Bessel functions of the second type [1]”
From Double-well instantons in finite volume (2024) · cites this paper as [1]
Cites
Inflationary universe: A possible solution to the horizon and flatness problems
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A new type of isotropic cosmological models without singularity
Starobinsky, A. A. (1980) · Physics Letters B · doi:10.1016/0370-2693(80)90670-x · Cited by 7,677 · see citing works
The combination of estimates from different experiments
Cochran, W. G. (1954) · Biometrics · doi:10.2307/3001666 · Cited by 5,380 · see citing works
Chodos, A., Jaffe, R. L., Johnson, K., Thorn, C. B., & Weisskopf, V. F. (1974) · Physical Review D · doi:10.1103/physrevd.9.3471 · Cited by 2,670 · see citing works
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Double-well instantons in finite volume
Ai, W.-Y., Alexandre, J., Carosi, M., Garbrecht, B., & Pla, S. (2024) · Journal of High Energy Physics · doi:10.1007/jhep05(2024)099 · Cited by 6 · see citing works
- Authors
- Bordag, M., Klimchitskaya, G. L., Mohideen, U., & Mostepanenko, V. M.
- Affiliations
- Center of Theoretical Studies and Institute for Theoretical Physics, Leipzig University, Germany
- Leipzig University (DE)
- University of California, Riverside (US)
- Publisher
- Oxford University PressOxford
- Published
- 2009-05-28
- OpenAlex
- W1671022230
- Cited by
- 1,284
- References
- 4
- Citations by year
- 2026: 25 · 2025: 54 · 2024: 64 · 2023: 54 · 2022: 56 · 2021: 98 · 2020: 70 · 2019: 79 · 2018: 69 · 2017: 78 · 2016: 101 · 2015: 78 · 2014: 91 · 2013: 81 · 2012: 91
- FWCI
- 30.97
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Electrodynamics and Casimir Effect
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- Casimir effect, quantum vacuum, zero-point vibrations, Casimir force, vacuum forces, quantum field theory, Casimir force measurement, nanotechnology, unified theory, beyond the Standard Model, quantum electrodynamics
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