The Casimir effect and its applications

The Casimir effect is analyzed. This effect consists of a polarization of the vacuum of quantized fields which arises as a result of a change in the spectrum of vacuum oscillations when the quantization volume is bounded or the topology of the space is non-Euclidean. Calculations of the effect for manifolds of various configurations and for fields with various spins are reported. Various definitions of the Casimir vacuum energy in the presence of walls are discussed. The quantum field theory of Casimir forces is generalized to incorporate the dispersion properties of the medium. Applications of the Casimir effect in various branches of physics are reviewed: from the theory of molecular forces to cosmology and elementary particle physics, including the bag model and supersymmetry.

PACS: 12.20.Ds, 11.10.Kk, 02.40.Sf, 98.80.Cq, 12.39.Ba, 11.30.Pb (all)
DOI: 10.1070/PU1988v031n11ABEH005641
URL: https://ufn.ru/en/articles/1988/11/a/
Citation: Mostepanenko V M, Trunov N N "The Casimir effect and its applications" Sov. Phys. Usp. 31 965–987 (1988)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Мостепаненко В М, Трунов Н Н «Эффект Казимира и его приложения» УФН 156 385–426 (1988); DOI: 10.3367/UFNr.0156.198811a.0385

References (104) Cited by (126) Similar articles (20) ↓

Yu.S. Barash, V.L. Ginzburg “Electromagnetic fluctuations in matter and molecular (Van-der- Waals) forces between them” 18 305–322 (1975)
I.E. Dzyaloshinskii, E.M. Lifshitz, L.P. Pitaevskii “General theory of van der Waals’ forces” 4 153–176 (1961)
Yu.S. Barash, V.L. Ginzburg “Some problems in the theory of van der Waals forces” 27 467–491 (1984)
Ya.B. Zel’dovich “The cosmological constant and the theory of elementary particles” 11 381–393 (1968)
B.M. Barbashov, V.V. Nesterenko “Superstrings: a new approach to a unified theory of fundamental interactions” 29 1077–1096 (1986)
V.S. Popov “Tunnel and multiphoton ionization of atoms and ions in a strong laser field (Keldysh theory)” 47 855–885 (2004)
Yu.L. Klimontovich “Nonlinear Brownian motion” 37 737–766 (1994)
I.V. Krive, A.S. Rozhavskii “Fractional charge in quantum field theory and solid-state physics” 30 370–392 (1987)
V.V. Nesvizhevsky “Near-surface quantum states of neutrons in the gravitational and centrifugal potentials” 53 645–675 (2010)
S.V. Popruzhenko, A.M. Fedotov “Dynamics and radiation of charged particles in ultra-intense laser fields” 66 460–493 (2023)
V.A. Matveev, V.A. Rubakov et al “Nonconservation of baryon number under extremal conditions” 31 916–939 (1988)
E.A. Vinogradov “Semiconductor microcavity polaritons” 45 1213–1250 (2002)
A.I. Volokitin, B.N.J. Persson “Radiative heat transfer and noncontact friction between nanostructures” 50 879–906 (2007)
E.A. Vinogradov, I.A. Dorofeyev “Thermally stimulated electromagnetic fields of solids” 52 425–459 (2009)
M.I. Vysotskii “Supersymmetric models of elementary particles—the physics for new-generation accelerators?” 28 667–693 (1985)
A.G. Polnarev, M.Yu. Khlopov “Cosmology, primordial black holes, and supermassive particles” 28 213–232 (1985)
K.G. Selivanov “Counting vacua in supersymmetric Yang-Mills theory” 45 675–686 (2002)
V.G. Gorshkov “Electrodynamic processes in colliding beams of high-energy particles” 16 322–338 (1973)
V.N. Rudenko, S.I. Oreshkin, K.V. Rudenko “Measuring global gravity-inertial effects with ring laser interferometers” 65 920–951 (2022)
M.A. Shifman “Anomalies and low-energy theorems of quantum chromodynamics” 32 289–309 (1989)

The list is formed automatically.