Abstract
Casimir forces are associated with topological constraints on quantum fields. The most famous such effect was predicted in 1948 by Casimir, who found that there is an attractive force
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Casimir, H.B.G.: On the attraction between two perfectly conducting plates. Proc. K. Ned. Akad. Wet. 51, 793 (1948)
Lifshitz, E.M.: The theory of molecular attractive forces between solids. Sov. Phys. JETP 2, 73 (1956)
London, F.: Theory and system of molecular forces. Z. Phys. 63, 245 (1930)
See, for instance, V. A. Parsegian, Van der Waals Forces: A Handbook for Biologists, Chemists, Engineers, and Physicists (Cambridge University Press, N. Y., 2006).
Verwey, E.J.W., Overbeek, J.T.G.: Theory of the Stability of Lyophobic Colloids. Elsevier, Amsterdam (1948)
Casimir, H.B.G., Polder, D.: The influence of retardation on the London-van der Waals forces. Phys. Rev. 73, 360 (1948)
Langmuir, I.: Role of attractive and repulsive forces in formation of tactoids, thixotropic gels, protein crystals and coacervates. J. Chem. Phys. 6, 873 (1938)
Casimir, H.B.G.: Communication to P.W. Milonni, 12 March (1992)
Some of Einstein’s work related to zero-point energy is reviewed in P.W. Milonni, The Quantum Vacuum. An Introduction to Quantum Electrodynamics (Academic, San Diego, 1994).
Gearhart, C.A.: ‘Astonishing successes’ and ‘bitter disappointment’: The specific heat of hydrogen in quantum theory. Arch. Hist. Exact Sci. 64, 113 (2010)
Mulliken, R.S.: The band spectrum of boron monoxide. Nature 114, 349 (1924)
Stenger, J., Inouye, S., Chikkatur, A.P., Stamper-Kurn, D.M., Pritchard, D.E., Ketterle, W.: Bragg spectroscopy of a Bose-Einstein condensate. Phys. Rev. Lett. 82, 4569 (1999)
See, for instance, Milonni, P.W., Schaden, M., Spruch, L.: The Lamb shift of an atom in a dielectric medium. Phys. Rev. A 59, 4259 (1999) and references therein
See, for example, Reference [9] and references therein
Spruch, L.L., Kelsey, E.J.: Vacuum fluctuation and retardation effects in long-range potentials. Phys. Rev. A. 18, 845 (1978)
Feinberg, G., Sucher, J.J., Au, C.K.: The dispersion theory of dispersion forces. Phys. Rep. 180, 83 (1978)
Itzykson, C., Zuber, J.-B.: Quantum Field Theory, pp. 141. McGraw-Hill, N.Y. (1980)
Rosa, F.S.S., Dalvit, D.A.R., Milonni, P.W.: Electromagnetic energy, absorption, and Casimir forces: Uniform dielectric media in thermal equilibrium. Phys. Rev. A. 81, 033812 (2010)
Rosa, F.S.S., Dalvit, D.A.R., Milonni, P.W.: to be submitted for publication. Expressions equivalent to (37) but with different choices for the definition of the Green dyadic may be found, for instance, in T. Gruner and D.-G. Welsch, Green-function approach to the radiation-field quantization for homogeneous and inhomogeneous Kramers-Kronig dielectrics. Phys. Rev. A 53, 1818 (1996) and M.S. Tomas, Casimir force in absorbing monolayers. Phys. Rev. A 66, 052103 (2002)
Dzyaloshinskii, I.E., Pitaevskii, L.P.: Van der Waals forces in an inhomogeneous dielectric. Sov. Phys. JETP 9, 1282 (1959)
Dzyaloshinskii, I.E., Lifshitz, E.M., Pitaevskii, L.P.: The general theory of van der Waals forces. Adv. Phys. 10, 165 (1961)
See also A.A. Abrikosov, L.P. Gorkov, I.E. Dzyaloshinskii, Methods of Quantum Field Theory in Statistical Physics (Dover, N.Y., 1975)
Schwinger, J., DeRaad, L.L. Jr., Milton, K.A.: Casimir effect in dielectrics. Ann. Phys. (N.Y.) 115, 1 (1978)
Axilrod, B.M., Teller, E.: Interaction of the van der Waals type between three atoms. J.Chem. Phys. 11, 299 (1943)
van Kampen, N.G., Nijboer, B.R.A., Schram, K.: On the macroscopic theory of van der Waals forces. Phys. Lett. 26, 307 (1968)
See, for instance, Reference [9], Sect. 8.3.
Sabisky, E.S., Anderson, C.H.: Verification of the Lifshitz theory of the van der Waals potential using liquid-helium films. Phys. Rev. A 7, 790 (1973)
Kats, E.I.: Influence of nonlocality effects on van der Waals interaction. Sov. Phys. JETP 46, 109 (1977)
For a detailed review of the scattering approach see, for instance, the chapters by A. Lambrecht et al and S.J. Rahi et al in this volume
Derjaguin, B.V., Rabinovich, Y.I., Churaev, N.V.: Direct measurement of molecular forces. Nature 272, 313 (1978) and references therein to related work of Derjaguin et al
It should be noted that Bressi et al managed to measure with about 15% precision the Casimir force between (nearly) parallel metallic plates: G. Bressi, G. Carugno, R. Onofrio, and G. Ruoso, “Measurement of the Casimir force between parallel metallic surfaces," Phys. Rev. Lett. 88, 041804 (2002)
Krause, D.E., Decca, R.S., López, D., Fischbach, E.: Experimental investigation of the Casimir force beyond the proximity-force approximation. Phys. Rev. Lett. 98, 050403 (2007)
Sparnaay, M.J.: The historical background of the Casimir effect. In: Sarlemijn, A., Sparnaay, M.J. (eds) Physics in the Making, Elsevier, Amsterdam (1989)
Sparnaay, M.J.: Attractive forces between flat plates. Nature 180, 334 (1957)
Sparnaay, M.J: Measurements of attractive forces between flat plates. Physica 24, 751 (1958)
Lamoreaux, S.: Demonstration of the Casimir force in the 0.6 to 6 \(\mu \,\hbox{m}\) range. Phys. Rev. Lett. 78, 5 (1997)
See also S. Lamoreaux, The Casimir force: background, experiments, and applications. Rep. Prog. Phys. 68, 201 (2005) and “Casimir forces: Still surprising after 60 years," Physics Today (February, 2007), 40-45
Mohideen, U., Roy, A.: Precision measurement of the Casimir force from 0.1 to 0.9 \(\mu \,\hbox{m}\). Phys. Rev. Lett. 81, 4549 (1998)
See also M. Bordag, U. Mohideen, V.M. Mostepanenko, “New developments in the Casimir effect," Phys. Rep. 353, 1 (2001)
Bordag, M., Klimchitskaya, G.L., Mohideen, U., Mostepanenko, V.M.: Advances in the Casimir Effect. Oxford University Press, N.Y. (2009)
Chan, H.B., Aksyuk, V.A., Kleiman, R.N., Bishop, D.J., Capasso, F.: Quantum mechanical actuation of microelectromechanical systems by the Casimir force. Science 291, 1941 (2001)
Chan, H.B., Aksyuk, V.A., Kleiman, R.N., Bishop, D.J., Capasso, F.: Nonlinear micromechanical Casimir oscillator. Phys. Rev. Lett. 87, 211801 (2001)
Decca, R.S., López, D., Fischbach, E., Krause, D.E.: Measurement of the Casimir force between dissimilar metals. Phys. Rev. Lett. 91, 504021 (2003)
de Man, S., HeeckK. Wijngaarden, R.J., Iannuzzi, D.: Halving the Casimir force with conductive oxides. Phys. Rev. Lett. 103, 040402 (2009)
de Man, S., Heeck, K., Smith, K., Wijngaarden, R.J., Iannuzzi, D.: Casimir force measurements in air: two birds with one stone. Int. J. Mod. Phys. A 25, 2231 (2010)
Sukenik, C.I., Boshier, M.G., Cho, D., Sandoghar, V., Hinds, E.A.: Measurement of the Casimir-Polder force. Phys. Rev. Lett. 70, 560 (1993)
See for instance A.A. Feiler, L. Bergstrom, M.W. Rutland, “Superlubricity using repulsive van der Waals forces," Langmuir 24, 2274 (2008), and references therein.
Munday, J.N., Capasso, F., Parsegian, V.A.: Measured long-range Casimir-Lifshitz forces. Nature 457, 170 (2009)
Boyer, T.H.: Van der Waals forces and zero-point energy for dielectric and permeable materials. Phys. Rev. A 9, 2078 (1974)
Feinberg, G., Sucher, J.: General theory of the van der Waals interaction: A model-independent approach. Phys. Rev. A 2, 2395 (1970)
Rosa, F.S.S., Dalvit, D.A.R., Milonni, P.W.: Casimir-Lifshitz theory and metamaterials. Phys. Rev. Lett. 100, 183602 (2008); “Casimir interactions for anisotropic magnetodielectric metamaterials”, Phys. Rev. A 78, 032117 (2008)
Rahi, S.J., Kardar, M., Emig, T.: Constraints on stable equilibria with fluctuation-induced (Casimir) forces. Phys. Rev. Lett. 105, 070404 (2010)
Boyer, T.H.: Quantum zero-point energy and long-range forces. Ann. Phys. (N.Y.) 56, 474 (1970)
Schaden, M.: Semiclassical estimates of electromagnetic Casimir self-energies of spherical and cylindrical metallic shells. Phys. Rev. A 82, 022113 (2010)
See, for instance, Reference [9] and references therein.
Jaffe, R.L.: Casimir effect and the quantum vacuum. Phys. Rev. D. 72, 021301(R) (2005)
Fisher, M.E., de Gennes, P.-G.: Wall phenomena in a critical binary mixture. C.R. Acad. Sci. Paris B. 287, 209 (1978)
Garcia, R., Chan, M.H.W.: Critical Casimir effect near the \(^3\hbox{He}\)-\(^4\hbox{He}\) tricritical point. Phys. Rev. Lett. 88, 086101 (1978)
Hertlein, C., Helden, L., Gambassi, A., Dietrich, S., Bechinger, C.: Direct measurement of critical Casimir forces. Nature 451, 172 (2008)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Dalvit, D.A.R., Milonni, P.W., Roberts, D.C., Rosa, F.S.S. (2011). Introduction. In: Dalvit, D., Milonni, P., Roberts, D., da Rosa, F. (eds) Casimir Physics. Lecture Notes in Physics, vol 834. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20288-9_1
Download citation
DOI: https://doi.org/10.1007/978-3-642-20288-9_1
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-20287-2
Online ISBN: 978-3-642-20288-9
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)