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In its simplest manifestation, the Casimir effect is a quantum force of attraction between two parallel uncharged conducting plates. More generally, it refers to the interaction - which may be either attractive or repulsive - between material bodies due to quantum fluctuations in whatever fields are relevant. It is a local version of the van der Waals force between molecules. Its sweep ranges from perhaps its being the origin of the cosmological constant to its being responsible for the confinement of quarks. This monograph develops the theory of such forces, based primarily on physically tr

Casimir effect. --- Electric fields. --- Casimir force --- Casimir forces --- Effect, Casimir --- Force, Casimir --- Electric fields --- Vacuum polarization --- Zero-point field --- Field theory (Physics) --- Electromagnetic fields

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Casimir effect. --- 530.19 --- 530.19 Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc. --- Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc. --- Casimir effect --- Casimir force --- Casimir forces --- Effect, Casimir --- Force, Casimir --- Electric fields --- Vacuum polarization --- Zero-point field --- Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc

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This volume contains the proceedings of the conference "Casimir Force, Casimir Operators and the Riemann Hypothesis - Mathematics for Innovation in Industry and Science" held in November 2009 in Fukuoka (Japan). The motive for the conference was the celebration of the 100th birthday of Casimir and the 150th birthday of the Riemann hypothesis. The conference focused on the following topics: Casimir operators in harmonic analysis and representation theory Number theory, in particular zeta functions and cryptography Casimir force in physics and its relation with nano-science Mathematical biology Importance of mathematics for innovation in industry The latter topic was inspired both by the call for innovation in industry worldwide and by the fact that Casimir, who was the director of Philips research for a long time in his career, had an outspoken opinion on the importance of fundamental science for industry. These proceedings are of interest both to research mathematicians and to those interested in the role science, and in particular mathematics, can play in innovation in industry.

Casimir effect --- Research --- Research, Industrial --- Technological innovations --- Breakthroughs, Technological --- Innovations, Industrial --- Innovations, Technological --- Technical innovations --- Technological breakthroughs --- Technological change --- Creative ability in technology --- Inventions --- Domestication of technology --- Innovation relay centers --- Technology transfer --- Contract research --- Industrial research --- Engineering experiment stations --- Science --- Science research --- Scientific research --- Information services --- Learning and scholarship --- Methodology --- Research teams --- Casimir force --- Casimir forces --- Effect, Casimir --- Force, Casimir --- Electric fields --- Vacuum polarization --- Zero-point field --- Mathematical models --- Fukuoka <2009> --- Casimir Operators. --- Mathematical Biology. --- Mathematics in Industry. --- Number Theory.

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Casimir effects serve as primary examples of directly observable manifestations of the nontrivial properties of quantum fields, and as such are attracting increasing interest from quantum field theorists, particle physicists, and cosmologists. Furthermore, though very weak except at short distances, Casimir forces are universal in the sense that all material objects are subject to them. They are thus also an increasingly important part of the physics of atom-surface interactions, while in nanotechnology they are being investigated not only as contributors to ‘stiction’ but also as potential mechanisms for actuating micro-electromechanical devices.   While the field of Casimir physics is expanding rapidly, it has reached a level of maturity in some important respects: on the experimental side, where most sources of imprecision in force measurements have been identified as well as on the theoretical side, where, for example, semi-analytical and numerical methods for the computation of Casimir forces between bodies of arbitrary shape have been successfully developed. This book is, then, a timely and comprehensive guide to the essence of Casimir (and Casimir-Polder) physics that will have lasting value, serving the dual purpose of an introduction and reference to the field. While this volume is not intended to be a unified textbook, but rather a collection of largely independent chapters written by prominent experts in the field, the detailed and carefully written articles adopt a style that should appeal to non-specialist researchers in the field as well as to a broader audience of graduate students.

Physics --- Physical Sciences & Mathematics --- Atomic Physics --- Casimir effect. --- Casimir force --- Casimir forces --- Effect, Casimir --- Force, Casimir --- Physics. --- Quantum physics. --- Quantum optics. --- Nanoscale science. --- Nanoscience. --- Nanostructures. --- Surfaces (Physics). --- Interfaces (Physical sciences). --- Thin films. --- Quantum Physics. --- Quantum Optics. --- Nanoscale Science and Technology. --- Surface and Interface Science, Thin Films. --- Electric fields --- Vacuum polarization --- Zero-point field --- Quantum theory. --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Mechanics --- Thermodynamics --- Films, Thin --- Solid film --- Solid state electronics --- Solids --- Surfaces (Technology) --- Coatings --- Thick films --- Surface chemistry --- Surfaces (Physics) --- Nanoscience --- Nano science --- Nanoscale science --- Nanosciences --- Science --- Optics --- Photons --- Quantum theory

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This reprint, which was edited by Prof. Dr. Nazar R. Ikhsanov, Prof. Dr. Galina L. Klimchitskaya, and Prof. Dr. Vladimir M. Mostepanenko, contains research and review articles published in a Special Issue of the journal Universe in memory of outstanding astrophysicist Prof. Dr. Yuri N. Gnedin, who organized and led the Department of Astrophysics at the famous Pulkovo Observatory of the Russian Academy of Sciences for several decades. In these articles, the reader will find new and intriguing ideas in several topical problems of astrophysics as well as comprehensive and readily accessible sketches of a few recently performed investigations.

Research & information: general --- Physics --- accretion disks --- magnetic fields --- polarization --- active galactic nuclei --- supermassive black holes --- dark matter axions --- non-Newtonian gravity --- measurements of the Casimir force --- hypothetical particles --- neutron stars --- radiation transfer --- dark energy --- dark matter --- Hubble constant --- numerical simulation --- magnetic hydrodynamics (MHD) --- hot Jupiters --- magnetic field --- chemically peculiar stars --- observation --- Herbig Ae/Be stars --- disk accretion --- magnetosphere --- individual: HD 10141 --- HD 259431 --- HD 104237 --- HD 37806 --- close binaries --- black holes --- evolution of binary stars --- fast blue optical transients --- non-thermal particle acceleration --- particle-in-cell plasma modeling --- high energy cosmic rays --- brown dwarf --- X-ray emission --- microwave radiation --- magnetic loops --- particle acceleration --- magnetars stars --- X-rays and stars --- star atmospheres --- plasmas --- scattering --- radiative transfer --- protoplanetary disk --- scattered radiation --- linear polarization --- UX Ori stars --- RW Aur --- accretion disks --- magnetic fields --- polarization --- active galactic nuclei --- supermassive black holes --- dark matter axions --- non-Newtonian gravity --- measurements of the Casimir force --- hypothetical particles --- neutron stars --- radiation transfer --- dark energy --- dark matter --- Hubble constant --- numerical simulation --- magnetic hydrodynamics (MHD) --- hot Jupiters --- magnetic field --- chemically peculiar stars --- observation --- Herbig Ae/Be stars --- disk accretion --- magnetosphere --- individual: HD 10141 --- HD 259431 --- HD 104237 --- HD 37806 --- close binaries --- black holes --- evolution of binary stars --- fast blue optical transients --- non-thermal particle acceleration --- particle-in-cell plasma modeling --- high energy cosmic rays --- brown dwarf --- X-ray emission --- microwave radiation --- magnetic loops --- particle acceleration --- magnetars stars --- X-rays and stars --- star atmospheres --- plasmas --- scattering --- radiative transfer --- protoplanetary disk --- scattered radiation --- linear polarization --- UX Ori stars --- RW Aur