By Bordag M., Klimchitskaya G.L., Mohideen U., Mostepanenko V.M.
The topic of this e-book is the Casimir influence, a manifestation of zero-point oscillations of the quantum vacuum leading to forces appearing among heavily spaced our bodies. For the good thing about the reader, the publication assembles field-theoretical foundations of this phenomenon, purposes of the overall concept to actual fabrics, and a accomplished description of all lately played measurements of the Casimir strength with a comparability among scan and conception. there's an pressing want for a e-book of this kind, given the rise of curiosity in forces originating from the quantum vacuum. a variety of new effects were received within the previous few years which aren't mirrored in earlier books at the topic, yet that are very promising for basic technological know-how and nanotechnology. The ebook is a different resource of knowledge offering a serious evaluation of the entire major effects and ways from hundreds and hundreds of magazine papers. It additionally outlines new principles that have no longer but been universally permitted yet that are discovering expanding aid from test.
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Additional resources for Advances in the Casimir Effect
18). 19) may vanish. 20) which is called the Lorentz gauge. 20) is satisﬁed. Functions belonging to this set diﬀer from one another by a function φ0 satisfying the equation ✷φ0 = 0. 19) takes the simplest form, ✷Aµ = 4πj µ . 21) For us, a particular case of these equations with the source equal to zero is most important, ✷Aµ = 0. 23) where λ is a coeﬃcient of what is referred to as the gauge-ﬁxing term. 23) are ✷Aµ − (1 − λ)∂ µ (∂ν Aν ) = 4πj µ . 19). 20). 21). 25) where the kernel of the action is given by the diﬀerential operator K µν ≡ K µν (x) = g µν ✷ − (1 − λ)∂ µ ∂ ν .
The so-called Casimir-less experiment, where the inﬂuence of the Casimir force is canceled, is also discussed. The book ends with Chapter 25, containing our conclusions and outlook. The main conclusion is that we have already achieved very good agreement between the theory, adapted to the case of real material boundaries, which is presented in Part II of the book, and the measurements of the Casimir force. A generalization of this theory to the case of materials with spatial dispersion and a more fundamental approach to the Casimir eﬀect at nonzero temperature are expected in the near future.
2007). The experimental data are shown to be in disagreement with a theoretical approach taking into account the dc conductivity of dielectric materials. In Chapter 23, the applications of the Casimir eﬀect in nanotechnology are considered. This is a new and a rapidly developing subject, driven by the focus on miniaturization in modern technologies. When the characteristic sizes of the elements of microdevices and/or the surface separations shrink below a micrometer, the Casimir force becomes comparable to the characteristic electrostatic forces and must be taken into account in device design, operation, and fabrication.
Advances in the Casimir Effect by Bordag M., Klimchitskaya G.L., Mohideen U., Mostepanenko V.M.