By Bordag M., Klimchitskaya G.L., Mohideen U., Mostepanenko V.M.
The topic of this e-book is the Casimir impact, 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 ebook assembles field-theoretical foundations of this phenomenon, functions of the overall idea to actual fabrics, and a complete description of all lately played measurements of the Casimir strength with a comparability among test and concept. there's an pressing want for a publication of this sort, given the rise of curiosity in forces originating from the quantum vacuum. quite a few new effects were acquired within the previous couple of years which aren't mirrored in prior books at the topic, yet that are very promising for basic technology and nanotechnology. The publication is a special resource of knowledge offering a severe evaluation of the entire major effects and ways from hundreds of thousands of magazine papers. It additionally outlines new rules that have no longer but been universally permitted yet that are discovering expanding aid from test.
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71) imply that an electromagnetic field can exist only outside an ideal conductor. 71) can be viewed as an ideal case of the interaction of real metal surfaces with an electromagnetic field. e. by the penetration of the electromagnetic field into the metal to a characteristic length scale given by the skin depth. This problem becomes particularly involved at nonzero temperature (see Chapters 12 and 14). 4), where J is the photon wave vector. e. without boundaries), J = k = (k 1 , k 2 , k 3 ), where all k i are continuous.
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. We discuss the actuation of microelectromechanical systems by the Casimir force and its influence on the oscillatory behavior of microdevices.
26) converge: f (ω, δ) → 0 when ω → ∞ for all δ = 0. 28) This function must also satisfy the conditions f (ω, δ) ≤ 1, f (ω, 0) = 1. 26) does not depend on the specific form of f (ω, δ). This follows from the exponentially fast convergence of this integral, which permits taking the limit δ → 0 under the integral. Thus, one can simply omit the cutoff function in all calculations, as we do below. At the same time, the independence of the results obtained of the form of the cutoff function is automatically guaranteed.