Advances in the Casimir Effect (International Series of by Michael Bordag, Galina Leonidovna Klimchitskaya, Umar

By Michael Bordag, Galina Leonidovna Klimchitskaya, Umar Mohideen, Vladimir Mikhaylovich Mostepanenko

The topic of this booklet is the Casimir impact, a manifestation of zero-point oscillations of the quantum vacuum leading to forces performing among heavily spaced our bodies. For the advantage of the reader, the ebook assembles field-theoretical foundations of this phenomenon, functions of the overall idea to genuine fabrics, and a accomplished description of all lately played measurements of the Casimir strength with a comparability among test and conception. there's an pressing desire for a e-book of this sort, given the rise of curiosity in forces originating from the quantum vacuum. a number of new effects were acquired within the previous couple of years which aren't mirrored in past books at the topic, yet that are very promising for basic technology and nanotechnology. The booklet is a different resource of data proposing a severe overview of the entire major effects and methods from 1000's of magazine papers. It additionally outlines new rules that have now not but been universally accredited yet that are discovering expanding aid from scan.

Show description

Read Online or Download Advances in the Casimir Effect (International Series of Monographs on Physics) PDF

Best waves & wave mechanics books

Wavelets: Theory and applications

Wavelets are spatially localized services whose amplitude drops off exponentially outdoor a small "window". they're used to exaggerate experimental or numerical info and became robust instruments in sign processing and different computational sciences. This booklet provides scientists and engineers a pragmatic knowing of wavelets--their origins, their function, their use, and their clients.

Advanced signal integrity for high-speed digital designs

A synergistic method of sign integrity for high-speed electronic layout This booklet is designed to supply modern readers with an knowing of the rising high-speed sign integrity concerns which are developing roadblocks in electronic layout. Written by way of the main specialists at the topic, it leverages options and methods from non-related fields similar to utilized physics and microwave engineering and applies them to high-speed electronic design—creating the optimum blend among conception and functional purposes.

Integrated Photonics: Fundamentals

All built-in optical elements and units utilize "waveguides", the place gentle is restricted by way of overall inner mirrored image. the weather in such "photonic chip" are interconnected via waveguides, and likewise the built-in optics elements themselves are fabricated utilizing waveguide configuration, akin to couplers, switches, modulators, multiplexors, amplifiers and lasers, and so forth.

Conformal Field Theory and Topology

Probably the most extraordinary interactions among geometry and physics seeing that 1980 has been an program of quantum box idea to topology and differential geometry. a necessary trouble in quantum box conception comes from infinite-dimensional freedom of a method. innovations facing such infinite-dimensional gadgets built within the framework of quantum box concept were influential in geometry besides.

Additional resources for Advances in the Casimir Effect (International Series of Monographs on Physics)

Example text

On two parallel planes or on the four sides of a parallelepiped. 41), one must find an explicit expression for the eigenfrequencies ωJ . e. 42) ∂n S we are dealing with Neumann boundary condition. 42) are called the Neumann boundary problem. 43) S where u is some parameter or a function of the radius vector, is called a Robin boundary condition. 1) with m = 0. e. 39), −∇2 AJ,µ (r) = ΛJ AJ,µ (r), ΛJ ≡ ωJ2 . 71) must be satisfied at each point of S. 17). For electromagnetic fields without sources, it is always possible to fix the vector potential such that A0J (r) = 0, divAJ (r) = 0.

We now consider the quantization of a scalar field on the entire axis −∞ < x < ∞. 11) and the commutation relations are as follows: ak , a + k = δ(k − k ), + [ak , ak ] = a+ k , ak = 0. 63) The vacuum state of the scalar field on an unbounded axis is defined by the equality ak |0M = 0. 63), we find the infinite vacuum energy density of the scalar field on the axis: ∞ (0) 0M |T00 (t, x)|0M = 4π −∞ dk ωk . 13). We recall that L is the infinite length of the axis. 65). 38), we finally find (x) = − c mc2 − 4a 4πa2 ∞ 2µ y 2 − 4µ2 m2 c 4 dy − ey − 1 2a ∞ cos 2kn x .

7) ∂x0 ∂x0 V where V is the quantization volume (free infinite space or some region restricted by boundaries). 4), with Υ = 0. Sometimes what is referred to as the metrical energy–momentum tensor of the scalar field is also used (Chernikov and Tagirov 1968, Callan et al. 8) by a 4-divergence (D is the dimensionality of space–time). 10) where ✷ = ∇µ ∇µ , ∇µ is the covariant derivative, the scalar curvature R = Rµµ is the trace of the Ricci tensor, and ξ is the coupling coefficient. 10) is conformally invariant in the limit of zero mass if ξ in the above expression is given by ξ = 1/6 (for D = 4).

Download PDF sample

Rated 4.25 of 5 – based on 31 votes