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

The topic of this booklet 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 advantage of the reader, the booklet assembles field-theoretical foundations of this phenomenon, purposes of the final conception to actual fabrics, and a accomplished description of all lately played measurements of the Casimir strength with a comparability among test and concept. there's an pressing desire for a publication of this sort, given the rise of curiosity in forces originating from the quantum vacuum. quite a few new effects were got within the previous few years which aren't mirrored in past books at the topic, yet that are very promising for primary technology and nanotechnology. The ebook is a distinct resource of knowledge offering a severe evaluate of all of the major effects and methods from thousands of magazine papers. It additionally outlines new rules that have now not but been universally permitted yet that are discovering expanding aid from test.

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

**Sample text**

From classical electrodynamics, the electric ﬁeld and the magnetic induction, of both polarizations, satisfy the following boundary conditions on the surface of an ideal metal: E t (t, r)|S = B n (t, r)|S = 0. 71) Here, r is the radius vector of any point, n is the unit vector normal to the surface, and the index “t” denotes the tangential component, which is parallel to ✂ ✁ Fig. 2. Two parallel ideal-metal planes of area S spaced a distance a apart. 30 Simple models of the Casimir eﬀect the planes.

9% conﬁdence level. Then, an experiment using a linear piezoelectric transducer is presented. This experiment exploits the original Casimir conﬁguration of two parallel plates. The chapter ends with a discussion of several related experiments. Chapters 20 and 21 contain presentations of experiments on measuring the Casimir force between a metal and a semiconductor and of the force in conﬁgurations with corrugated surfaces, respectively. Three experiments on the Casimir interaction between a metallized sphere and a semiconductor plate, considered in Chapter 20, allowed one to measure the change in the magnitude of the force due to a change in the semiconductor charge carrier density and to demonstrate modulation of the Casimir force with laser light.

The plasma model, the Drude model, and a generalized plasma-like model that takes into account interband transitions of core electrons are considered. Special attention is paid in Chapter 14 to the problem of the zero-frequency term in the Lifshitz formula. Several approaches to the determination of this term proposed in the literature are analyzed. Computational results for the Casimir free energy, pressure, and entropy are obtained in the framework of each approach. The approach based on the use of the Drude model is shown to be in violation of the third law of thermodynamics in the case of perfect crystal lattices.

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