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 appearing among heavily spaced our bodies. For the advantage of the reader, the e-book assembles field-theoretical foundations of this phenomenon, functions of the final conception to actual fabrics, and a complete description of all lately played measurements of the Casimir strength with a comparability among scan and conception. there's an pressing want for a ebook of this sort, given the rise of curiosity in forces originating from the quantum vacuum. quite a few new effects were bought within the previous couple of years which aren't mirrored in earlier books at the topic, yet that are very promising for primary technological know-how and nanotechnology. The ebook is a special resource of knowledge featuring a severe evaluate 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 authorized yet that are discovering expanding help from test.

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

**Example text**

The comparison of the experimental results with theory leads to important conclusions concerning the validity of the various theoretical approaches to the thermal Casimir force discussed in Part II. 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.

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 .

The presentation starts with a discussion of an experiment using a torsion pendulum and a series of experiments with an atomic force microscope. The experimental conﬁgurations used were those of a spherical lens and a sphere A guide to this book 13 above a plate, respectively. The experiments with the atomic force microscope demonstrated for the ﬁrst time the corrections to the Casimir force due to the nonzero skin depth and surface roughness. The discussion of all of the experiments in this and the following chapters of Part III is combined with a careful comparison with the theory of the Casimir eﬀect between real bodies presented in Part II of the book.