By Michael Bordag, Galina Leonidovna Klimchitskaya, Umar Mohideen, Vladimir Mikhaylovich Mostepanenko
The topic of this publication is the Casimir influence, 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, purposes of the overall concept to actual fabrics, and a finished description of all lately played measurements of the Casimir strength with a comparability among scan and conception. there's an pressing want for a booklet of this sort, given the rise of curiosity in forces originating from the quantum vacuum. various new effects were got 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 e-book is a different resource of knowledge offering a serious overview of all of the major effects and methods from hundreds of thousands of magazine papers. It additionally outlines new principles that have no longer but been universally authorized yet that are discovering expanding aid from scan.
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Extra resources for Advances in the Casimir Effect (International Series of Monographs on Physics)
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.
34) L(1/2) = 2 Here, ψ¯ = ψ + γ 0 is the Dirac conjugate bispinor. 35) V where V is the quantization volume (the whole space or some ﬁnite region restricted by boundaries). The energy–momentum tensor of the spinor ﬁeld is given by i ¯ (1/2) ¯ µψ . 36) 2 It is notable that all of the energy–momentum tensors obtained above in the absence of sources satisfy the conservation law (s) ∂ µ Tµν = 0, where s = 0, 1/2, or 1 is the spin of the ﬁeld. 2 Field quantization and vacuum energy in the presence of boundaries Various boundaries and boundary conditions In Part I of the book, we consider the Casimir eﬀect in regions of space restricted by ideally smooth boundaries.
Both boundaries and a nontrivial topology of space–time can be considered as classical external conditions, on which background the ﬁeld quantization should be performed. In this chapter we brieﬂy present some basic facts related to the quantization procedure for ﬁelds of various spin obeying boundary (or identiﬁcation) conditions. We start with the classical wave equations and then consider various boundary conditions that may be imposed on their solutions. The rest of the chapter is devoted to both the canonical and the path-integral ﬁeld quantization procedure in the presence of boundaries, with stress put on several diﬀerent representations of the vacuum energy.