By Michael Bordag, Galina Leonidovna Klimchitskaya, Umar Mohideen, Vladimir Mikhaylovich Mostepanenko
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 e-book assembles field-theoretical foundations of this phenomenon, purposes of the final idea to actual fabrics, and a complete description of all lately played measurements of the Casimir strength with a comparability among scan and concept. there's an pressing want for a e-book of this sort, given the rise of curiosity in forces originating from the quantum vacuum. quite a few new effects were received 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 special resource of knowledge providing a severe evaluation of all of the major effects and ways from hundreds and hundreds of magazine papers. It additionally outlines new principles that have no longer but been universally approved 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)
Then the components kx , ky remain continuous, but the component kz = kzn = πn/a, n = 0, ±1, ±2, becomes discrete. 7) for a scalar ﬁeld on an interval, here n can be a negative integer, which takes the two photon polarizations into account. 2, where the complete orthonormal set of solutions of the wave equation between the two parallel planes is explicitly presented). As a result, the vacuum energy of the electromagnetic ﬁeld between the idealmetal planes can be presented in the form ∞ E0 (a) = 2 −∞ dkx 2π ∞ −∞ dky 2π ∞ ωk⊥ ,n S.
Such an approach is called global because it deals with total energies. In this section we discuss another, local, approach to the Casimir eﬀect, which starts from vacuum energy densities. In this case the total energy of the vacuum is obtained by the integration of the energy density over the quantization volume. The vacuum energy density is deﬁned as the expectation value of the energy density operator of the quantized ﬁeld in the vacuum state. Here, we present only the most elementary aspects of ﬁeld quantization for a scalar ﬁeld in two-dimensional space–time.
Chapter 22 discusses measurements of the Casimir–Polder force in the experiments on Bose–Einstein condensation and quantum reﬂection. Special attention is paid to an experiment where the thermal Casimir–Polder force was measured for the ﬁrst time (Obrecht et al. 2007). The experimental data are shown to be in disagreement with a theoretical approach taking into account the dc conductivity of dielectric materials. In Chapter 23, the applications of the Casimir eﬀect in nanotechnology are considered.