One of the most efficient methods for the evaluation of the vacuum expectation values for
physical observables in the Casimir effect is based on using the Abel-Plana summation …

There are fundamental relations between three vast areas of physics: particle physics,
cosmology and condensed matter physics. The fundamental links between the first two …

The literature on the spectral analysis of second order elliptic differential operators contains
a great deal of information on the spectral functions for explicitly known spectra. The same is …

One of the aims of this book is to explain in a basic manner the seemingly difficult issues of
mathematical structure using some specific examples as a guide. In each of the cases …

We study a model loosely inspired by the giant carbon molecule C 60, namely a negligibly
thin spherical shell of radius R, carrying a continuous fluid with mass and charge surface …

The Casimir force in a system consisting of two parallel conducting plates in the presence of
compactified universal extra dimensions (UXD) is analyzed. The Casimir force with UXDs …

We argue that already at the classical level the energy-momentum tensor for a scalar field
on manifolds with boundaries in addition to the bulk part contains a contribution located on …

The vacuum expectation values for the energy-momentum tensor of a massive scalar field
with general curvature coupling and obeying the Robin boundary condition on spherically …

We analyze the high temperature (or classical) limit of the Casimir effect. A useful quantity
which arises naturally in our discussion is the “relative Casimir energy,” which we define for …

We review several different approaches for computing Casimir forces and related fluctuation-
induced interactions between bodies of arbitrary shapes and materials. The relationships …