The current knowledge about fluctuation-induced long-ranged forces is summarized.
Reference is made in particular to fluids near critical points, for which some new insight has …

The years elapsed since the First Edition was issued have witnessed an impressive
evolution of some of the applications here considered, maybe not so of the mathematical …

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 …

We present a very quick and powerful method for the calculation of heat kernel coefficients. It
makes use of rather common ideas, as integral representations of the spectral sum, Mellin …

Resource Letter CF-1: Casimir Force - NASA/ADS Now on home page ads icon ads Enable full
ADS view NASA/ADS Resource Letter CF-1: Casimir Force Lamoreaux, SK Abstract This …

Nucleation rates for tunneling processes in Minkowski and de Sitter space are investigated,
taking into account one loop prefactors. In particular, we consider the creation of membranes …

The inhomogeneous generalized (Epstein–Hurwitz‐like) multidimensional series E m (s; a
1,..., am; c 1,..., cm; c 2)≡∑ n 1,..., nm= 0∞[a 1 (n 1+ c 1) 2+...+ am (nm+ cm) 2+ c 2]− s is …

The role of bulk matter quantum effects (via the corresponding effective potential discussed
using the example of a conformal scalar) and of boundary matter quantum effects (via the …

The zero-point energy of a massless fermion field in the interior of two parallel plates in a D-
dimensional space–time at zero temperature is calculated. In order to regularize the model …

In N+ 1 dimensions, false vacuum decay at zero temperature is dominated by the O (N+ 1)-
symmetric instanton, a sphere of radius R 0, whereas at temperatures T≫ R 0− 1, the decay …