Speaker
Description
The possibility of quantizing fields in neighborhood of arbitrary spacetime hypersurfaces, not necessarily of Cauchy nature, lies at the core of the so called General Boundary Formulation (GBF) of quantum theory. The GBF provides a novel perspective on quantum dynamics and offers the opportunity to address problems that are challenging (or even impossible) to solve within the standard formulation. In this presentation, we will discuss some recent findings regarding the quantization of evanescent modes of the field, a process that necessitates a new quantization scheme. We will explore this in various contexts, including a massive scalar field within the hypercylinder region in Minkowski spacetime and the electromagnetic field within a waveguide (a spatially cylindrical region extended over all time).