In this paper, we review some recent findings related to the Casimir effect. Initially, the
thermal corrections to the vacuum Casimir energy density are calculated, for a quantum …

The infrared behaviour of quantum field theories confined in bounded domains is strongly
dependent on the shape and structure of space boundaries. The most significant physical …

We consider the one-dimensional Hamiltonian with a V-shaped potential H 0= 1 2− d 2 dx
2+| x|, decorated with a point impurity of either δ-type, or local δ′-type or even nonlocal δ …

In this paper, we evaluate the Casimir energy and pressure for a massive fermionic field
confined in the region between two parallel plates. In order to implement this confinement …

We formulate a self-consistent model of the integer quantum Hall effect on an infinite strip,
using boundary conditions to investigate the influence of finite-size effects on the Hall …

In this contribution to the study of one-dimensional point potentials, we prove that if we take
the limit $ q\to 0$ on a potential of the type ${v} _ {0}\delta (y)+ 2 {v} _ {1}{\delta}^{\prime}(y)+ …

We reconsider four-dimensional scalar field theory in presence of Robin boundary
conditions on two parallel plates. These boundary conditions are directly imposed in the …

We discuss several aspects of the stress-energy tensor for a quantum scalar field in an
inhomogeneous background, the latter being modeled by a variable mass. Using a …

We consider a real massless scalar field in 1+ 1 dimensions satisfying time-dependent
Robin boundary condition at a static mirror. This condition can simulate moving reflecting …

Following the seminal works of Asorey–Ibort–Marmo and Muñoz–Castañeda–Asorey about
selfadjoint extensions and quantum fields in bounded domains, we compute all the heat …