In this paper the quantum vacuum energies induced by massive fluctuations of one real
scalar field on a configuration of two partially transparent plates are analyzed. The physical …

We consider the quench dynamics of non-interacting fermions in one dimension in the
presence of a finite-size impurity at the origin. This impurity is characterized by general …

Antiferromagnets (AFs) have recently surged as a prominent material platform for next-
generation spintronic devices. Here we focus on the dynamics of the domain walls in AFs in …

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 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)+ …

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 …

The spherically symmetric potential a δ (r− r 0)+ b δ′(r− r 0) is generalised for the d-
dimensional space as a characterisation of a unique selfadjoint extension of the free …

We develop an approach on how to define single-point interactions under the application of
external fields. The essential feature relies on an asymptotic method based on the one-point …

The basic thermodynamic quantities for a non-interacting scalar field in a periodic potential
composed of either a one-dimensional chain of Dirac δ-δ^ ′ δ-δ′ functions or a specific …

The most unstable quantum states and elementary particles possess more than a single
decay channel. At the same time, it is well known that typically the decay law is not simply …