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 …

The effects induced by the quantum vacuum fluctuations of one massless real scalar field on
a configuration of two partially transparent plates are investigated. The physical properties of …

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 …

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 …

In this paper, we provide a detailed description of the eigenvalue ED (x 0)≤ 0 (respectively,
EN (x 0)≤ 0) of the self-adjoint Hamiltonian operator representing the negative Laplacian on …

We reconsider the quantum vacuum interaction energy between two straight parallel cosmic
strings. This problem was discussed several times in an approach treating both strings …

We study the spectrum of the 1D Dirac Hamiltonian encompassing the bound and scattering
states of a fermion distorted by a static background built from δ-function potentials. After …

A bstract In this paper quantum effects are investigated in a very special two-scalar field
model having a moduli space of BPS topological defects. In a (1+ 1)-dimensional space-time …