We study the vacuum interaction of a scalar field and two concentric spheres defined by a
singular potential on their surfaces. The potential is a linear combination of the Dirac δ and …

We present a detailed study of a generalised one-dimensional Kronig–Penney model using
δ-δ'δ-δ′ potentials. We analyse the band structure and the density of states in two …

Nature creates electrons with two values of the spin projection quantum number. In certain
applications, it is important to filter electrons with one spin projection from the rest. Such …

Abstract We investigate Bose–Einstein condensation of a noninteracting gas of Bose
particles moving in the background of a periodic lattice of delta functions. In the one …

In this paper we propose a coupling between the complex scalar field and an external Dirac
delta-like planar potential. The coupling is achieved through the Klein–Gordon current …

We consider polarizable sheets, which recently received some attention, especially in the
context of the dispersion interaction of thin sheets like graphene. These sheets are modeled …

We consider Casimir-Polder and Casimir forces with finite dissipation by coupling heat baths
to the dipoles introducing, this way, dissipation from first principles. We derive a …

The quantum vacuum fluctuations of a neutral scalar field induced by background zero-
range potentials concentrated on a flat hyperplane of co-dimension 1 in (d+ 1)-dimensional …

Problems of quantum description of nanostructures transport properties is investigated in a
framework of the structure symmetry group. Corresponding states of conductivity electrons …

The Casimir energy for a massless, neutral scalar field in presence of a point interaction is
analyzed using a general zeta-regularization approach developed in earlier works. In …