17 citations · 43 across the 7 of their papers we have counts for
8 papers · 1 filter
Quantum Dirac fermions in half space and their interaction with electromagnetic field
I. Fialkovsky, M. Kurkov, D. Vassilevich
We study the polarization tensor of a Dirac field in dimensions confined to a half space -- a problem motivated by applications to the condensed matter physics, and to Topo…
Graphene through the looking glass of QFT
Ignat V. Fialkovsky, Dmitri V. Vassilevich
This paper is aimed to review and promote the main applications of the methods of Quantum Field Theory to description of quantum effects in graphene. We formulate the effective ele…
Comment on "Casimir energies with finite-width mirrors"
Ignat Fialkovsky, Yuriy Pis'mak, Vladimir Markov
We comment on a recent publication [1] by Fosco, Lombardo and Mazzitelli on Casimir energies for material slabs (`finite width mirrors') and report a discrepancy between results ob…
On the Casimir energy for scalar fields with bulk inhomogeneities
I. V. Fialkovsky, V. N. Markov, Yu. M. Pis'mak
We study the field theoretical model of a real scalar field in presence of spacial inhomogeneity in form of a finite width mirror (material layer). The interaction of the scalar fi…
Localized Solutions of the Non-Linear Klein-Gordon Equation in Many Dimensions
M. V. Perel, I. V. Fialkovsky
We present a new complex non-stationary particle-like solution of the non-linear Klein-Gordon equation with several spatial variables. The construction is based on reduction to an…
Exponentially localized solutions of the Klein-Gordon equation
M. V. Perel, I. V. Fialkovsky
Exponentially localized solutions of the Klein-Gordon equation for two and three space variables are presented. The solutions depend on four free parameters. For some relations bet…