23 citations · 49 across the 14 of their papers we have counts for
15 papers
A new class of degenerate solutions to the massless Dirac equation and their potential applications in optical memories
Georgios N. Tsigaridas, Aristides I. Kechriniotis, Christos A. Tsonos +1
In this article, we present a novel class of degenerate solutions to the massless Dirac equation, corresponding to a wide variety of electromagnetic 4-potentials and fields, includ…
Localized degenerate solutions to the massless Dirac and Weyl equations
Georgios N. Tsigaridas, Aristides I. Kechriniotis, Christos A. Tsonos +1
In this article we present a general class of localized degenerate solutions to the massless Dirac and Weyl equations, which can also describe particles, or systems of particles, w…
Degenerate solutions to the Dirac and Weyl equations and their applications
Georgios N. Tsigaridas, Aristides I. Kechriniotis, Christos A. Tsonos +1
In this review article we present a comprehensive review of degenerate solutions to the Dirac and Weyl equations, highlighting novel and significant findings. Specifically, we demo…
On primitive element of finite k-algebras and applications to commuting matrices
Aristides I. Kechriniotis
Using the properties of the ideal of the coordinate Hermite interpolation on n-dimensional grid [4], we prove that the extension k in k[x1, x2, ..., xn] / (f1(x1), ..., fn(xn)) has…
Hermite coordinate interpolation kernels: application to image zooming
Konstantinos K. Delibasis, Iro Oikonomou, Aristides I. Kechriniotis +1
A number of basic image processing tasks, such as any geometric transformation require interpolation at subpixel image values. In this work we utilize the multidimensional coordina…
A novel device for controlling the flow of information based on Weyl fermions and some interesting remarks regarding the electromagnetic interactions of high energy particles
Georgios N. Tsigaridas, Aristides I. Kechriniotis, Christos A. Tsonos +1
In this work we propose a novel device for controlling the flow of information using Weyl fermions. Based on a previous work of our group, we show that it is possible to fully cont…
Classical multivariate Hermite coordinate interpolation on n-dimensional grids
Aristides I. Kechriniotis, Konstantinos K. Delibasis, Iro P. Oikonomou +1
In this work, we study the Hermite interpolation on -dimensional non-equally spaced, rectilinear grids over a field of characteristic zero, given the values of the func…
Degenerate wave-like solutions to the Dirac equation for massive particles
Georgios N. Tsigaridas, Aristides I. Kechriniotis, Christos A. Tsonos +1
In this work we provide a novel class of degenerate solutions to the Dirac equation for massive particles, where the rotation of the spin of the particles is synchronized with the…
A general method for obtaining degenerate solutions to the Dirac and Weyl equations and a discussion on the experimental detection of degenerate states
Georgios N. Tsigaridas, Aristides I. Kechriniotis, Christos A. Tsonos +1
In this work we describe a general method for obtaining degenerate solutions to the Dirac equation, corresponding to an infinite number of electromagnetic 4-potentials and fields,…
On the remarkable properties of Weyl particles
Georgios N. Tsigaridas, Aristides I. Kechriniotis, Christos A. Tsonos +1
In this work we show that Weyl particles can exist at different states in zero electromagnetic field, either as free particles, or at localized states described by a parameter with…
Degenerate solutions to the massless Dirac and Weyl equations and a proposed method for controlling the quantum state of Weyl particles
Georgios N. Tsigaridas, Aristides I. Kechriniotis, Christos A. Tsonos +1
In a recent work, we have shown that all solutions to the Weyl equation and a special class of solutions to the Dirac equation are degenerate in the sense that they remain unaltere…
Degenerate solutions to the Dirac equation for massive particles and their applications in quantum tunneling
Georgios N. Tsigaridas, Aristides I. Kechriniotis, Christos A. Tsonos +1
In a recent work we have proven the existence of degenerate solutions to the Dirac equation, corresponding to an infinite number of different electromagnetic fields, providing also…
On the connection between the solutions to the Dirac and Weyl equations and the corresponding electromagnetic 4-potentials
Aristides I. Kechriniotis, Christos A. Tsonos, Konstantinos K. Delibasis +1
In this paper we study in detail the connection between the solutions to the Dirac and Weyl equation and the associated electromagnetic 4-potentials. First, it is proven that all s…
A new closed formula for the Hermite interpolating polynomial with applications on the spectral decomposition of a matrix
Aristides I. Kechriniotis, Konstantinos K. Delibasis, Christos Tsonos +1
We present a new closed form for the interpolating polynomial of the general univariate Hermite interpolation that requires only calculation of polynomial derivatives, instead of d…
AC and DC conductivity correlation: The coefficient of Barton--Nakajima--Namikawa relation
Christos Tsonos, Athanasios Kanapitsas, Aristides Kechriniotis +1
It has been some time since an empirical relation, which correlates DC with AC conductivity and contains a loosely defined coefficient thought to be of order one, was introduced by…