The concept of fractional integral in the Riemann-Liouville, Liouville, Weyl and Riesz sense ... with is given by where is the Dirac delta function. Proof. Evaluating the Fourier transform of the ...

E. Glen Weyl is founder of the RadicalxChange Foundation and the Plurality Institute. Audrey Tang is Taiwan's cyber-ambassador and the former first minister of digital affairs of Taiwan.

Polynomial equations are a cornerstone of modern science, providing a mathematical basis for celestial mechanics, computer graphics, market growth predictions and much more. But although most high ...

Unique Weyl semimetal delivers largest intrinsic conversion of light to electricity, an international team led by Boston College researchers reports IMAGE ABOVE: The Weyl semimetal Tantalum Arsenide ...

ABSTRACT: In this paper, I propose that the “Hubble expansion” phenomenon is universal and isotropic and countered by space absorption as an activity of central masses. With mass sucking in space on ...

A reduction of the Dirac-Maxwell equations in the case of static cylindrical symmetry is performed. The behaviour of the resulting system of o.d.e.'s is examined analytically and numerical solutions ...

Abstract: The purpose of this article is to present an elementary derivation of Maxwell's equations suitable for an opening lecture in a modern applied electromagnetism course. It is inspired by Dirac ...

Furthermore, the unconventional QHE in graphene was reviewed, where the electron dynamics can be treated as relativistic Dirac fermions and even the supersymmetric quantum mechanics plays a key role.

This book is an introduction to the general theory of second order parabolic differential equations, which model many important, time-dependent physical systems. It studies the existence, uniqueness, ...