54 citations · 410 across the 21 of their papers we have counts for
22 papers
On the mistake in defining fractional derivative using a non-singular kernel
Edmundo Capelas de Oliveira, Stefania Jarosz, Jayme Vaz
Definitions of fractional derivative of order () using non-singular kernels have been recently proposed. In this note we show that these definitions cannot be usef…
On the Clifford Algebraic Description of the Geometry of a 3D Euclidean Space
Jayme Vaz, Stephen Mann
We discuss how transformations in a three dimensional euclidean space can be described in terms of the Clifford algebra of the quadratic space $\mathbb{R}^{…
Paravectors and the Geometry of 3D Euclidean Space
Jayme Vaz, Stephen Mann
We introduce the concept of paravectors to describe the geometry of points in a three dimensional space. After defining a suitable product of paravectors, we introduce the concepts…
Life in the Rindler Reference Frame: Does an Uniformly Accelerated Charge Radiates? Is there a Bell `Paradox'? Is Unruh Effect Real?
Waldyr A. Rodrigues, Jayme Vaz
The determination of the electromagnetic field generated by a charge in hyperbolic motion is a classical problem for which the majority view is that the Liénard-Wiechert solution w…
Non-Associativity in the Clifford Bundle on the Parallelizable Torsion 7-Sphere
Roldao da Rocha, M. A. Traesel, Jayme Vaz
In this paper we discuss generalized properties of non-associativity in Clifford bundles on the 7-sphere S7. Novel and prominent properties inherited from the non-associative struc…
Tunneling in Fractional Quantum Mechanics
Edmundo Capelas de Oliveira, Jayme Vaz
We study the tunneling through delta and double delta potentials in fractional quantum mechanics. After solving the fractional Schrödinger equation for these potentials, we calcula…