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Models based on Mittag-Leffler functions for anomalous relaxation in dielectrics
- E. C. de Oliveira, F. Mainardi, J. Vaz
- Physics, Mathematics
- 4 April 2011
Abstract.We revisit the Mittag-Leffler functions of a real variable t, with one, two and three order-parameters {α,β,γ}, as far as their Laplace transform pairs and complete monotonicity properties… Expand
Tunneling in fractional quantum mechanics
- E. C. Oliveira, J. Vaz
- Mathematics, Physics
- 9 November 2010
We study tunneling through delta and double delta potentials in fractional quantum mechanics. After solving the fractional Schrodinger equation for these potentials, we calculate the corresponding… Expand
The fractional Schrödinger equation for delta potentials
- E. C. Oliveira, F. Costa, J. Vaz
- Physics
- 21 December 2010
The fractional Schrodinger equation is solved for the delta potential and the double delta potential for all energies. The solutions are given in terms of Fox's H-function.
Construction of Monopoles and Instantons by Using Spinors and the Inversion Theorem
- J. Vaz
- Mathematics
- 1998
In this paper we use spinors and the inversion theorem, which enables one to recover the spinor from the bilinear covariants, in order to construct topological objects like the monopole and the… Expand
A spinor representation of Maxwell equations and Dirac equation
- J. Vaz, W. A. Rodrigues
- Physics
- 1 February 1993
Using the Clifford bundle formalism and starting from the free Maxwell equations dF = {delta}F = 0 we show by writing F = b{psi}{gamma}{sup 1}{gamma}{sup 2}{psi}{sup *}, where {psi} is a… Expand
- 4
- 2
Theorem for Series in Three-Parameter Mittag-Leffler Function
- A. L. Soubhia, R. Camargo, E. C. Oliveira, J. Vaz
- Mathematics
- 2010
The new result presented here is a theorem involving series in the threeparameter Mittag-Le†er function. As a by-product, we recover some known results and discuss corollaries. As an application, we… Expand
- 26
- 2
- PDF
On anomalous diffusion and the fractional generalized Langevin equation for a harmonic oscillator
- R. Camargo, E. C. Oliveira, J. Vaz
- Physics
- 18 December 2009
The fractional generalized Langevin equation (FGLE) is proposed to discuss the anomalous diffusive behavior of a harmonic oscillator driven by a two-parameter Mittag–Leffler noise. The solution of… Expand
Slowing-down of neutrons: a fractional model
- F. Costa, E. C. Grigoletto, J. Vaz, E. C. Oliveira
- Mathematics
- 18 June 2015
The fractional version for the diffusion of neutrons in a material medium is studied. The concept of fractional derivative is presented, in the Caputo and Riesz senses. Using this concept, we discuss… Expand
Fractional models of anomalous relaxation based on the Kilbas and Saigo function
- E. C. Oliveira, F. Mainardi, J. Vaz
- Mathematics
- 11 April 2014
We revisit the Kilbas and Saigo functions of the Mittag-Leffler type of a real variable $$t$$t, with two independent real order-parameters. These functions, subjected to the requirement to be… Expand
Equivalence of Dirac and Maxwell equations and quantum mechanics
- J. Vaz, W. Rodrigues
- Physics
- 1 June 1993
In this paper we present an analysis of the possible equivalence of Dirac and Maxwell equations using the Clifford bundle formalism and compare it with Campolattaro's approach, which uses the… Expand