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Tunneling in fractional quantum mechanics

- E. C. Oliveira, J. Vaz
- 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

Clifford-like calculus over lattices

- J. Vaz
- Mathematics
- 1 June 1997

We introduce a calculus over a lattice based on a lattice generalization of the Clifford algebras. We show that Clifford algebras, in contrast to the continuum, are not an adequated algebraic… Expand

The Clifford algebra of physical space and Dirac theory

- J. Vaz
- Physics
- 11 July 2016

The claim found in many textbooks that the Dirac equation cannot be written solely in terms of Pauli matrices is shown to not be completely true. It is only true as long as the term in the usual… Expand

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

Fractional calculus via Laplace transform and its application in relaxation processes

- E. C. Oliveira, S. Jarosz, J. Vaz
- Mathematics, Computer ScienceCommun. Nonlinear Sci. Numer. Simul.
- 1 April 2019

The Clifford Algebra of Physical Space and Elko Spinors

- J. Vaz
- Mathematics, Physics
- 1 February 2018

Elko spinors are eigenspinors of the charge conjugation operator. In this work we use the Clifford algebra of the physical space in order to formulate the theory of Elko spinors and use a procedure… Expand

Elko Spinor Fields and Massive Magnetic Like Monopoles

- E. C. Oliveira, W. Rodrigues, J. Vaz
- Mathematics
- 19 June 2013

In this paper we recall that by construction Elko spinor fields of λ and ρ types satisfy a coupled system of first order partial differential equations (csfopde) that once interacted leads to… Expand

Fractional Schrödinger equation with Riesz-Feller derivative for delta potentials

The fractional Schrodinger equation with the Riesz-Feller derivative is discussed and solved when the potential involves delta functions. Some results in the literature are generalized.

Conformal structures and twistors in the paravector model of spacetime

Some properties of the Clifford algebras and are presented, and three isomorphisms between the Dirac–Clifford algebra and are exhibited, in order to construct conformal maps and twistors, using the… Expand

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