Supersymmetry breaking effects using the pure spinor formalism of the superstring

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Investigation of the conduction processes in PZT-based multiferroics: Analysis from Jonscher's formalism

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Light-cone analysis of the pure spinor formalism for the superstring

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Higher-derivative non-Abelian gauge fields via the Faddeev-Jackiw formalism

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Formalismo canônico da mecânica clássica: alicerce da mecânica quântica

We present a succinct review of the canonical formalism of classical mechanics, followed by a brief review of the main representations of quantum mechanics. We emphasize the formal similarities between the corresponding equations. We notice that these similarities contributed to the formulation of quantum mechanics. Of course, the driving force behind the search of any new physics is based on experimental evidence

Funções, funcionais e operadores na física matemática, com índices matriciais

With the advance of mathematical methods throughout the centuries, in particular with respect to the differential calculus, the notion of fractional derivative emerged with Leibniz and later developed by several well known scientists. Today that formalism is well used in the study of diffusion phenomena among other areas. We extend the fractional indices to matricial indices and develop a formalism to handle this generalized derivative, as well as other operators, functions and functionals in mathematical physics, originally defined for natural indices. Here we only consider 2x2 hermitian and anti-hermitian matrices. These matrices are associated to the well known Pauli matrices and Hamilton's quaternions. Applications with mathematical physics functions are presented