Add to ORKGIn this work we study representations of the Poincare group defined over symplectic manifolds, deriving the Klein-Gordon and the Dirac equation in phase space. The formalism is associated with relativistic Wigner functions; the Noether theorem is derived in phase space and an interacting field, including a gauge field, approach is discussed
Thèse effectuée en cotutelle au Département de Mathématique de l'Université de Münster (Allemagne)No...
The great deal in noncommutative (NC) field theories started when it was noted that NC spaces natura...
AbstractUsing a covariant and gauge invariant symplectic structure constructed on the covariant phas...
Texto completo: acesso restrito. p. 464–471In this work we study representations of the Poincaré gro...
We first introduce the Wigner-Weyl-Moyal formalism for a theory whose phase-space is an arbitrary Li...
In this paper, we obtain the phase-space quantization for relativistic spinning particles. The main ...
The Dirac approach to constrained systems can be adapted to construct relativistic invariant theorie...
Texto completo: acesso restrito. p. 1-12Symplectic unitary representations for the Galilei group are...
We address the phase space formulation of a noncommutative extension of quantum mechanics in arbitra...
p. 492-510Using the notion of symplectic structure and Weyl (or star) product of non-commutative geo...
Symplectic geometry originated in physics, but it has flourished as an independent subject in mathem...
Nowadays, noncommutative geometry is a growing domain of mathematics, which can appear as a promisin...
We investigate symmetries of the scalar field theory with harmonic term on the Moyal space with eucl...
Fedosov has described a geometro-algebraic method to construct in a canonical way a deformation of t...
The semiclassical limit of full non-commutative gauge theory is known as Poisson gauge theory. In th...
Thèse effectuée en cotutelle au Département de Mathématique de l'Université de Münster (Allemagne)No...
The great deal in noncommutative (NC) field theories started when it was noted that NC spaces natura...
AbstractUsing a covariant and gauge invariant symplectic structure constructed on the covariant phas...
Texto completo: acesso restrito. p. 464–471In this work we study representations of the Poincaré gro...
We first introduce the Wigner-Weyl-Moyal formalism for a theory whose phase-space is an arbitrary Li...
In this paper, we obtain the phase-space quantization for relativistic spinning particles. The main ...
The Dirac approach to constrained systems can be adapted to construct relativistic invariant theorie...
Texto completo: acesso restrito. p. 1-12Symplectic unitary representations for the Galilei group are...
We address the phase space formulation of a noncommutative extension of quantum mechanics in arbitra...
p. 492-510Using the notion of symplectic structure and Weyl (or star) product of non-commutative geo...
Symplectic geometry originated in physics, but it has flourished as an independent subject in mathem...
Nowadays, noncommutative geometry is a growing domain of mathematics, which can appear as a promisin...
We investigate symmetries of the scalar field theory with harmonic term on the Moyal space with eucl...
Fedosov has described a geometro-algebraic method to construct in a canonical way a deformation of t...
The semiclassical limit of full non-commutative gauge theory is known as Poisson gauge theory. In th...
Thèse effectuée en cotutelle au Département de Mathématique de l'Université de Münster (Allemagne)No...
The great deal in noncommutative (NC) field theories started when it was noted that NC spaces natura...
AbstractUsing a covariant and gauge invariant symplectic structure constructed on the covariant phas...