activity
19962012
most citedNoncommutative configuration space. Classical and quantum mechanical aspects

18 citations · 70 across the 8 of their papers we have counts for

collaborators

8 papers

quant-ph2012★ 17 cited

Image method in the calculation of the van der Waals force between an atom and a conducting surface

Reinaldo de Melo e Souza, W. J. M. Kort-Kamp, C. Sigaud +1

Initially, we make a detailed historical survey of van der Waals forces, collecting the main references on the subject. Then, we review a method recently proposed by Eberlein and Z…

hep-th2012★ 4 cited

Sommerfeld's image method in the calculation of van der Waals forces

Reinaldo de Melo e Souza, W. J. M. Kort-Kamp, C. Sigaud +1

We show how the image method can be used together with a recent method developed by C. Eberlein and R. Zietal to obtain the dispersive van der Waals interaction between an atom and…

hep-th2011★ 11 cited

Finite size effects and non-additivity in the van der Waals interaction

Reinaldo de Melo e Souza, W. J. M. Kort-Kamp, C. Sigaud +1

We obtain analytically the exact non-retarded dispersive interaction energy between an atom and a perfectly conducting disc. We consider the atom in the symmetry axis of the disc a…

math-ph2010

On the finite spectral triple of an almost-commutative geometry

F. J. Vanhecke, A. R. da Silva, C. Sigaud

In this short communication, we examine the relevance of the signature of the space-time metric in the construction of the product of a pseudo-Riemannian spectral triple with a fin…

math-ph2006★ 1 cited

Symmetries in Non Commutative Configuration space

F. J. Vanhecke, C. Sigaud, A. R. da Silva

Extending earlier work(*), we examine the deformation of the canonical symplectic structure in a cotangent bundle $T^\star(\Q)$ by additional terms implying the Poisson non-commuta…

math-ph2005★ 18 cited

Noncommutative configuration space. Classical and quantum mechanical aspects

F. J. Vanhecke, C. Sigaud, A. R. da Silva

In this work we examine noncommutativity of position coordinates in classical symplectic mechanics and its quantisation. In coordinates the canonical symplectic two-f…

hep-th1999★ 9 cited

Connes-Lott model building on the two-sphere

J. A. Mignaco, C. Sigaud, A. R. da Silva +1

In this work we examine generalized Connes-Lott models on the two-sphere. The Hilbert space of the continuum spectral triple is taken as the space of sections of a twisted spinor b…

hep-th1996★ 10 cited

The Connes-Lott program on the sphere

J. A. Mignaco, C. Sigaud, A. R. da Silva +1

We describe the classical Schwinger model as a study of the projective modules over the algebra of complex-valued functions on the sphere. On these modules, classified by $π_2(S^2)…