4 papers
Spherical `Top-Hat' Collapse in general Chaplygin gas dominated universes
R. A. A. Fernandes, J. P. M. de Carvalho, A. Yu. Kamenshchik +2
We expand previous works on the spherical `top-hat' collapse (SC-TH) framework in generalized Chaplygin gas (gCg) dominated universes. Here we allow the collapse in all energetic c…
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…
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…
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)…