742 citations · 1.5k across the 44 of their papers we have counts for
7 papers · 1 filter
Comments on mathematical aspects of the Biró-Néda model
Ilda Inácio, José Velhinho
We address two mathematical aspects of the Biró--Néda dynamical model, recently applied in the statistical analysis of several and varied complex phenomena. First, we show that a g…
Canonical Quantization of the Scalar Field: The Measure Theoretic Perspective
José Velhinho
This review is devoted to measure theoretical methods in the canonical quantization of scalar field theories. We present in some detail the canonical quantization of the free scala…
On the Uniqueness of the Fock Quantization of the Dirac Field in the Closed FRW Cosmology
Jerónimo Cortez, Ilda Inácio Rodrigues, Mercedes Martín-Benito +1
The Fock quantization of free fields propagating in cosmological backgrounds is in general not unambiguously defined due to the non-stationarity of the spacetime. For the case of a…
An introduction to strict quantization
J. M. Velhinho
We present a short review of the approach to quantization known as strict (deformation) quantization, which can be seen as a generalization of the Weyl-Moyal quantization. We inclu…
Local Properties of Measures in Quantum Field Theory and Cosmology
José M. Velhinho
We show that measure theoretical results concerning the Ashtekar-Lewandowski measure in the space of generalized connections have direct analogues in the context of the Bohr compac…
Functorial Aspects of the Space of Generalized Connections
J. M. Velhinho
We give a description of the category structure of the space of generalized connections, an extension of the space of connections that plays a central role in loop quantum gravity.