Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Integral quantizations with two basic examples

- J. Gazeau, H. Bergeron
- Physics, Mathematics
- 10 August 2013

Abstract The paper concerns integral quantization, a procedure based on operator-valued measure and resolution of the identity. We insist on covariance properties in the important case where group… Expand

55 4- PDF

Smooth Big Bounce from Affine Quantization

- H. Bergeron, A. Dapor, J. Gazeau, P. Małkiewicz
- Physics
- 3 May 2013

We examine the possibility of dealing with gravitational singularities on a quantum level through the use of coherent state or wavelet quantization in- stead of canonical quantization. We consider… Expand

34- PDF

Symmetric deformed binomial distributions: An analytical example where the Boltzmann-Gibbs entropy is not extensive

- H. Bergeron, E. Curado, J. Gazeau, L. M. Rodrigues
- Mathematics
- 20 January 2016

Asymptotic behavior (with respect to the number of trials) of symmetric generalizations of binomial distributions and their related entropies is studied through three examples. The first one has the… Expand

4- PDF

Smooth Bounce in Affine Quantization of Bianchi I

- H. Bergeron, A. Dapor, J. Gazeau, P. Małkiewicz
- Physics
- 30 January 2015

We present the affine coherent state quantization of the Bianchi I model. As in our previous paper on quantum theory of Friedmann models, we employ a variable associated with a perfect fluid to play… Expand

10- PDF

Variations à la Fourier-Weyl-Wigner on Quantizations of the Plane and the Half-Plane

- H. Bergeron, J. Gazeau
- Computer Science, Medicine
- Entropy
- 1 October 2018

TLDR

5- PDF

Model potentials or pseudopotentials: the connection via supersymmetry

- A. Valance, H. Bergeron
- Physics
- 14 February 1989

A phenomenological correspondence between model potential theory and pseudopotential theory is given in the framework of supersymmetric quantum mechanics.

2

From Classical to Quantum Mechanics: "How to translate physical ideas into mathematical language"

- H. Bergeron
- Mathematics, Physics
- 16 February 2001

Following previous works by E. Prugovecki [Physica A 91A, 202 (1978) and Stochastic Quantum Mechanics and Quantum Space–time (Reidel, Dordrecht, 1986)] on common features of classical and quantum… Expand

10- PDF

Wavelet Quantum Cosmology

- H. Bergeron, A. Dapor, J. Gazeau, P. Małkiewicz
- Physics
- 3 May 2013

We examine the possibility of dealing with gravitational singularities on a quantum level through the use of coherent state or wavelet quantization instead of canonical quantization. We consider the… Expand

5

Entropies of deformed binomial distributions

- H. Bergeron, E. Curado, J. Gazeau, L. M. Rodrigues
- Mathematics, Physics
- 1 December 2014

Asymptotic behavior (with respect to the number of trials) of symmetric generalizations of binomial distributions and their related entropies are studied through three examples. The first one derives… Expand

N ov 2 01 3 INTEGRAL QUANTIZATIONS WITH TWO BASIC EXAMPLES

- H. Bergeron, J. Gazeau
- 2019

The paper concerns integral quantization, a procedure based on operatorvalued measure and resolution of the identity. We insist on covariance properties in the important case where group… Expand