75 citations · 504 across the 34 of their papers we have counts for
10 papers · 1 filter
A new class of exact coherent states: enhanced quantization of motion on the half-line
Hervé Bergeron, Jean-Pierre Gazeau, Przemysław Małkiewicz +1
We have discovered a class of dynamically stable coherent states for motion on the half-line. The regularization of the half-line boundary and the consequent quantum motion are exp…
Three examples of quantum dynamics on the half-line with smooth bouncing
Carla Rodrigues Almeida, Hervé Bergeron, Jean Pierre Gazeau +1
This article is an introductory presentation of the quantization of the half-plane based on affine coherent states (ACS). The half-plane is viewed as the phase space for the dynami…
Weyl-Heisenberg integral quantization(s): a compendium
Hervé Bergeron, Evaldo M. F. Curado, Jean-Pierre Gazeau +1
We present a list of formulae useful for Weyl-Heisenberg integral quantizations, with arbitrary weight, of functions or distributions on the plane. Most of these formulae are known…
A baby Majorana quantum formalism
Hervé Bergeron, Evaldo M. F. Curado, Jean Pierre Gazeau +1
The aim of the present paper is to introduce and to discuss the most basic fundamental concepts of quantum physics by means of a simple and pedagogical example. An appreciable part…
Quantizations from (P)OVM's
Hervé Bergeron, Evaldo M. F. Curado, Jean-Pierre Gazeau +1
We explain the powerful role that operator-valued measures can play in quantizing any set equipped with a measure, for instance a group (resp. group coset) with its invariant (resp…
Integral quantizations with two basic examples
Jean Pierre Gazeau, Herve Bergeron
The paper is devoted to integral quantization, a procedure based on operator-valued measure and resolution of the identity. We insist on covariance properties in the important case…