11 citations · 64 across the 12 of their papers we have counts for
12 papers
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…
Position-dependent mass quantum Hamiltonians: General approach and duality
M. A. Rego-Monteiro, Ligia M. C. S. Rodrigues, E. M. F. Curado
We analyze a general family of position-dependent mass quantum Hamiltonians which are not self-adjoint and include, as particular cases, some Hamiltonians obtained in phenomenologi…
Entropies of deformed binomial distributions
H. Bergeron, E. M. F. Curado, J. P. Gazeau +1
Asymptotic behavior (with respect to the number of trials) of symmetric generalizations of binomial distributions and their related entropies are studied through three examples. Th…
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…
A note about combinatorial sequences and Incomplete Gamma function
H. Bergeron, E. M. F. Curado, J. P. Gazeau +1
In this short note we present a set of interesting and useful properties of a one-parameter family of sequences including factorial and subfactorial, and their relations to the Gam…