2 citations · 4 across the 4 of their papers we have counts for
4 papers
Overview of the Heisenberg--Weyl Algebra and Subsets of Riordan Subgroups
Silvia Goodenough, Christian Lavault
In a first part, we are concerned with the relationships between polynomials in the two generators of the algebra of Heisenberg--Weyl, its Bargmann--Fock representation with differ…
An interface between physics and number theory
Gérard Henry Edmond Duchamp, Vincel Hoang Ngoc Minh, Allan I. Solomon +1
We extend the Hopf algebra description of a simple quantum system given previously, to a more elaborate Hopf algebra, which is rich enough to encompass that related to a descriptio…
Statistics on Graphs, Exponential Formula and Combinatorial Physics
L. Poinsot, G. H. E. Duchamp, S. Goodenough +1
The concern of this paper is a famous combinatorial formula known under the name "exponential formula". It occurs quite naturally in many contexts (physics, mathematics, computer s…
Rational Hadamard products via Quantum Diagonal Operators
Gérard Henry Edmond Duchamp, Silvia Goodenough, Karol A. Penson
We use the remark that, through Bargmann-Fock representation, diagonal operators of the Heisenberg-Weyl algebra are scalars for the Hadamard product to give some properties (like t…