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On asymptotic expansions of twisted products
(1989-12)
The series development of the quantum-mechanical twisted product is
studied. The series is shown to make sense as a moment asymptotic
expansion of the integral formula for the twisted product, either
pointwise or in the ...
Relativistic quantum kinematics in the Moyal representation
(1990-03)
In this paper, we obtain the phase-space quantization for relativistic spinning particles. The main tool is what we call a "Stratonovich-Weyl quantizer" which relates functions on phase space to operators on a suitable ...
Exact phase space functional for two-body systems
(2010-11-21)
The determination of the two-body density functional from its one-body density is achieved for Moshinsky's harmonium model, using a phase-space formulation, thereby resolving its phase dilemma. The corresponding sign rules ...
Moyal planes are spectral triples
(2004-04)
Axioms for nonunital spectral triples, extending those introduced in the unital case by Connes, are proposed. As a guide, and for the sake of their importance in noncommutative quantum field theory, the spaces R^2N endowed ...
The significance of physiologically structured models for fish stock dynamics
(1988)
The present working document contains the initial papers of a series
whose ultimate purpose is to provide a realistic basis for a fresh
appraisal of both the surplus production and the dynamic pool
approaches to fishery ...
Faà di Bruno Hopf algebras
(2022-11)
This is a short review on the Faà di Bruno formulas, implementing composition of real-analytic functions, and a Hopf algebra associated to such formulas. This structure allows, among several other things, a short proof of ...
On summability of distributions and spectral geometry
(1998-01)
Modulo the moment asymptotic expansion, the Cesàro and parametric behaviours of distributions at infinity are equivalent. On the strength of this result, we construct the asymptotic analysis for spectral densities arising ...
Clifford Geometry: a Seminar
(1995-12-15)
Este documento fue desarrollado durante el seminario de posgrado SP--1313 (Seminario en Matemática A) en 1995; por razones de difusión, fue redactado en inglés. Se trata de una exposición de los aspectos de la geometría ...
The lowest excited configuration of harmonium
(2012)
The harmonium model has long been regarded as an exactly solvable laboratory bench for quantum chemistry [W. Heisenberg, Z. Phys. 38, 411 (1926)]. For studying correlation energy, only the ground state of the system has ...
Distinguished Hamiltonian theorem for homogeneous symplectic manifolds
(1991-09)
A diffeomorphism of a finite-dimensional flat symplectic manifold which is canonoid with respect to all linear and quadratic Hamiltonians preserves the symplectic structure up to a factor: so runs the "quadratic Hamiltonian ...