24 citations · 88 across the 9 of their papers we have counts for
10 papers
Metaplectic and spin representations: a parallel treatment
Adrián J. Naranjo-Alvarado, Joseph C. Várilly
The analogies between symplectic and orthogonal groups, regarded as symmetries of real bilinear forms, are manifest in their (metaplectic and spin) projective representations. In f…
Ensuring locality in QFT via string-local fields
José M. Gracia-Bondía, Joseph C. Várilly
String-local fields constitute a relatively new tool for solving quantum field theory, stressing and embodying locality and positivity. We examine here their usefulness -- as well…
Archimedes' Revenge
Mark B. Villarino, Joseph C. Várilly, Runze Li
We offer an instructive solution to the problem of computing the volume of the orthogonal intersection of three hyperboloids.
On the kinematics of the last Wigner particle
José M. Gracia-Bondía, Joseph C. Várilly
Wigner's particle classification provides for "continuous spin" representations of the Poincaré group, corresponding to a class of (as yet unobserved) massless particles. Rather th…
Stora's fine notion of divergent amplitudes
Joseph C. Várilly, José M. Gracia-Bondía
Stora and coworkers refined the notion of divergent quantum amplitude, somewhat upsetting the standard power-counting recipe. This unexpectedly clears the way to new prototypes for…
Improved Epstein-Glaser renormalization in -space versus differential renormalization
José M. Gracia-Bondía, Heidy Gutiérrez, Joseph C. Várilly
Renormalization of massless Feynman amplitudes in -space is reexamined here, using almost exclusively real-variable methods. We compute a wealth of concrete examples by means of…
Testing one-body density functionals on a solvable model
Carlos L. Benavides-Riveros, Joseph C. Várilly
There are several physically motivated density matrix functionals in the literature, built from the knowledge of the natural orbitals and the occupation numbers of the one-body red…
The lowest excited configuration of harmonium
Carlos L. Benavides-Riveros, José M. Gracia-Bondía, Joseph C. Várilly
The harmonium model has long been regarded as an exactly solvable laboratory bench for quantum chemistry [Heisenberg, 1926]. For studying correlation energy, only the ground state…
Exact phase space functional for two-body systems
José M. Gracia-Bondía, Joseph C. Várilly
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 p…
Density functional theory on phase space
Philippe Blanchard, José M. Gracia-Bondía, Joseph C. Várilly
Forty-five years after the point de départ [1] of density functional theory, its applications in chemistry and the study of electronic structures keep steadily growing. However, th…