Listar Matemática por autor "2e4522d1-b8f0-42e1-ab62-b4d0c9c2ea8c"

Mostrando ítems 1-20 de 40

    • A nonperturbative form of the spectral action principle in noncommutative geometry 

      Figueroa González, Héctor; Gracia Bondía, José M.; Lizzi, Fedele; Várilly Boyle, Joseph C. (1998-07)
      Using the formalism of superconnections, we show the existence of a bosonic action functional for the standard K-cycle in noncommutative geometry, giving rise, through the spectral action principle, only to the Einstein ...

    • Algebras of distributions suitable for phase-space quantum mechanics. III. The dual space of the algebra L_b(S) 

      Gracia Bondía, José M.; Várilly Boyle, Joseph C.; Figueroa González, Héctor (1989-09)
      The strong dual space of the topological algebra L_b(S), where S is the Schwartz space of smooth declining functions on R, may be obtained as an inductive limit of projective limits of Hilbert spaces. To that end, we ...

    • Algebras of distributions suitable for phase‐space quantum mechanics. I 

      Gracia Bondía, José M.; Várilly Boyle, Joseph C. (1988-06-04)
      The twisted product of functions on R^2N is extended to a *-algebra of tempered distributions which contains the rapidly decreasing smooth functions, the distributions of compact support, and all polynomials, and moreover ...

    • Algebras of distributions suitable for phase‐space quantum mechanics. II. Topologies on the Moyal algebra 

      Várilly Boyle, Joseph C.; Gracia Bondía, José M. (1988-06-04)
      The topology of the Moyal *-algebra may be defined in three ways: the algebra may be regarded as an operator algebra over the space of smooth declining functions either on the configuration space or on the phase space ...

    • Algunas fórmulas útiles para productos torcidos 

      Várilly Boyle, Joseph C.; De Faria Campos, Edison; Gracia Bondía, José M. (1986)
      Investigamos dos modificaciones del producto cuántico o torcido de funciones sobre el espacio de fases, y proporcionamos una colección de fórmulas útiles en el cálculo con estos productos. La primera modificación es la ...

    • Clifford Geometry: a Seminar 

      Várilly Boyle, Joseph C.; Gracia Bondía, José M. (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 ...

    • Combinatorics of renormalization as matrix calculus 

      Ebrahimi Fard, Kurusch; Gracia Bondía, José M.; Guo, Li; Várilly Boyle, Joseph C. (2006)
      We give a simple presentation of the combinatorics of renormalization in perturbative quantum field theory in terms of triangular matrices. The prescription, that may be of calculational value, is derived from first ...

    • Connes' noncommutative differential geometry and the Standard Model 

      Várilly Boyle, Joseph C.; Gracia Bondía, José M. (1993-11)
      In this paper, the Connes-Lott approach to the phenomenological Lagrangian of the standard theory of elementary particles is reviewed in detail. The paper is self-contained, in that the necessary foundations in noncommutative ...

    • Connes' tangent groupoid and strict quantization 

      Cariñena Marzo, José F.; Clemente Gallardo, Jesús; Follana, Eduardo; Gracia Bondía, José M.; Rivero, Alejandro; Várilly Boyle, Joseph C. (1999-12)
      We address one of the open problems in quantization theory recently listed by Rieffel. By developing in detail Connes' tangent groupoid principle and using previous work by Landsman, we show how to construct a strict flabby ...

    • Correction to: The chirality theorem 

      Gracia Bondía, José M.; Mund, Jens; Várilly Boyle, Joseph C. (2018-10)

    • Density functional theory on phase space 

      Blanchard, Philippe; Gracia Bondía, José M.; Várilly Boyle, Joseph C. (2012)
      Forty-five years after the point de départ [Hohenberg and Kohn, Phys. Rev. 1964, B864, 136] of density functional theory, its applications in chemistry and the study of electronic structures keep steadily growing. However, ...

    • Distinguished Hamiltonian theorem for homogeneous symplectic manifolds 

      Cariñena Marzo, José F.; Gracia Bondía, José M.; Ibort Latre, Luis Alberto; López, Carlos; Várilly Boyle, Joseph C. (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 ...

    • Exact phase space functional for two-body systems 

      Gracia Bondía, José M.; Várilly Boyle, Joseph C. (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 ...

    • Faà di Bruno Hopf algebras 

      Figueroa González, Héctor; Gracia Bondía, José M.; Várilly Boyle, Joseph C. (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 ...

    • Fourier analysis on the affine group, quantization and noncompact Connes geometries 

      Gayral, Victor; Gracia Bondía, José M.; Várilly Boyle, Joseph C. (2008-04)
      We find the Stratonovich-Weyl quantizer for the nonunimodular affine group of the line. A noncommutative product of functions on the half-plane, underlying a noncompact spectral triple in the sense of Connes, is obtained ...

    • From geometric quantization to Moyal quantization 

      Gracia Bondía, José M.; Várilly Boyle, Joseph C. (1995-06)
      We show how the Moyal product of phase-space functions, and the Weyl correspondence between symbols and operator kernels, may be obtained directly using the procedures of geometric quantization, applied to the symplectic ...

    • Los grupos simplécticos y su representación en la teoría del producto cuántico. I. Sp(2,R) 

      Várilly Boyle, Joseph C.; Gracia Bondía, José M. (1987)
      El álgebra de observables de la teoría cuántica encierra una representación del grupo simpléctico. Esta puede usarse a su vez para resolver problemas de caracterización de estados y síntesis espectral en la formulación ...

    • Improved Epstein-Glaser renormalization in x-space versus differential renormalization 

      Gracia Bondía, José M.; Gutiérrez Garro, Heidy; Várilly Boyle, Joseph C. (2014-09)
      Renormalization of massless Feynman amplitudes in x-space is reexamined here, using almost exclusively real-variable methods. We compute a wealth of concrete examples by means of recursive extension of distributions. This ...

    • Moyal planes are spectral triples 

      Gayral, Victor; Gracia Bondía, José M.; Iochum, Bruno; Schücker, Thomas; Várilly Boyle, Joseph C. (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 ...

    • Moyal quantization with compact symmetry groups and noncommutative harmonic analysis 

      Figueroa González, Héctor; Gracia Bondía, José M.; Várilly Boyle, Joseph C. (1990)
      The phase-space approach to quantization of systems whose symmetry group is compact and semisimple is developed from two basic principles: covariance and traciality. This generalizes results and methods already implemented ...