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On the standard form of the Bloch equation
(1979-03)
The requirement is often made in non-equilibrium statistical mechanics
that a transport equation should be derived as that which governs the
subdynamics relative to a (small) part of a (large) conservative
dynamical ...
Connes' noncommutative differential geometry and the Standard Model
(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 ...
Los grupos simplécticos y su representación en la teoría del producto cuántico. I. Sp(2,R)
(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 ...
Quantum electrodynamics in external fields from the spin representation
(1994-07)
Systematic use of the infinite-dimensional spin representation simplifies and rigorizes several questions in quantum field theory. This representation permutes "Gaussian" elements in the fermion Fock space, and is necessarily ...
Nonnegative mixed states in Weyl–Wigner–Moyal theory
(1988-03-21)
We classify the gaussian Wigner functions corresponding to mixed states and show that, unlike the case of pure states, not all nonnegative mixed states are gaussian.
Productos generalizados de funciones analíticas
(1990-09)
Los productos generalizados son de interés en el formalismo de la mecánica cuántica en espacios de fases. En este artículo se analizan las propiedades algebraicas y topológicas de diversos productos definidos en espacios ...
Quadratic Hamiltonians in phase-space quantum mechanics
(1989-07)
The dynamical evolution is described within the phase-space
formalism by means of the Moyal propagator, which is the symbol of the
evolution operator. Quadratic Hamiltonians on the phase space are
distinguished in that ...
Quantum gauge models without classical Higgs mechanism
(2010-09-15)
We examine the status of massive gauge theories, such as those usually obtained by spontaneous symmetry breakdown, from the viewpoint of causal (Epstein-Glaser) renormalization. The BRST formulation of gauge invariance in ...
A nonperturbative form of the spectral action principle in noncommutative geometry
(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 ...
Improved Epstein-Glaser renormalization in x-space versus differential renormalization
(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 ...