Buscar
Mostrando ítems 1-6 de 6
The Stratonovich-Weyl correspondence: A general approach to Wigner functions
(1989)
A formalism is proposed for developing phase-space representations of
elementary quantum systems under general invariance groups. Several
examples are discussed, including the usual Weyl calculus, the Moyal
formulation ...
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 ...
Reconstruction of manifolds in noncommutative geometry
(2008-01-31)
We show that the algebra A of a commutative unital spectral triple (A,H,D) satisfying several additional conditions, slightly stronger than those proposed by Connes, is the algebra of smooth functions on a compact spin manifold.
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 metaplectic representation and boson fields
(1991-12)
We construct explicitly the infinite-dimensional metaplectic representation and show how its use simplifies and rigorizes several questions in bosonic Quantum Field Theory. The representation permutes Gaussian elements in ...
Algebras of distributions suitable for phase-space quantum mechanics. III. The dual space of the algebra L_b(S)
(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 ...