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Algebras of distributions suitable for phase‐space quantum mechanics. I
(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 ...
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 ...
Una retrospección a la matemática griega
(2000-12-01)
Este artículo apareció originalmente en la revista cultural
semestral Laberintos, publicado por el Instituto de Enseñanza
Superior ÉLAIOS, de Zaragoza, en un número dedicado al Año Mundial
de las Matemáticas (2000). ...
The interface of noncommutative geometry and physics
(2004-01)
As a mathematical theory per se, noncommutative geometry (NCG) is by now well established. From the beginning, its progress has been crucially influenced by quantum physics: we briefly review this development in recent ...
S-matrix from the metaplectic representation
(1992-03)
We show how the S-matrix for bosons in an external field can be derived directly from the infinite dimensional metaplectic representation, in terms of the classical scattering operator.
String chopping and time-ordered products of linear string-localized quantum fields
(2018-03)
For a renormalizability proof of perturbative models in the Epstein-Glaser scheme with string-localized quantum fields, one needs to know what freedom one has in the definition of time-ordered products of the interaction ...
Correction to: The chirality theorem
(2018-10)
The Dirac operator on SU_q(2)
(2005)
We construct a 3^+ summable spectral triple (A(SU_q(2)),H,D) over the quantum group SU_q(2) which is equivariant with respect to a left and a right action of U_q(su(2)). The geometry is isospectral to the classical case ...
Metric properties of the fuzzy sphere
(2013-02)
The fuzzy sphere, as a quantum metric space, carries a sequence of metrics which we describe in detail. We show that the Bloch coherent states, with these spectral distances, form a sequence of metric spaces that converge ...
The chirality theorem
(2018-03)
We show how chirality of the weak interactions stems from string independence in the string-local formalism of quantum field theory.