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Las partículas elementales según Wigner: aspectos clásicos y cuánticos
(2019)
En 1939, Wigner clasificó las representaciones unitarias irreducibles del grupo de Poincaré; desde entonces, tales representaciones se identifican con partículas con simetría relativista. Se conocen las representaciones ...
Noncommutative geometry and quantization
(2000-06)
We examine some recent developments in noncommutative geometry, including spin geometries on noncommutative tori and their quantization by the Shale-Stinespring procedure, as well as the emergence of Hopf algebras as a ...
Fourier analysis on the affine group, quantization and noncompact Connes geometries
(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 ...
Semigrupos dinámicos y las ecuaciones de Bloch en sistemas abiertos finitos
(1981-07)
En la Mecánica Estadística sin equilibrio, se suele derivar las ecuaciones de transporte de un sistema abierto del requisito que tal sistema forma parte de un gran sistema dinámico conservativo cerca del equilibrio. Las ...
Combinatorics of renormalization as matrix calculus
(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 ...
Phase-space representation for Galilean quantum particles of arbitrary spin
(1988-09)
The phase-space approach to quantization is extended to incorporate
spinning particles with Galilean symmetry. The appropriate phase space
is the coadjoint orbit R^6 x S^2. From two basic principles,
traciality and ...
On asymptotic expansions of twisted products
(1989-12)
The series development of the quantum-mechanical twisted product is
studied. The series is shown to make sense as a moment asymptotic
expansion of the integral formula for the twisted product, either
pointwise or in the ...
Relativistic quantum kinematics in the Moyal representation
(1990-03)
In this paper, we obtain the phase-space quantization for relativistic spinning particles. The main tool is what we call a "Stratonovich-Weyl quantizer" which relates functions on phase space to operators on a suitable ...
La geometría en su contexto histórico
(Las Matemáticas y su Enseñanza 6(17):21–34, 1995 octubre, 1995-10-15)
La geometría en los sistemas de enseñanza media ha sido retomado por diversas propuestas para remozar los programas de matemáticas; y en el caso de Costa Rica, con la puesta en práctica de un programa ambicioso que destaca ...
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 ...