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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 lowest excited configuration of harmonium
(2012)
The harmonium model has long been regarded as an exactly solvable laboratory bench for quantum chemistry [W. Heisenberg, Z. Phys. 38, 411 (1926)]. For studying correlation energy, only the ground state of the system has ...
La enseñanza de las matemáticas con un énfasis histórico
(1986)
Se reconsidera el problema de cuánto y cómo integrar la historia de la
matemática en el currículo de pregrado universitario en matemáticas.
Se pasa revista a varias alternativas y se propone una en particular:
el diseño ...
Distinguished Hamiltonian theorem for homogeneous symplectic manifolds
(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 ...
Moyal quantization with compact symmetry groups and noncommutative harmonic analysis
(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 ...
Some remarks on dilating semigroups of completely positive mappings
(1980-08)
We reconsider the problem of embedding a dissipative dynamical system in a conservative one; and we compare some of the partial solutions which have been recently proposed.
Sums over paths adapted to quantum theory in phase space
(1986)
The concept of phase space plays a decisive role in the study of the transition from classical to quantum physics. This is particularly the case in areas such as nonlinear dynamics and chaos, geometric quantization and the ...
Orbifolds are not commutative geometries
(2008)
In this note we show that the crucial orientation condition for commutative geometries fails for the natural commutative spectral triple of an orbifold M/G.
Stora's fine notion of divergent amplitudes
(2016-11)
Stora and coworkers refined the notion of divergent quantum amplitude, somewhat upsetting the standard power-counting recipe. This unexpectedly clears the way to new prototypes for free and interacting field theories of ...
Dilation of a non-quasifree dissipative evolution
(1981-03)
A semigroup evolution for the 1/2-spin which admits a conservative dilation is known to be governed by a Bloch equation in a standard form. Here we construct a conservative dilation directly from the Bloch equation, thus ...