OZORIO Home Page
|1. PERSONAL INFORMATION|
NAME: ALFREDO MIGUEL OZORIO DE ALMEIDA
|2. PROFESSIONAL INFORMATION|
HONOURS DEGREE IN PHYSICS AND MATHEMATICS, BRISTOL UNIVERSITY (U.K.)
1970. PhD IN PHYSICS, BRISTOL UNIVERSITY, 1973.
The thesis on electron diffraction in crystals was motivated by experimental work carried out in Bristol on electron microscopy. He continued to collaborate with experimental groups in the first years of the period (974-1994) in which he lectured at the State University of Campinas (UNICAMP). This work resulted in papers on the propagation of light (fibre-optics), as well as both diffuse x-ray scattering and Raman scattering from disordered crystals. In 1978, A. M. Ozorio de Almeida returned to Bristol for a year, retaking his collaboration with M.V.Berry.
The new theme, which continues to occupy him, is the semiclassical limit of quantum systems corresponding to classically chaotic systems. The semiclassical limit is completely understood only in the case of integrable systems. The “Bohigas Conjecture”, that the statistical fluctuations of the energy spectrum generally obey gaussian random matrix ensembles, was originally based on computational evidence. The dynamical explanation for the correlations between pairs of levels is based on Gutzwiller’s trace formula, relating the quantum energy spectrum to the classical periodic orbits, and on the “principle of uniformity” proposed by J.H.Hannay and A. M. Ozorio de Almeida in 1984. These subjects were included in his book “Hamiltonian Systems: Chaos and Quantization” (Cambridge University Press, 1988), the first to be published on “quantum chaology”.
Delving into the semi-classical limit of the phase space representation of quantum mechanics (the Weyl representation and the Wigner function), A.M. Ozorio de Almeida came up with unexpected geometrical sctructures. The review paper of 1998, listed above, integrates previous results, including new formulations of classical variational principles and generating functions, corresponding to an original derivation of path integrals in phase space.
moving to the Centro Brasileiro de Pesquisas Físicas (CBPF) in 1994, he
has sought to combine the research on the semiclassical limit of quantum
mechanics with applications, mainly in mesoscopic physics. The PRONEX
project that A. M. Ozorio de Almeida coordinates, combines researchers
from phsics departments in UNICAMP and in Minas Gerais as well as in
Rio. As part of this program, he directed the 1st Latin
American Winter School on “Chaos and Quantum Mechanics” at CBPF in
1998, with ninety participants. His recent activities include a course
presented at the Institut Poincaré in Paris, 1996.