OZORIO Home Page

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1. PERSONAL INFORMATION

NAME:    ALFREDO MIGUEL OZORIO DE ALMEIDA
DATE OF BIRTH: 25 / 04 / 46
PLACE OF BIRTH:  
FLORIDA, UNITED STATES OF AMERICA
NATIONALITY: 
BRAZILIAN

OFFICE MAILING ADDRESS:
CENTRO BRASILEIRO DE PESQUISAS FÍSICAS
RUA DR. XAVIER SIGAUD 150 – URCA, CEP 22290-180
RIO DE JANEIRO, RJ
OFFICE PHONE NUMBER:   586-7185 
FAX (OFFICE):   
586-7400
E- MAIL: 
ozorio@cbpf.br
INTERNET:
http://www.cbpf.br/~ozorio

2. PROFESSIONAL INFORMATION

ACADEMIC DEGREES:   JOINT HONOURS DEGREE IN PHYSICS AND MATHEMATICS, BRISTOL UNIVERSITY (U.K.) 1970. PhD IN PHYSICS, BRISTOL UNIVERSITY, 1973.

FIELD(S) OF SPECIALIZATION: 
CLASSICAL AND QUANTUM MECHANICS

LINES OF RESEARCH: 
CHAOTIC DYNAMICAL SYSTEMS IN CLASSICAL MECHANICS, SEMICLASSICAL LIMIT OF QUANTUM MECHANICS

PRIZES, AWARDS, MEDALS AND DECORATIONS:

ACADEMIC PRIZE – INSTITUTO DE FÍSICA – UNICAMP, 1988.


SELECTED PAPERS:

BERRY,M.V., BUXTON, B.F., e OZORIO DE ALMEIDA, A .M. Between wave and particile – The semiclassical method for interpreting high-energy electron micrographs of crystals. Rad. Effects, 20, 1-14, 1973.

OZORIO DE ALMEIDA, A.M. Electromagnetic waves in two-dimensionally inho mogeneous media. J. Opt. Soc. Am. 68, 1748-1756, 1977.

HANNAY, J.H. e OZORIO DE ALMEIDA,  A. M.  Periodic Orbits and the correlation function for the density of states. J. Phys. A, 17 3429-3440, 1984.

OZORIO DE ALMEIDA, A. M. e HANNAY, J.H. 
Resonant periodic orbits and the semiclassical energy spectrum.  J. Phys. A, 20, 5873-5883, 1987.

OZORIO DE ALMEIDA, A. M.  Hamiltonian systems: chaos and quantization. Cambridge University Press, Cambridge, 1988 (Brazilian version: UNICAMP Editorial).

OZORIO DE ALMEIDA, A. M. 
The Weyl representation in classical and quantum mechanics. Phys. Reports 215, 265-344.

 

3. BIOGRAPHY


Born 25/04/46 in Miami, USA, his father’s first diplomatic post, A.M. Ozorio de Almeida, roamed through several cities for his early education. He entered the undergraduate physics course at the Catholic University-Rio in 1966. Restarting his studies at the University of Bristol (U.K.) in 1967, he obtained a combined honours degree in physics and mathematics in 1970. There followed a Ph.D in physics at the same university, supervised by Prof. M.V.Berry.

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.

After 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.