9 citations · 27 across the 6 of their papers we have counts for
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Energy transitions driven by phase space reflection operators
Alfredo M. Ozorio de Almeida
Phase space reflection operators lie at the core of the Wigner-Weyl representation of density operators and observables. The role of the corresponding classical reflections is know…
Translations and reflections on the torus: Identities for discrete Wigner functions and transforms
Marcos Saraceno, Alfredo M. Ozorio de Almeida
A finite Hilbert space can be associated to a periodic phase space, that is, a torus. A finite subgroup of operators corresponding to reflections and translations on the torus form…
Semiclassical evolution of correlations between observables
Alfredo M. Ozorio de Almeida, Olivier Brodier
The trace of an arbitrary product of quantum operators with the density operator is rendered as a multiple phase space integral of the product of their Weyl symbols with the Wigner…
Local quantum ergodic conjecture
E. Zambrano, W. P. Karel Zapfe, Alfredo M. Ozorio de Almeida
The Quantum Ergodic Conjecture equates the Wigner function for a typical eigenstate of a classically chaotic Hamiltonian with a delta-function on the energy shell. This ensures the…