168 citations · 411 across the 26 of their papers we have counts for
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chao-dyn1999★ 33 cited
Quantization of multidimensional cat maps
A. M. F. Rivas, M. Saraceno, A. M. Ozorio de Almeida
In this work we study cat maps with many degrees of freedom. Classical cat maps are classified using the Cayley parametrization of symplectic matrices and the closely associated ce…
quant-ph1999★ 72 cited
The Weyl representation on the torus
A. M. F. Rivas, A. M. Ozorio de Almeida
We construct reflection and translation operators on the Hilbert space corresponding to the torus by projecting them from the plane. These operators are shown to have the same grou…