34 citations · 224 across the 28 of their papers we have counts for
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math-ph2013★ 9 cited
A Quantum Version of The Spectral Decomposition Theorem of Dynamical Systems, Quantum Chaos Hierarchy: Ergodic, Mixing and Exact
Ignacio Gomez, Mario Castagnino
In this paper we study Spectral Decomposition Theorem [1] and translate it to quantum language by means of the Wigner transform. We obtain a quantum version of Spectral Decompositi…
quant-ph2013★ 16 cited
Towards a definition of the Quantum Ergodic Hierarchy: Kolmogorov and Bernoulli systems
Mario Castagnino, Ignacio Gomez
In this paper we translate the two higher levels of the Ergodic Hierarchy [1], the Kolmogorov level and the Bernoulli level, to quantum language. Moreover, this paper can be consid…