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arxiv: 1906.00867 · v1 · pith:H7AXEJLInew · submitted 2019-06-03 · 🧮 math.SP · math-ph· math.MP

A note on spectrum and quantum dynamics

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keywords timeaveragebairedependdynamicsequationescapeevery
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We show, in the same vein of Simon's Wonderland Theorem, that, typically in Baire's sense, the rates with whom the solutions of the Schr\"odinger equation escape, in time average, from every finite-dimensional subspace, depend on subsequences of time going to infinite.

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