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A general description of quantum dynamical spreading over an orthonormal basis and applications to Schrödinger operators

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  • We discuss the long-time behavior of solutions to the Schrödinger equation in some separable Hilbert space, with particular emphasis on the spreading over some orthonormal basis. Various ways of studying wavepacket spreading from this perspective are described and their inter-relations investigated. We also state and discuss known results for concrete quantum systems relative to this general framework.
    Mathematics Subject Classification: Primary: 81Q10; Secondary: 47B36, 47N50.

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