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Frequency-dependent time decay of Schrödinger flows - MaRDI portal

Frequency-dependent time decay of Schrödinger flows (Q1650228)

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Frequency-dependent time decay of Schrödinger flows
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    Frequency-dependent time decay of Schrödinger flows (English)
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    2 July 2018
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    The authors study the classical time-decay properties of the Schrödinger flow generalized by electromagnetic Schrödinger Hamiltonians. Firstly, they show that the presence of negative eigenvalues can destroy the time-decay for the corresponding Schrödinger flow. Secondly, they improve the decay for higher positive modes when the classical time-decay holds. The proof relies on the spectral analysis of the quantum harmonic oscillator.
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    Schrödinger equation
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    electromagnetic potentials
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    Schrödinger flow
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    decay estimates
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