Abstract
We study some solutions of the Schrodinger equation, \( i \frac{\theta u}{\theta t}= H(t)u\) where \( H (.)\) is a periodic time-dependent Hamiltonian acting on a Hilbert space \( H \).We prove sojourn time estimates, first by means of an extension of the energy time Uncertainty Principle, and then, for a specific model by explicit computations.
Mathematics Subject Classification (2010). 81Q10, 81Q15.
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Asch, J., Bourget, O., Cortés, V.H., Fernández, C. (2012). Remarks on Sojourn Time Estimates for Periodic Time-dependent Quantum Systems. In: Benguria, R., Friedman, E., Mantoiu, M. (eds) Spectral Analysis of Quantum Hamiltonians. Operator Theory: Advances and Applications, vol 224. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0414-1_1
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DOI: https://doi.org/10.1007/978-3-0348-0414-1_1
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