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- W4381551145 abstract "We study the stability of the Schrodinger equation generated by time-dependent Hamiltonians with constant form domain. That is, we bound the difference between solutions of the Schrodinger equation by the difference of their Hamiltonians. The stability theorem obtained in this article provides a sharper bound than those previously obtained in the literature. This makes it a potentially useful tool for time-dependent problems in Quantum Physics, in particular for Quantum Control. We apply this result to prove two theorems about global approximate controllability of infinite-dimensional quantum systems. These results improve and generalise existing results on infinite-dimensional quantum control." @default.
- W4381551145 created "2023-06-22" @default.
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- W4381551145 date "2023-06-16" @default.
- W4381551145 modified "2023-10-18" @default.
- W4381551145 title "On a sharper bound on the stability of non-autonomous Schrodinger equations and applications to quantum control" @default.
- W4381551145 doi "https://doi.org/10.48550/arxiv.2306.10203" @default.
- W4381551145 hasPublicationYear "2023" @default.
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