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- W4318996903 abstract "A fractional generalization of the Floquet theorem is suggested for fractional Schrodinger equations (FTSE)s with the time-dependent periodic Hamiltonians. The obtained result, called the fractional Floquet theorem (fFT), is formulated in the form of the Mittag-Leffler function, which is considered as the eigenfunction of the Caputo fractional derivative. The suggested formula makes it possible to reduce the FTSE to the standard quantum mechanics with the time-dependent Hamiltonian, where the standard Floquet theorem is valid. Two examples related to quantum resonances are considered as well to support the obtained result." @default.
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- W4318996903 date "2023-03-01" @default.
- W4318996903 modified "2023-09-28" @default.
- W4318996903 title "Fractional Floquet theory" @default.
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- W4318996903 doi "https://doi.org/10.1016/j.chaos.2023.113196" @default.
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