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- W1993615087 abstract "It is shown that the Weyl fractional derivative can quantize an open system. A fractional kicked rotor is studied in the framework of the fractional Schrödinger equation. The system is described by the non-Hermitian Hamiltonian by virtue of the Weyl fractional derivative. Violation of space symmetry leads to acceleration of the orbital momentum. Quantum localization saturates this acceleration, such that the average value of the orbital momentum can be a direct current and the system behaves like a ratchet. The classical counterpart is a nonlinear kicked rotor with absorbing boundary conditions." @default.
- W1993615087 created "2016-06-24" @default.
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- W1993615087 date "2007-03-06" @default.
- W1993615087 modified "2023-09-23" @default.
- W1993615087 title "Accelerator dynamics of a fractional kicked rotor" @default.
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- W1993615087 doi "https://doi.org/10.1103/physreve.75.037201" @default.
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