Abstract
We propose a time-fractional extension of the Schrödinger equation that keeps the main mechanical and quantum properties of the classical Schrödinger equation. This extension is shown to be equivalent to another well identified time first-order PDE with fractional Hamiltonian.
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This research was in part supported by a Grant from IPM # 91470221.
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Emamirad, H., Rougirel, A. Time-fractional Schrödinger equation. J. Evol. Equ. 20, 279–293 (2020). https://doi.org/10.1007/s00028-019-00525-5
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DOI: https://doi.org/10.1007/s00028-019-00525-5