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• W2015020824 abstract "Application of the fractional calculus to quantum processes is presented. In particular, the quantum dynamics is considered in the framework of the fractional time Schrodinger equation (SE), which differs from the standard SE by the fractional time derivative: $ensuremath{partial}/ensuremath{partial}tensuremath{rightarrow}{ensuremath{partial}}^{ensuremath{alpha}}/ensuremath{partial}{t}^{ensuremath{alpha}}$. It is shown that for $ensuremath{alpha}=1/2$ the fractional SE is isospectral to a comb model. An analytical expression for the Green's functions of the systems are obtained. The semiclassical limit is discussed." @default.
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• W2015020824 date "2009-08-28" @default.
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• W2015020824 title "Fractional-time quantum dynamics" @default.
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• W2015020824 doi "https://doi.org/10.1103/physreve.80.022103" @default.
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