Time Fractional Schroödinger Equation

Published 17 May 2018 in math.AP | (1805.06844v1)

Abstract: We propose a time fractional extension of the Schr{\"o}dinger equation that keeps the main mechanical and quantum properties of the classical Schr{\"o}dinger equation. This extension is shown to be equivalent to another well identified time first order PDE with fractional hamiltonian.

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