TIME FRACTIONAL SCHRÖDINGER EQUATION

Arnaud Rougirel (1) , Hassan Emamirad (2)

1 LMA [Poitiers] - Laboratoire de mathématiques et applications [UMR 6086]
2 UP - Université de Poitiers = University of Poitiers

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.

Domaines: Equations aux dérivées partielles [math.AP]

Arnaud Rougirel, Hassan Emamirad. TIME FRACTIONAL SCHRÖDINGER EQUATION. 2018. ⟨hal-01794446⟩