English

Time Fractional Schro\"odinger Equation

Analysis of PDEs 2018-05-18 v1

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.

Keywords

Cite

@article{arxiv.1805.06844,
  title  = {Time Fractional Schro\"odinger Equation},
  author = {Arnaud Rougirel and Hassan Emamirad},
  journal= {arXiv preprint arXiv:1805.06844},
  year   = {2018}
}
R2 v1 2026-06-23T01:58:56.658Z