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 Schrödinger equation (SE), which differs from the standard SE by the fractional time derivative: . It is shown that for 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.
- Received 2 June 2009
DOI:https://doi.org/10.1103/PhysRevE.80.022103
©2009 American Physical Society