Collocation method for fractional quantum mechanics
Quantum Physics
2015-05-14 v1
Abstract
We show that it is possible to obtain numerical solutions to quantum mechanical problems involving a fractional Laplacian, using a collocation approach based on Little Sinc Functions (LSF), which discretizes the Schr\"odinger equation on a uniform grid. The different boundary conditions are naturally implemented using sets of functions with the appropriate behavior. Good convergence properties are observed. A comparison with results based on a WKB analysis is performed.
Cite
@article{arxiv.0912.2562,
title = {Collocation method for fractional quantum mechanics},
author = {Paolo Amore and Francisco M. Fernández and Christoph P. Hofmann and Ricardo A. Sáenz},
journal= {arXiv preprint arXiv:0912.2562},
year = {2015}
}
Comments
13 pages, 5 figures, 3 tables