Collocation method for fractional quantum mechanics

Details Collocation method for fractional quantum mechanics Collocation method for fractional quantum mechanics

2009-12-14

arxiv.org/abs/0912.2562v1

Physics

Quantum Physics

13 pages, 5 figures, 3 tables

Scientific paper

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.

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