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Collocation method for fractional quantum mechanics

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 Schrödinger 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.

preprint2009arXivOpen access
Paolo AmoreFrancisco M. FernándezChristoph P. HofmannRicardo A. Sáenz
quant-ph
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Open access4 authors1 topic
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Paolo AmoreFrancisco M. FernándezChristoph P. HofmannRicardo A. Sáenz

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