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arXiv · 0912.2562

Collocation method for fractional quantum mechanics

Paolo Amore·Francisco M. Fernández·Christoph P. Hofmann·Ricardo A. Sáenz
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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 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.

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Paolo Amore, Francisco M. Fernández, Christoph P. Hofmann, Ricardo A. Sáenz. 2009-12-14. Collocation method for fractional quantum mechanics. https://doi.org/10.1063/1.3511330

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