High accuracy representation of the free propagator

Authors:
Patrick L. Nash;J. A. C. Weideman
Affiliations:
Department of Physics and Astronomy, The University of Texas at San Antonio, San Antonio, TX 78249-0697, USA;Applied Mathematics Division, University of Stellenbosch, Private Bag X1, Matieland 7602, South Africa
Venue:
Applied Numerical Mathematics
Year:
2009

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Abstract

A new matrix approximation to the free propagator of quantum mechanics is proposed. It is a variant of the well-known Fourier pseudospectral approximation. Numerical comparisons involving the linear and nonlinear Schrodinger equations are presented.