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Accurate Evaluation of Quantum IntegralsCombining an appropriate finite difference method with Richardson's extrapolation results in a simple, highly accurate numerical method for solving a Schrodinger's equation. Important results are that error estimates are provided, and that one can extrapolate expectation values rather than the wavefunctions to obtain highly accurate expectation values. We discuss the eigenvalues, the error growth in repeated Richardson's extrapolation, and show that the expectation values calculated on a crude mesh can be extrapolated to obtain expectation values of high accuracy.
Document ID
20020015803
Document Type
Preprint (Draft being sent to journal)
Authors
Galant, D. C. (NASA Ames Research Center Moffett Field, CA United States)
Goorvitch, D. (NASA Ames Research Center Moffett Field, CA United States)
Witteborn, Fred C.
Date Acquired
August 20, 2013
Publication Date
January 1, 1995
Subject Category
Theoretical Mathematics
Funding Number(s)
PROJECT: RTOP 188-41-53
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.