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Iterative Solutions of the Schrödinger Equation

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Abstract

In the first example containing a long ranged potential, the long range part of the solution is obtained by an iterative Born-series type method. The convergence is illustrated for a case with the long range part of the potential given by C 6/r 6. Accuracies of 1 : 108 are achieved after 8 iterations. The second example iteratively calculates the solution of a non-linear Gross–Pitaevskii equation for condensed Bose atoms contained in a trap at low temperature.

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  1. Physics Department, University of Connecticut, Storrs, CT, 06269, USA

    George Rawitscher

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  1. George Rawitscher
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Correspondence to George Rawitscher.

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Rawitscher, G. Iterative Solutions of the Schrödinger Equation. Few-Body Syst 55, 821–824 (2014). https://doi.org/10.1007/s00601-014-0827-1

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  • DOI: https://doi.org/10.1007/s00601-014-0827-1

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