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A chainlike relative coordinate system for few-particle problems

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Abstract

Jacobi coordinates have often been used to treat few-particle quantum systems. In this paper, we propose an alternative coordinate system which is very easily generalized as the number of particles becomes larger. We make use of forms of the Laplace–Beltrami operator that are invariant under general coordinate transformations, and use Coulomb Sturmian basis sets to solve the N-body wave equation.

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Acknowledgments

James Avery was partially supported by the Danish Council for Independent Research Sapere Aude grant “Complexity through Logic and Algebra” (COLA).

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Authors and Affiliations

  1. Department of Computer Science, University of Copenhagen (DIKU), Copenhagen, Denmark

    James Emil Avery

  2. Department of Chemistry, University of Copenhagen, Copenhagen, Denmark

    John Scales Avery

Authors
  1. James Emil Avery
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  2. John Scales Avery
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Correspondence to James Emil Avery.

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Avery, J.E., Avery, J.S. A chainlike relative coordinate system for few-particle problems. J Math Chem 55, 584–597 (2017). https://doi.org/10.1007/s10910-016-0696-6

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  • DOI: https://doi.org/10.1007/s10910-016-0696-6

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