A mathematically rigorous formulation of the pseudopotential method

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Abstract

The Huang-Yang multipolar pseudopotential (see [K. Huang, Statistical Mechanics, Wiley, New York, 1963; K. Huang, C.N. Yang, Quantum-mechanical many-body problem with hard-sphere interaction, Phys. Rev. 105 (1957) 767-775]) is derived in a mathematically correct way using distribution theory. Up to recently, due to wrong numerical factors, only the first approximation term (the s-wave contribution) furnished correct results, and the conceptual validity of the higher approximations was in doubt, cf. [A. Derevianko, Revised Huang-Yang multipolar pseudopotential, Phys. Rev. A 72 (2005) 044701]. © 2007 Elsevier Inc. All rights reserved.

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Stampfer, F., & Wagner, P. (2008). A mathematically rigorous formulation of the pseudopotential method. Journal of Mathematical Analysis and Applications, 342(1), 202–212. https://doi.org/10.1016/j.jmaa.2007.12.004

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