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Title: Explicit formulae for the eigenfunctions of the N-body Calogero model
Authors: Hallnas, Martin
Langmann, Edwin
Issue Date: 2006
Publisher: © IOP Publishing
Citation: HALLNÄS, M. and LANGMANN, E., 2006. Explicit formulae for the eigenfunctions of the N-body Calogero model. Journal of Physics A: Mathematical and General, 39 (14), pp. 3511 - 3533.
Abstract: We consider the quantum Calogero model, which describes N non-distinguishable quantum particles on the real line confined by a harmonic oscillator potential and interacting via two-body interactions proportional to the inverse square of the inter-particle distance. We elaborate a novel solution algorithm which allows us to obtain fully explicit formulae for its eigenfunctions, arbitrary coupling parameter and particle number. We also show that our method applies, with minor changes, to all Calogero models associated with classical root systems.
Description: This article was published in the Journal of Physics A: Mathematical and General [© IOP Publishing] and the definitive version is available at: http://dx.doi.org/10.1088/0305-4470/39/14/002
Version: Accepted for publication
DOI: 10.1088/0305-4470/39/14/002
URI: https://dspace.lboro.ac.uk/2134/11810
Publisher Link: http://dx.doi.org/10.1088/0305-4470/39/14/002
ISSN: 0305-4470
Appears in Collections:Published Articles (Maths)

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