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Explicit formulae for the eigenfunctions of the N-body Calogero model
journal contribution
posted on 2013-02-28, 12:18 authored by Martin Hallnas, Edwin LangmannWe 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.
History
School
- Science
Department
- Mathematical Sciences
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.Publisher
© IOP PublishingVersion
- AM (Accepted Manuscript)
Publication date
2006Notes
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/10.1088/0305-4470/39/14/002ISSN
0305-4470eISSN
1361-6447Publisher version
Language
- en