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Explicit formulae for the eigenfunctions of the N-body Calogero model

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posted on 28.02.2013 by Martin Hallnas, Edwin Langmann
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.

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 Publishing

Version

AM (Accepted Manuscript)

Publication date

2006

Notes

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

ISSN

0305-4470

eISSN

1361-6447

Language

en

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