Explicit formulae for the eigenfunctions of the N-body Calogero model
2006 (English)In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, Vol. 39, no 14, 3511-3533 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2006. Vol. 39, no 14, 3511-3533 p.
generalized hermite-polynomials, sutherland model, quantum, systems, operator
IdentifiersURN: urn:nbn:se:kth:diva-26941DOI: 10.1088/0305-4470/39/14/002ISI: 000237152500005ScopusID: 2-s2.0-33645134516OAI: oai:DiVA.org:kth-26941DiVA: diva2:373098
QC 201011302010-11-302010-11-302010-11-30Bibliographically approved