Physics – Mathematical Physics
Scientific paper
2005-11-10
J. Phys. A 39 (2006), 3511.
Physics
Mathematical Physics
Scientific paper
10.1088/0305-4470/39/14/002
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 formulas for its eigenfunctions, for 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.
Hallnäs Martin
Langmann Edwin
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