Physics – Condensed Matter
Scientific paper
1994-02-03
Physics
Condensed Matter
10pages Latex
Scientific paper
10.1088/0305-4470/27/7/002
We find a set of the exact eigenfunctions which provide the energy spectrum for the quantum $N$-body Calogero-Sutherland model for fermions or bosons with SU($\nu$) spin degrees of freedom moving in a harmonic confinement potential. The eigenfunctions are explicitly constructed as a simple product of the Jastrow wave function for the ground state and the Hermite polynomials introduced to generate the excited states. The corresponding energy spectrum is given by a sum of the correlated ground-state energy and of the excited-state energy for SU($\nu$) free particles in a harmonic well.
Kawakami Norio
Okiji A.
Vacek K.
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