We solve the N-body Calogero problem, i.e. N particles in 1 dimension subject to a two-body interaction of the form 1 2 ∑ i,j[(xi − xj) + g/(xi − xj)], by constructing annihilation and creation operators of the form ai = 1 √ 2 (xi±ip̂i), where p̂i is a modified momentum operator obeying Heisenberg-type commutation relations with xi, involving explicitly permutation operators. On the other hand, D...
