Journal of Statistical Physics, Vol. 76, Nos. 1/2, 1994. p. 497-504.
We submit to the community of physicists and mathematical physicists the following problem: prove that the ground-state energy of a system of N particles without spin, without statistics, and interacting by central forces increases with angular momentum. For two particles, this is obvious. For more than two we give a number of arguments which support our conjecture.