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We give a review of the mathematical and physical properties of the celebrated The system of one dimensional particles with inverse-square pairwise interactions has assumed a “Jack-in-the-box ” role in mathematical and theoretical physics over the last three decades: it pops up in various seemingly disparate situations, it is a recurring and unifying theme in high energy and condensed matter physics and
Alexios P. Polychronakos (Wed,) studied this question.