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Singular Eigenfunctions of Calogero-Sutherland Type Systems and How to Transform Them into Regular Ones

Singular Eigenfunctions of Calogero-Sutherland Type Systems and How to Transform Them into Regular Ones

There exists a large class of quantum many-body systems of Calogero-Sutherland type where all particles can have different masses and coupling constants and which nevertheless are such that one can construct a complete (in a certain sense) set of exact eigenfunctions and corresponding eigenvalues, explicitly.Of course there is a catch …