Abstract There are several proofs by now for the famous Cwikel–Lieb–Rozenblum (CLR) bound, which is a semiclassical bound on number of states Schrödinger operator, proven in 1970s. Of rather distinct Cwikel, Lieb, and Rozenblum, one Lieb gives best constant, Rozenblum does not seem to yield any reasonable estimate constants, Cwikel’s proof said give constant at least about 2 orders magnitude of...