Nonclassical Eigenvalue Asymptotics *


1 he leading asymptotics for the growth of the number of eigenvalues of the two-dimensional Dirichlet Laplacian in the regions {(x, y)l 1x1 " / yl < 11 and for 4 + lxlD I yj4 all of which are non-Weyl because of infinite phase space volumes are computed. Along the way, a general inequality on quantum partition functions coriputed in a kind of Born… (More)