# Sharp Spectral Asymptotics for Dirac Energy - Mathematics > Analysis of PDEs

Abstract: I derive sharp semiclassical asymptotics of $\int |e hx,y,0|^2\omegax,ydx dy$ where $e hx,y,\tau$ is the Schwartz kernel of the spectral projectorand $\omegax,y$ is singular as $x=y$. I also consider asymptotics of moregeneral expressions.

Author: Victor Ivrii

Source: https://arxiv.org/