Sharp Spectral Asymptotics for Dirac Energy. II. Magnetic Schroedinger operator

Details Sharp Spectral Asymptotics for Dirac Energy. II. Magnetic Schroedinger operator Sharp Spectral Asymptotics for Dirac Energy. II. Magnetic Schroedinger operator

2007-12-04

arxiv.org/abs/0712.0494v1

Mathematics

Analysis of PDEs

44 pp

Scientific paper

I derive sharp semiclassical asymptotics of \int |e_h(x,y,0)|^2\omega
(x,y)dxdy where e_h(x,y,\tau) is the Schwartz kernel of the spectral projector
of Magnetic Schroedinger operator and \omega (x,y) is singular as x=y. I also
consider asymptotics of more general expressions.

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