Sharp Spectral Asymptotics for Dirac Energy. II. Magnetic Schroedinger operator
Abstract
I derive sharp semiclassical asymptotics of ∫ |eh(x,y,0)|2ω (x,y)dxdy where eh(x,y,τ) is the Schwartz kernel of the spectral projector of Magnetic Schroedinger operator and ω (x,y) is singular as x=y. I also consider asymptotics of more general expressions.
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