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arXiv · 0712.0494

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

Victor Ivrii
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Abstract

I derive sharp semiclassical asymptotics of \int |e_h(x,y,0)|^2ω(x,y)dxdy where e_h(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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Victor Ivrii. 2007-12-04. Sharp Spectral Asymptotics for Dirac Energy. II. Magnetic Schroedinger operator. https://arxiv.org/abs/0712.0494

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