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

arXiv0712.0494MaRDI QIDQ6207731

Publication date: 4 December 2007

Abstract: I derive sharp semiclassical asymptotics of int |e_h(x,y,0)|^2omega (x,y)dxdy where e_h(x,y, au) 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.

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35Pxx)

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