V. Ivrii

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math.AP2007

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

Victor Ivrii

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(…

math.AP2007

Sharp Spectral Asymptotics for Dirac Energy

Victor Ivrii

I derive sharp semiclassical asymptotics of $\int ∣ e_{h} (x, y, 0) ∣^{2} ω (x, y) d x d y$ where $e_{h} (x, y, τ)$ is the Schwartz kernel of the spectral projector and $ω (x, y)$ is singular as $x = y$ .…

math.AP2006

Sharp Spectral Asymptotics for four-dimensional Schroedinger operator with a strong magnetic field. II

Victor Ivrii

I consider 4-dimensional Schrödinger operator with the generic non-degenerating magnetic field and for a generic potential I derive spectral asymptotics with the remainder estimate…