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

2007/12/04 by Victor Ivrii, Ivrii, Victor
Mathematics · Physics and Astronomy · #35P #Analysis of PDEs (math.AP) #FOS: Mathematics #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.0712.0494

openalex publication_date 2007/12/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

I derive sharp semiclassical asymptotics of ∫ |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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