Semiclassical eigenvalue asymptotics for the Bochner Laplacian of a\n positive line bundle on a symplectic manifold

2019/08/05 by Yuri A. Kordyukov, Kordyukov, Yuri A.
Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Advanced Mathematical Physics Problems

paper · pdf · doi:10.48550/arxiv.1908.01756

Abstract

We consider the Bochner Laplacian on high tensor powers of a positive line\nbundle on a closed symplectic manifold (or, equivalently, the semiclassical\nmagnetic Schr "odinger operator with the non-degenerate magnetic field). We\nassume that the operator has discrete wells. The main result of the paper\nstates asymptotic expansions for its low-lying eigenvalues.\n

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