Semiclassical eigenvalue asymptotics for the Bochner Laplacian of a positive line bundle on a symplectic manifold
Spectral Theory
2019-08-06 v1 Mathematical Physics
Differential Geometry
math.MP
Abstract
We consider the Bochner Laplacian on high tensor powers of a positive line bundle on a closed symplectic manifold (or, equivalently, the semiclassical magnetic Schr\"odinger operator with the non-degenerate magnetic field). We assume that the operator has discrete wells. The main result of the paper states asymptotic expansions for its low-lying eigenvalues.
Keywords
Cite
@article{arxiv.1908.01756,
title = {Semiclassical eigenvalue asymptotics for the Bochner Laplacian of a positive line bundle on a symplectic manifold},
author = {Yuri A. Kordyukov},
journal= {arXiv preprint arXiv:1908.01756},
year = {2019}
}
Comments
24 pages. arXiv admin note: text overlap with arXiv:1809.06799