|XXXVII Workshop on Geometric Methods in Physics||1-7.07.2018|
|VII School on Geometry and Physics||25-29.06.2018|
Participants of Workshop
Participants of School
A Direct Proof for an Eigenvalue Problem by Counting Lagrangian Submanifolds
Here we consider a kind of Schrödinger operators called the Bochner-Laplacian. Using Jensen's Formula and Vandermonde convolution, we show directly that for each $k=0,1,2,\ldots\,$, the number of Lagrangian submanifolds which satisfy the Maslov quantization condition is just equal to the multiplicity of the $k$th eigenvalue of the operator.
|Event sponsored by:|