Spectral estimates for the Heisenberg Laplacian on cylinders
Mathematical Physics
2016-01-07 v1 math.MP
Spectral Theory
Abstract
We study Riesz means of eigenvalues of the Heisenberg Laplacian with Dirichlet boundary conditions on a cylinder in dimension three. We obtain an inequality with a sharp leading term and an additional lower order term.
Keywords
Cite
@article{arxiv.1601.00984,
title = {Spectral estimates for the Heisenberg Laplacian on cylinders},
author = {Hynek Kovarik and Bartosch Ruszkowski and Timo Weidl},
journal= {arXiv preprint arXiv:1601.00984},
year = {2016}
}
Comments
Dedicated to Pavel Exner on the occasion of his 70th birthday