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Optimal Riesz mean inequalities for the Coulomb Hamiltonian
Abstract
We are interested in whether the Riesz means of the eigenvalues of the Coulomb Hamiltonian can be bounded by the corresponding semiclassical phase space integral. In dimensions two and three we determine the optimal Riesz exponent above which this bound holds.
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BibTeX
@misc{frank2026optimal,
title = {{Optimal Riesz mean inequalities for the Coulomb Hamiltonian}},
author = {Rupert L. Frank and Bernard Helffer and François Nicoleau},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.34181},
eprint = {2610.34181},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.34181},
}
RIS
TY - UNPB
TI - Optimal Riesz mean inequalities for the Coulomb Hamiltonian
AU - Rupert L. Frank
AU - Bernard Helffer
AU - François Nicoleau
PY - 2026
DA - 2026/10/25
PB - arXiv
DO - 10.48550/arxiv.2610.34181
UR - https://arxiv.org/abs/2610.34181
AB - We are interested in whether the Riesz means of the eigenvalues of the Coulomb Hamiltonian can be bounded by the corresponding semiclassical phase space integral. In dimensions two and three we determine the optimal Riesz exponent above which this bound holds.
ER -