Quantitative Hardy inequality for magnetic Hamiltonians
Mathematical Physics
2024-01-19 v1 math.MP
Abstract
In this paper we present a new method of proof of Hardy type inequalities for two-dimensional quantum Hamiltonians with a magnetic field of finite flux. Our approach gives a quantitative lower bound on the best constant in these inequalities both for Schr\"odinger and Pauli operators. Pauli operators with Aharonov-Bohm magnetic field are discussed as well.
Keywords
Cite
@article{arxiv.2401.09963,
title = {Quantitative Hardy inequality for magnetic Hamiltonians},
author = {Luca Fanelli and Hynek Kovarik},
journal= {arXiv preprint arXiv:2401.09963},
year = {2024}
}