Quantitative Hardy inequalities for magnetic Hamiltonians
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 Schrödinger and Pauli operators. Pauli operators with Aharonov-Bohm magnetic field are discussed as well.
Authors
- Hynek Kovařík (ORCID: https://orcid.org/0000-0003-3647-8447)
- Luca Fanelli (ORCID: https://orcid.org/0000-0003-1714-1611)
Institutions
- Ikerbasque (ES)
- University of the Basque Country (ES)
- Basque Center for Applied Mathematics (ES)
- University of Brescia (IT)
Publication Details
- Journal
- Communications in Partial Differential Equations
- Published
- 2024-10-02
- DOI
- https://doi.org/10.1080/03605302.2024.2403010
- Citations
- 2
- Primary Topic
- Spectral Theory in Mathematical Physics
- Type
- article
- Field-Weighted Citation Impact
- 1.78
Funders
- Eusko Jaurlaritza
- Agencia Estatal de Investigación