Quantitative Hardy inequality for magnetic Hamiltonians
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866916096500563968 |
|---|---|
| author | Fanelli, Luca Kovarik, Hynek |
| author_facet | Fanelli, Luca Kovarik, Hynek |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_09963 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantitative Hardy inequality for magnetic Hamiltonians Fanelli, Luca Kovarik, Hynek Mathematical Physics 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. |
| title | Quantitative Hardy inequality for magnetic Hamiltonians |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2401.09963 |