Resolvent estimates for the magnetic Hamiltonian with singular vector potentials and applications
| Autor: | Yang, Mengxuan |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00220-022-04427-5 |
| Popis: | For the magnetic Hamiltonian with singular vector potentials, we analytically continue the resolvent to a logarithmic neighborhood of the positive real axis and prove resolvent estimates there. As applications, we obtain asymptotic locations of resonances and a local smoothing estimate for solutions of the corresponding Schr\"odinger equation. Comment: v2: 21 pages, 2 figures, to appear in Communications in Mathematical Physics |
| Databáze: | arXiv |
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