Symmetry Results in Two-Dimensional Inequalities for Aharonov–Bohm Magnetic Fields
Ari Laptev
15-Jun-2021, 13:30-14:30 (3 years ago)
Abstract: We study functional and spectral properties of perturbations of a magnetic second order differential operator on a circle.
This operator appears when considering the restriction to the unit circle of a two dimensional Schrödinger operator with the Bohm-Aharonov vector potential.
We prove some Hardy-type inequalities and sharp Keller-Lieb-Thirring inequalities.
mathematical physicsanalysis of PDEsquantum physics
Audience: researchers in the topic
Mathematical Challenges in Quantum Mechanics 2021 Workshop
Organizers: | Raffaele Carlone*, Claudio Cacciapuoti, Diego Noja*, Andrea Posilicano |
*contact for this listing |
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