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arXiv · 2401.00304

Tunneling estimates for two-dimensional perturbed magnetic Dirac systems

Esteban Cárdenas·Benjamín Pavez·Edgardo Stockmeyer
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Abstract

We prove tunneling estimates for two-dimensional Dirac systems which are localized in space due to the presence of a magnetic field. The Hamiltonian driving the motion admits the decomposition $H = H_0 + W$, where $H_0 $ is a rotationally symmetric magnetic Dirac operator and $W$ is a position-dependent matrix-valued potential satisfying certain smoothness condition in the angular variable. A consequence of our results are upper bounds for the growth in time of the expected size of the system and its total angular momentum.

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Esteban Cárdenas, Benjamín Pavez, Edgardo Stockmeyer. 2023-12-30. Tunneling estimates for two-dimensional perturbed magnetic Dirac systems. https://arxiv.org/abs/2401.00304

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