27:42
publiée le 21 novembre 2025
Local decay and asymptotic profile for the damped wave equation in the asymptotically Euclidean setting
De Rayan Fahs
Quantum tunneling in magnetic systems
Apparaît dans la collection : Wave propagation in guiding structures / Propagation d'ondes dans les structures guidées
We present results on quantum tunneling between deep potential wells, in the presence of a strong constant magnetic field. We construct a family of double well potentials containing examples for which the low-energy eigenvalue splitting vanishes, and hence quantum tunneling is eliminated. Further, by deforming within this family, the magnetic ground state can be made to transition from symmetric to anti-symmetric. However, for typical double wells, tunneling is not suppressed, and we provide a lower bound for the eigenvalue splitting. Our results suggest an approach to achieving enhanced flatness of bands in 2D crystalline materials.
