论文标题
深层井中的量子隧穿和强烈的磁场重新审视
Quantum tunneling in deep potential wells and strong magnetic field revisited
论文作者
论文摘要
受到C. Fefferman，J。Shapiro和M. Weinstein的最新论文$^*$的启发，我们研究了具有对称双孔和均匀磁场的哈密顿量的量子隧道。在强磁场的同时极限和具有不相交支撑的深势孔的同时，会发生隧穿，我们得出了其幅度的准确估计。 $^*\，$ [用于强磁场的量子隧穿上的下限。 Siam J. Math。肛门。 54（1），1105-1130（2022）。]
Inspired by a recent paper$^*$ by C. Fefferman, J. Shapiro and M. Weinstein, we investigate quantum tunneling for a Hamiltonian with a symmetric double well and a uniform magnetic field. In the simultaneous limit of strong magnetic field and deep potential wells with disjoint supports, tunneling occurs and we derive accurate estimates of its magnitude. $^*\,$[Lower bound on quantum tunneling for strong magnetic fields. SIAM J. Math. Anal. 54(1), 1105-1130 (2022).]
