重新审视深势阱与强磁场中的量子隧穿
数学物理
2023-09-06 v5 math.MP
谱理论
摘要
受 C. Fefferman、J. Shapiro 和 M. Weinstein 近期论文的启发，我们研究具有对称双势阱和均匀磁场的哈密顿量的量子隧穿。在强磁场与支撑不交的深势阱同时取极限的情况下，会发生隧穿现象，我们推导了其量级的精确估计。[Lower bound on quantum tunneling for strong magnetic fields. SIAM J. Math. Anal. 54(1), 1105-1130 (2022).]
引用
@article{arxiv.2208.13030,
title = {Quantum tunneling in deep potential wells and strong magnetic field revisited},
author = {B. Helffer and A. Kachmar},
journal= {arXiv preprint arXiv:2208.13030},
year = {2023}
}
备注
41 pages; corrected and elaborated the proof of Proposition 6.5