Quantum tunneling in deep potential wells and strong magnetic field revisited
Mathematical Physics
2023-09-06 v5 math.MP
Spectral Theory
Abstract
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).]
Cite
@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}
}
Comments
41 pages; corrected and elaborated the proof of Proposition 6.5