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arXiv · 2208.13030

Quantum tunneling in deep potential wells and strong magnetic field revisited

B. Helffer·A. Kachmar
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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).]

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B. Helffer, A. Kachmar. 2022-08-27. Quantum tunneling in deep potential wells and strong magnetic field revisited. https://arxiv.org/abs/2208.13030

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