量子隧道效应和阿哈诺夫-玻姆效应

arXiv - MATH - Spectral Theory Pub Date : 2024-07-23 DOI:arxiv-2407.16524

Bernard Helffer, Ayman Kachmar

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摘要

我们研究了一个具有径向势阱和两个极点的阿哈诺夫-玻恩矢量势的哈密顿方程。假设势阱是对称的，我们推导出基态和第二态能量之间分裂的半经典渐近线。与势阱的贡献相比，阿哈诺夫-玻恩矢量势的通量效应阶数较低。

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Quantum Tunneling and the Aharonov-Bohm effect

We investigate a Hamiltonian with radial potential wells and an Aharonov-Bohm vector potential with two poles. Assuming that the potential wells are symmetric, we derive the semi-classical asymptotics of the splitting between the ground and second state energies. The flux effects due to the Aharonov-Bohm vector potential are of lower order compared to the contributions coming from the potential wells.

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arXiv - MATH - Spectral Theory

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