Lower Bounds on Quantum Tunneling for Excited States

• URL: http://arxiv.org/abs/2506.12650v1
• Date: Sat, 14 Jun 2025 22:35:36 GMT
• Title: Lower Bounds on Quantum Tunneling for Excited States
• Authors: Charles L. Fefferman, Jacob Shapiro, Michael I. Weinstein,
• Abstract summary: We revisit the problem of quantum tunneling for a particle moving in the continuum, and in the absence of a magnetic field.<n>In all spatial dimensions, we extend previous results to the case where the single-well potential satisfies reflection-symmetry.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We revisit the problem of quantum tunneling for a particle moving in the continuum, and in the absence of a magnetic field. In all spatial dimensions, we extend previous results to the case where the single-well potential satisfies reflection-symmetry.

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