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<p>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.</p>

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Lower Bounds on Quantum Tunneling for Excited States

  • 期刊论文

  • 发表日期：

    2025年9月15日

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  • Charles L. Fefferman,
  • Jacob Shapiro,
  • Michael I. Weinstein

摘要

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.