Publication details

A Note on Instantons in a 1D Same-Level Asymmetric Double Well

Authors

BERING LARSEN Klaus

Year of publication 2025
Type Peer-reviewed scientific article
MU Faculty or unit

Faculty of Science

Citation
web http://arxiv.org/abs/2505.14557
Keywords Quantum Mechanics; Instantons; Euclidean Path Integral; Double Well; Triple Well;
Description We prove formulas for the multi-instanton corrections to the overlap and energies of a 1D same-level asymmetric double well using the Euclidean path integral. The asymmetry primarily means that the potential at neighboring wells can have different Hessians/curvatures, which modify Coleman's original formulas. Examples of symmetric double and triple wells are worked out.
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