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

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Authors	BERING LARSEN Klaus
Year of publication	2025
Type	Article in Periodical
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.
Related projects:	Dualities and higher derivatives