A Note on Instantons in a 1D Same-Level Asymmetric Double Well
| Authors | |
|---|---|
| Year of publication | 2025 |
| Type | Article in Periodical |
| MU Faculty or unit | |
| 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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