Symmetric Triple Well with Non-Equivalent Vacua: Instantonic Approach

Abstract

We show that for the triple well potential with non-equivalent vacua, instantons generate for the low lying energy states a singlet and a doublet of states rather than a triplet of equal energy spacing. Our energy splitting formulae are also confirmed numerically. This splitting property is due to the presence of non-equivalent vacua. A comment on its generality to multi-well is presented.

10 pages, 3 figures, 2 tables; minor changes; added references

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