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We present a simplified derivation for the expression of the contribution of multi-instanton configurations in quantum mechanics in the semiclassical limit. We show that the expression one obtains is valid not only for the ground state energy but also for all excited states. We illustrate our method on a few new examples. We conjecture a relation between the various perturbative expansions of these multi-instanton contributions.
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Jean Zinn‐Justin (1983) studied this question.
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