Computational Solution for the Double Well
Nondilute Pair Configuration

David N. Williams

Randall Laboratory of Physics
The University of Michigan
Ann Arbor, MI 48109-1120
June 7, 1989

Abstract: We show numerically the existence and stability at coincidence of the nondilute, multi-instanton pair configuration in the (1+0)-dimensional, double well model, defined according to a theory presented elsewhere. This follows up an earlier proof that the multi-instanton pair is an effective critical point of the classical action if it exists and is stable if it is unique. We do not prove numerical uniqueness, but find no indication of nonuniqueness. The coincident pair action has a minimum at coincidence which is a factor 0.82047 times the dilute pair action, which is the maximum, and we find no other local minimum.

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