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Instantons in quantum mechanics

Yuri M Makeenko

Cambridge University Press eBooks, 2023

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Abstract

Instantons in quantum mechanics* It is often called the mass term.This terminology comes from quantum field theory, where the potential (4.1) is considered in the context of a spontaneous breaking of the reflection symmetry x → -x.In our quantum-mechanical problem, defined by the Euclidean action (4.3), the mass of the nonrelativistic particle is absorbed in τ which has, therefore, the dimension of [length] 2 .This has already been explained in Sect.1.6.

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