The Contribution of Instanton-Antiinstanton Fluctuations to the Ground State Energy in Supersymmetric Quantum Mechanical Models
Avinash Khare
TL;DR
This paper examines the limitations of using instanton-anti-instanton fluctuations to determine the ground state energy in supersymmetric quantum mechanics, highlighting issues in double and triple well potentials.
Contribution
It demonstrates that the direct functional integral approach with instanton-anti-instanton fluctuations is unreliable for certain supersymmetric models.
Findings
Method fails for double well potential models
Method fails for triple well potential models
Highlights limitations of instanton-based approaches in SUSY QM
Abstract
I show that the method of finding if the ground state energy is nonzero or not by saturating the functional integral directly with instanton-anti-instanton type fluctuations is not reliable either for the double or for the triple well potential models in supersymmetric quantum mechanics.
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Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Quantum, superfluid, helium dynamics · Quantum Mechanics and Non-Hermitian Physics