2021/08/31 by Jyotirmoy Bhattacharya, Diptarka Das, Sayan Kumar Das +2 · 1 citation
Physics and Astronomy · #hep-th #quant-ph
paper · pdf · doi:10.1016/j.physletb.2021.136785
V1: 14 pages, 8 figures, V2: 14 pages, 12 figures, new appendix (B) added, new references added, published version
arxiv created 2022/01/17 · arxiv updated 2022/01/19
We study the effectiveness of the numerical bootstrap techniques recently developed in arXiv:2004.10212 for quantum mechanical systems. We find that for a double well potential the bootstrap method correctly captures non-perturbative aspects. Using this technique we then investigate quantum mechanical potentials related by supersymmetry and recover the expected spectra. Finally, we also study the singlet sector of O(N) vector model quantum mechanics, where we find that the bootstrap method yields results which in the large N agree with saddle point analysis.