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High Energy Physics - Theory

arXiv:2108.08757 (hep-th)
[Submitted on 19 Aug 2021 (v1), last revised 15 Sep 2021 (this version, v2)]

Title:Bootstrapping Simple QM Systems

Authors:David Berenstein, George Hulsey
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Abstract:We test the bootstrap approach for determining the spectrum of one dimensional Hamiltonians, following the recent approach of Han, Hartnoll, and Kruthoff. We focus on comparing the bootstrap method data to known analytical predictions for the hydrogen atom and the harmonic oscillator. We resolve many energy levels for each, and more levels are resolved as the size of the matrices used to solve the problem increases. Using the bootstrap approach we find the spectrum of the Coulomb and harmonic potentials converge exponentially fast.
Comments: 14 pages, 9 figures. v2: minor changes, references added
Subjects: High Energy Physics - Theory (hep-th); High Energy Physics - Lattice (hep-lat); Quantum Physics (quant-ph)
Cite as: arXiv:2108.08757 [hep-th]
  (or arXiv:2108.08757v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2108.08757

Submission history

From: David Berenstein [view email]
[v1] Thu, 19 Aug 2021 15:49:20 UTC (681 KB)
[v2] Wed, 15 Sep 2021 19:52:23 UTC (680 KB)
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