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2021

Bootstrap Method in Harmonic Oscillator

Aikawa, Yu, Morita, Takeshi, Yoshimura, Kota

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Recently, an application of the numerical bootstrap method to quantum mechanics was proposed, and it successfully reproduces the eigenstates of various systems.

However, it is unclear why this method works.
In order to understand this question, we study the bootstrap method in harmonic oscillators.
We find that the problem reduces to the Dirac's ladder operator problem and is exactly solvable analytically.

Bootstrap Method in Harmonic Oscillator · Around

Built on

Loop Equations and bootstrap methods in the lattice
Peter D. Anderson and Martin Kruczenski · 2017
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Bootstraps to strings: solving random matrix models with positivite
Henry W. Lin · 2020
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Bootstrapping Matrix Quantum Mechanics
Xizhi Han, Sean A. Hartnoll, and Jorrit Kruthoff · 2020
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