Anharmonic oscillators and the null bootstrap

• URL: http://arxiv.org/abs/2309.06381v2
• Date: Sun, 24 Sep 2023 18:00:08 GMT
• Title: Anharmonic oscillators and the null bootstrap
• Authors: Renjan Rajan John and Krishna Priya R
• Abstract summary: We employ the technique of perturbative analytic null bootstrap to obtain the energy eigenvalues and ladder operators of the sextic anharmonic oscillator up to second order in the coupling.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We employ the technique of perturbative analytic null bootstrap to obtain the energy eigenvalues and ladder operators of the sextic anharmonic oscillator up to second order in the coupling. We confirm our results by deriving the same from traditional perturbation theory. We further perform the bootstrap approach on non-Hermitian PT symmetric Hamiltonians, focusing on the shifted harmonic oscillator and the celebrated cubic anharmonic oscillator.

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