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Second-Order Perturbation in Adaptive Perturbation Method

Publish Year: 1401
Type: Journal paper
Language: English
View: 153

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Document National Code:

JR_JAHP-2-5_003

Index date: 10 December 2022

Second-Order Perturbation in Adaptive Perturbation Method abstract

The perturbation method is an approximation scheme with a solvable leading order. The standard way is to choose a non-interacting sector for the leading order. The adaptive perturbation method improves the solvable part by using all diagonal elements for a Fock state. We consider the harmonic oscillator with the interacting term, λ1x4/6 + λ2x6/120, where λ1 and λ2 are coupling constants, and x  is the position operator. The spectrum shows a quantitative result from the second-order, less than 1 percent error, compared to a numerical solution when turning off the λ2. When we turn on the λ2, more deviation occurs, but the error is still less than 2 percent. We show a quantitative result beyond a weak-coupling region. Our study should provide interest in the holographic principle and strongly coupled boundary theory.

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Second-Order Perturbation in Adaptive Perturbation Method authors

Chen-Te Ma

Asia Center for Theoretical Physics