Second-Order Perturbation in Adaptive Perturbation Method
Publish Year: 1401
Type: Journal paper
Language: English
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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