2020/07/17 by Chen‐Te Ma, Ma, Chen-Te · 1 citation
Physics and Astronomy · #Dark Matter and Cosmic Phenomena #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2007.09080
openalex publication_date 2020/07/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
The adaptive perturbation method decomposes a Hamiltonian by the diagonal elements and non-diagonal elements of the Fock state. The diagonal elements of the Fock state are solvable but can contain the information about coupling constants. We study the harmonic oscillator with the interacting potential, λ1x4/6+λ2x6/120, where λ1 and λ2 are coupling constants, and x is the position operator. In this study, each perturbed term has an exact solution. We demonstrate the accurate study of the spectrum and ⟨ x2⟩ up to the next leading-order correction. In particular, we study a similar problem of Higgs field from the inverted mass term to demonstrate the possible non-trivial application of particle physics.