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(Seminar) Accurate Study from Adaptive Perturbation Method

10/21 2020
  • Title (Seminar) Accurate Study from Adaptive Perturbation Method
  • Speaker
  • Date
  • Venue
  • Abstract

    CAS Key Laboratory of Theoretical Physics

    Institute of Theoretical Physics

    Chinese Academy of Sciences

     Seminar

    Title

    题目

    Accurate Study from Adaptive Perturbation Method

    Speaker

    报告人

    马承德

    Affiliation

    所在单位

    South China Normal University; University of Cape Town

    Date

    日期

    2020年10月21日(周三)9:30-11:30

    Venue

    地点

    南楼6420

    Contact Person

    所内联系人

    李理

    Abstract

    摘要

    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 interacting constants. The exact solution for each perturbed term can obtain in the harmonic oscillator with the interacting potential, λ1x4/6+λ2x6/120, where λ1 and λ2 are coupling constants, and x is the position operator. 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.