The invariant Berry phase of the quantum relativistic four-dimensional harmonic oscillator
作者: YossiBachar
刊名: Physics Essays, 2017, Vol.30 (1), pp.21-27
来源数据库: Physics Essays
DOI: 10.4006/0836-1398-30.1.21
原始语种摘要: We review our previous work on the existence of Lorentz invariant Berry phases generated in the Stueckleberg–Horwitz–Piron manifestly covariant quantum theory (SHP), also reviewed here, by a perturbed four dimensional harmonic oscillator. These phases are associated with a fractional perturbation of the azimuthal symmetry of the oscillator. They are computed numerically by using time independent perturbation theory and the definition of the Berry phase generalized to the framework of the SHP relativistic quantum theory. In this paper, we give an explicit proof of the Lorentz invariance.
全文获取路径: 物理学论文  (合作)
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关键词翻译
关键词翻译
  • oscillator 振荡器
  • harmonic 谐波
  • relativistic 相对论的
  • quantum 量子
  • Berry 柏利
  • dimensional 量纲的
  • fractional 分级的
  • generalized 广义
  • numerically 数字上
  • invariant 不变量