【摘要】 根据Lewis Riesenfeld的量子不变量理论 ,计算了一维动壁无限深势阱内频率随时间变化的谐振子的Lewis Riesenfeld相位 ,发现刘登云文中“非绝热Berry相位”与Lewis Riesenfeld相位中的几何部分完全一致 .也许更为重要的是 ,证明了至少对于做正弦振动的边界 ,在绝热近似下 ,该系统不存在非零的Berry相位 .更多还原

【Abstract】 Using the Lewis-Riesenfeld′s quantum invariant theory,the Lewis-Riesenfeld phases for a time-dependent frequency harmonic oscillator,which is confined in an infinite well with a moving wall,are calculated.We find that the geometric part of the Lewis-Riesenfeld phases are identical with the “non-adiabatic Berry phases” described by D.Y.Liu in Acta Phys.Sin.It may be important that our results,at least for the system with a sinusoidally oscillating boundary,do not show any non-trivial Berry phase acquired.更多还原