LEWIS-RIESENFELD PHASES AND BERRY PHASES IN THEQUANTUM SYSTEM OF TIME-DEPENDENT HARMONICOSCILLATOR WITH A MOVING BOUNDARY
Li Ling, Bo‐Zang Li, Liang Jiu-Qing +1 more
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.
Acta Physica Sinica•Jan 1, 2001•1 citation