Nonadiabatic Geometrical Phase during Cyclic Evolution of a Gaussian Wave Packet
Nonadiabatic Geometrical Phase during Cyclic Evolution of a Gaussian Wave Packet
复制标题
DOI：
10.1103/physrevlett.78.2507
复制
发表时间：
1997-03
影响因子：
8.6
通讯作者：
Y. Ge;M. Child
中科院分区：
文献类型：
--
作者：
Y. Ge;M. Child
对于含时哈密顿量，研究了薛定谔方程的高斯波包解。得到了具有非绝热时间周期哈密顿量的广义谐振子的周期波包解的几何相位。发现几何位相与{h_bar}无关，等于经典非绝热Hannay角的一半。证明了Hannay角与经典作用量无关，也不涉及平均化。{版权所有}{ITAL 1997}{ITAL The American Physitive Society}
The Gaussian wave packet solution to the Schr{umlt o}dinger equation is studied for time-dependent Hamiltonians. The geometrical phase is obtained for a cyclic wave packet solution of the generalized harmonic oscillator with a nonadiabatic time-periodic Hamiltonian. It is found that the geometrical phase is independent of {h_bar}, and is equal to one-half of the classical nonadiabatic Hannay angle. The Hannay angle is shown to be independent of the classical action and does not involve averaging. {copyright} {ital 1997} {ital The American Physical Society}