ERMAKOV SYSTEMS, EXACT SOLUTION, AND GEOMETRICAL ANGLES AND PHASES

被引：72

作者：

MAAMACHE, M

机构：

[1] Institut de Physique, Université de Sétif

来源：

PHYSICAL REVIEW A | 1995年 / 52卷 / 02期

关键词：

D O I：

10.1103/PhysRevA.52.936

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Ermakov systems are pairs of coupled, time-dependent nonlinear dynamical equations possessing a joint constant of motion. We show how to derive the Ermakov system from nonharmonic oscillators. We present a detailed study of Ermakov systems from a classical and quantum point of view. Finally the nonadiabatic Hannay's angle and Berry's phase for the system are calculated along with its adiabatic limit.

引用

页码：936 / 940

页数：5

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