稳态光折变空间孤子传输的量子理论  

Quantum theory of steady state photorefractive spatial solitons propagation

作　　者：江金环[1] 王永龙[1] 李子平[1] 

机构地区：[1]北京工业大学应用数理学院,北京100022

出　　处：《物理学报》2004年第12期4070-4074,共5页Acta Physica Sinica

基　　金：北京工业大学青年基金(批准号:JQ0607200370)资助的课题~~

摘　　要：稳态光折变空间孤子系统可用奇异Lagrange量描述,系统含Dirac约束.通常按对应原理写出孤子系统的量子 对易关系和量子运动方程时,未计及约束.对稳态光折变空间光孤子约束系统进行Dirac括号量子化,给出了系统 的对易关系和量子场方程.在线性近似下给出量子非线性薛定谔方程的微扰解,并讨论了孤子的压缩性质.The system of steady state photorefractive spatial optical solitons can be described by a singular Lagrangian.To our knowledge,the commutation relations and quantum equations of motion are given by using corresponding principle,however it is not satisfactory since the constraints are ignored.In this paper,the commutation relations and quantum equations of motion are derived based on the Dirac theory of constrained systems.The perturbation solution in screening soliton case is found and the squeezing properties are discussed.

关 键 词：光折变 空间孤子 对易关系 量子理论 空间光孤子 奇异 压缩性质 传输 线性近似 量子化 

分 类 号：O413.1[理学—理论物理] O431.2[理学—物理]