用经典混沌模拟量子不可计算态  

Using Classical Chaos To Simulate Quantum Uncomputable State

作　　者：刘小娟[1] 海文华[1] 方建树[1] 张细利[1] 

机构地区：[1]湖南师范大学物理系

出　　处：《数学物理学报（A辑）》2001年第1期43-47,共5页Acta Mathematica Scientia

基　　金：国家自然科学基金(NO.19874019);湖南省教委科技基金资助

摘　　要：阐明某些微扰Ｓｃｈｒｏｄｉｎｇｅｒ方程与经典混沌系统的线性化方程具有类似的数学形式，利用后者模拟前者，得到与经典混沌解相应的积分形式波函数，微扰无反射势阱的例子说明，这种波函数象经典混沌解一样不可计算，但它的量子态和能量则是可预言的．It is shown that some perturbed Schrodinger equations possess similar form with the linearized equations of the classically chaotic systems. Using the latter to simulate the former, a formal wave funetion is obtained, which corresponds to the classically chaotic solution. Example of the perturbed reflectionless potential exhibits that, as the classically chaotic solution this wave function is uncomputable. However, quantum states and energy of the system is predictable.

关 键 词：混沌 量子态 不可计算性 微扰 薛定谔方程 无反射势阱 

分 类 号：O413[理学—理论物理]