| 用经典混沌模拟量子不可计算态 |
| |
| 引用本文： | 刘小娟,海文华,方建树,张细利. 用经典混沌模拟量子不可计算态[J]. 数学物理学报(A辑), 2001, 21(1): 43-47 |
| |
| 作者姓名： | 刘小娟 海文华 方建树 张细利 |
| |
| 作者单位： | [1]湘潭师范学院物理系，湘潭411101 [2]湖南师范大学物理系，长沙410081 |
| |
| 基金项目： | 国家自然科学基金(NO.19874019)与湖南省教委科技基金资助 |
| |
| 摘 要： | 阐明某些微扰Ｓｃｈｒ¨ｏｄｉｎｇｅｒ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．
|
| 关 键 词： | 混沌 量子态 不可计算性 微扰 |
| 修稿时间： | 1999-06-28 |
Using Classical Chaos To Simulate Quantum Uncomputable State |
| |
| LIU Xiao-Juan,HAI Wen-Hua,FANG Jian-Shu,ZHANG Xi-Li. Using Classical Chaos To Simulate Quantum Uncomputable State[J]. Acta Mathematica Scientia, 2001, 21(1): 43-47 |
| |
| Authors: | LIU Xiao-Juan HAI Wen-Hua FANG Jian-Shu ZHANG Xi-Li |
| |
| Abstract: | 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. |
| |
| Keywords: | Chaos Quantum state Incomputability Perturbation. |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《数学物理学报(A辑)》浏览原始摘要信息 |
|
点击此处可从《数学物理学报(A辑)》下载免费的PDF全文 |
