[1]汪昭,杨双波.势阱中的混沌及其量子对应[J].南京师大学报(自然科学版),2009,32(03):31-36.
　Wang Zhao,Yang Shuangbo.Chaos in Potential Well and Classical-Quantum Correspondence[J].Journal of Nanjing Normal University(Natural Science Edition),2009,32(03):31-36.
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势阱中的混沌及其量子对应()
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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

卷:
第32卷
期数:
2009年03期
页码:
31-36
栏目:
物理学
出版日期:
2009-09-30

文章信息/Info

Title:
Chaos in Potential Well and Classical-Quantum Correspondence
作者:
汪昭;杨双波;
南京师范大学物理科学与技术学院, 江苏南京210097
Author(s):
Wang Zhao; Yang Shuangbo
School of Physical Science and Technology,Nanjing Normal University,Nanjing 210097,China
关键词:
势阱;  混沌;  经典量子对应
Keywords:
po ten tia lw e l; l chaos;  c lassic-quantum correspondence
分类号:
O413.1
摘要:
通过数值计算,研究了势阱谐振子耦合系统的经典动力学,发现随着能量E越低,或势阱阱宽2A越宽,或耦合系数λ越大,系统混沌程度越强.通过不同条件下最近邻能级间距分布与对应的经典动力学比较发现量子-经典结果符合得很好.对一些低能疤痕量子态找到了与其对应的经典周期轨道.
Abstract:
Th is paper num er ica lly studied the class ica l dynam ics fo r the coupled po tential we ll and theH arm on ic oscillator system. It is found that the low er the system energy, o r the w ider the w idth o f the potentia l we l,l or the larger the coup ling constant, the stronger the chaos. By compar ing w ith the nearest ne ighbo r spac ing d istribution o f energy levels, w e found that the quantum results agreew ith the c lassica l resu lts very w el.l For some low energy quantum scar ing states, w e found the corresponding c lassica l per iod ic orbits.

参考文献/References:

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[ 5] W a terland R L, Yuan JM, M artens C C, et a.l C lassica-l quantum co rrespondence in the presence o f globa l chao s[ J]. Phy s
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备注/Memo

备注/Memo:
基金项目: 国家自然科学基金( 10674073)资助项目.
通讯联系人: 杨双波, 教授, 研究方向: 理论物理及非线性物理. E-m ail:yangshuangbo@ njnu. edu. cn
更新日期/Last Update: 2013-04-23