[1]程荣贵,杨双波.耦合系统混沌态的半经典量子化[J].南京师大学报(自然科学版),2009,32(04):55-58.
　Cheng Ronggui,Yang Shuangbo.Semiclassical Quantization of Chaotic States for a Coupled System[J].Journal of Nanjing Normal University(Natural Science Edition),2009,32(04):55-58.
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耦合系统混沌态的半经典量子化()
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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04期
页码:
55-58
栏目:
物理学
出版日期:
2009-12-30

文章信息/Info

Title:
Semiclassical Quantization of Chaotic States for a Coupled System
作者:
程荣贵;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):
Cheng Ronggui; Yang Shuangbo
School of Physics and Technology,Nanjing Normal University,Nanjing 210097,China
关键词:
耦合系统;  混沌态;  半经典量子化;  绝热近似
Keywords:
coupled sy stem;  chaotic state;  sem iclass ica l quantization;  ad iaba tic approx im ation
分类号:
O413.1
摘要:
运用绝热定理的方法研究耦合系统混沌态的半经典量子化.发现对于合适选择的零级哈密顿量,经典混沌态和规则态的量子化结果,在绝热近似下有相近的精度.这个量子化方法可以很容易地直接应用到多自由度系统.
Abstract:
By the m ethod of adiaba tic theorem, this pape r studies the sem iclass ica l quantization o f a chaotic state for a coupled system. It is found tha t for a properly chosen ze ro th orderH am ilton ian, under ad iaba tic approx im ation, the result o f quan tiza tion for bo th the chao tic state and the regular sta te has the sim ilar prec ision. Th is m ethod of quan tiza tion can be easily applied to mu ltidim ensional sy stem.

参考文献/References:

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[ 2]  B rillou in L. Rema rques sur lam can ique ondulato ire [ J]. Phys Rad ium, 1926, 7( 12): 353-368.
[ 3] Ke ller J B. Co rrected Bohr-Somm erfe ld quantum conditions fo r nonsepa rable system s [ J]. Ann Phys, 1958, 4( 2): 180-188.
[ 4] Ehrenfest P. Kon Verslagen Sources o f Quantum M echan ics[M ] . Amesterdam: Akad, 1916: 412-433.
[ 5] Grozdanov T P, Slov ev E A. Sem ic lassical quantisation of the hydrogen atom in crossed electric and m agne tic fie lds [ J].Phys B, 1982, 15( 8): 1 195-1 204.
[ 6]  SkodjeR T, Bo rondo F, ReinhardtW P. The sem iclassica l quantiza tion of nonsepa rable system s using them ethod of adiaba-tic sw itching [ J]. Chem Phys, 1985, 82( 10): 4 611-4 632.
[ 7]  No id D W, M arcus R A. Sem ic lassical calcu lation o f bound sta te in am ultid im ensiona l sy stem for nearly 1 1 degenerate systems [ J]. Chem Phys, 1977, 67( 2) : 559-567

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@ n jnu. edu. cn
更新日期/Last Update: 2013-04-23