[1]杨双波.两个动能耦合Morse振子系统的分岔现象(英文)[J].南京师大学报(自然科学版),2008,31(01):52-57.
 Yang Shuangbo.Bifurcation Phenomena of Two Kinetically Coupled Morse Oscillators[J].Journal of Nanjing Normal University(Natural Science Edition),2008,31(01):52-57.
点击复制

两个动能耦合Morse振子系统的分岔现象(英文)()
分享到:

《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

卷:
第31卷
期数:
2008年01期
页码:
52-57
栏目:
物理学
出版日期:
2008-03-30

文章信息/Info

Title:
Bifurcation Phenomena of Two Kinetically Coupled Morse Oscillators
作者:
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):
Yang Shuangbo
School of Physical Science and Technology, Nanjing Normal University, Nanjing 210097, China
关键词:
分岔 Morse振子 局域模 本征模 谐振
Keywords:
b ifurcation M orse oscillator localm ode norm almode resonan ce
分类号:
O413.1
摘要:
从两个未耦合的Morse振子出发,首先研究了两个动能耦合的Morse振子系统局域模区域内的分岔结构.发现对弱耦合参数δ,相空间中局域模谐振mn共存与系统能量ε通过不等式21/1-ε≥m/n≥21-ε相关联.同时报导了对称伸缩本征模的分岔现象与能量及耦合常数的关系.在弱耦合参数δ下,在非常低的能量区域内,对称伸缩经历一个pitch-fork分岔.随后,局域模随能量的增加逐渐形成.对中等高能量ε,对称伸缩本征征模在耦合参数范围[-1,0]内由不稳定到稳定到不稳定等交

参考文献/References:

[ 1] Jaff C, Brum er P. Loca l and no rm al modes: A class ica l perspec tive[ J]. J Chem Phy s, 1980, 73( 11): 5 646-5 658.
[ 2] M atsush itaT, Terasaka T. M ass dependence o f theKo lm ogorov-A rno ld-M oser stability and low er resonances in the k inetica lly coup led tw o-degree-of freedom M orse system [ J]. Chem Phys Lett, 1983, 100: 138-144.
[ 3] Yang shuangbo. Torus quantization in loca lmode reg ion for two k inetica lly coupledM orse oscillators[ J]. Journa l o fN an jing No rm alUn iv ers ity: Natural Sc ience, 2007, 30( 1): 33-38.
[ 4] Y ang shuangbo. Sem iclassical wave function of resonance torus by evo lv ing state a long period ic o rbits[ J]. Journa l o fN an jing No rm alUn iv ers ity: Natural Sc ience, 2006, 29( 2): 35-39.
[ 5] Yang shuangbo, K ellm an M E. Addendum to d irect trajectory m ethod for sem iclassica l wave functions[ J]. Phys Rev A, 2002, 65( 3): 034103-1-034103-4.
[ 6] Yang Shuangbo, Kellm anM ichae l E. Perspec tive on sem ic lassica l quan tiza tion: H ow periodic orb its converg e to quantizing tor i[ J]. Phys Rev A, 2002, 66( 5) : 052113-1-052113-11.

备注/Memo

备注/Memo:
Foundation item: Supported by theN at ion alN atura lScience Foundat ion ofCh ina( 10674073 ) and Nan jing Norm alUn ivers ity ( 2005102XYY1805)
Biography: Yang Shuangbo, born in 1958, p rofessor, m ajored in atom ic, mo lecular phys ics and non linear phys ics. E-m ail:yangshuangbo@ n jnu.edu. cn
更新日期/Last Update: 2013-05-05