[1]杨双波.两运动耦合的Morse振子系统局域模区域内环量子化(英文)[J].南京师大学报(自然科学版),2007,30(01):33-38.
　Yang Shuangbo.Torus Quantization in Local Mode Region for Two Kinetically Coupled Morse Oscillators[J].Journal of Nanjing Normal University(Natural Science Edition),2007,30(01):33-38.
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两运动耦合的Morse振子系统局域模区域内环量子化(英文)()
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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

卷:
第30卷
期数:
2007年01期
页码:
33-38
栏目:
物理学
出版日期:
2007-03-30

文章信息/Info

Title:
Torus Quantization in Local Mode Region for 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:
EBK量子化条件;  量子化环;  局域模
Keywords:
EBK quant ization cond ition;  quant iz ing torus;  localmode
分类号:
O413.1
摘要:
报导了两运动耦合的Morse振子系统局域模区域内环量子化的方法和结果.发现当量子化环远离谐振带及局域-本征分界线(Local-Normal Separatrix)时,半经典量子化的结果与量子力学的结果符合得很好.
Abstract:
Th is pap er reports them ethod and the resu lts of th e torus quan tizat ion in localmode reg ion for a system of tw o k inet ical ly coup ledM orse oscillators. It is found th at the sem iclassical resu lt agrees very w ellw ith the quan tum resu lt as th e quan t iz ing torus is far from resonance and loca-l norma l separatrix.

参考文献/References:

[ 1] Char les Ja ffé , Brum er P. Local and norm a lmodes: A c lassical pe rspective[ J] . J Chem Phy s, 1980, 73( 11): 5 646-5 658.
[ 2] S ibert III E L, H ynes J T , Re inha rdtW P. C lassical dynam ics o f energy transfer betw een bonds in ABA triatom ics [ J].J Chem Phys, 1982, 77( 7): 3 583-3 594.
[ 3] Yang Shuangbo. Sem ic lassica lw ave function of a resonance torus by evo lv ing state a long per iod ic orb its[ J] . Journal of Nanjing Normal University: Natural Science, 2006, 29( 2): 35-39.
[ 4] Yang Shuangbo, Kellm anM E. Addendum to d irect trajectory m ethod for sem ic lassica l w ave func tions [ J]. Phys Rev A,2002, 65( 3): 034103-1-034103-4.
[ 5] Yang Shuangbo, K ellm anM E. Sem ic lassica l wave function in the chao tic reg ion from a quantizing cantorus[ J]. Chemical Physics, 2006, 322( 1): 30-40.
[ 6] PressW H, Teuko lsky S, Ve tter lingW T, et a.l Num er ica lRec ipes in Fo rtran77[M ]. 2nd ed. New York: Cambr idge University Press, 1999 : 102-104.
[ 7] Yang Shuangbo, Ke llmanM E. Perspective on sem ic lassical quantization: H ow per iodic o rb its converg e to quantizing tori[ J] . Phy s RevA, 2002, 66( 5): 052113-1-052113-11.

相似文献/References:

[1]杨双波.两运动耦合的Morse振子系统本征模区域内环量子化(英文)[J].南京师大学报(自然科学版),2008,31(02):45.
　Yang Shuangbo.Torus Quantization in Normal Mode Region for Two Kinetically Coupled Morse Oscillators[J].Journal of Nanjing Normal University(Natural Science Edition),2008,31(01):45.

备注/Memo

备注/Memo:
Foundation item: Supported by the N at iona lNatu ral Science Foundation of Ch in a( 10674073) , the N atural Science Foundat ion of Educat ion D epartment of J iangsu Province( 04K JB140063 ) .
Biography: Yang Shuangbo, b orn in 1958, associate professor, ma jored in atom ic, m olecu lar physics and nonl inear phys ics.E-m ail:yangshuangbo@ n jnu. edu. cn
更新日期/Last Update: 2013-05-05