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Torus Quantization in Local Mode Region for Two Kinetically Coupled Morse Oscillators(PDF)

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

Issue:
2007年01期
Page:
33-38
Research Field:
物理学
Publishing date:

Info

Title:
Torus Quantization in Local Mode Region for Two Kinetically Coupled Morse Oscillators
Author(s):
Yang Shuangbo
School of Physical Science and Technology,Nanjing Normal University,Nanjing 210097,China
Keywords:
EBK quant ization cond ition;  quant iz ing torus;  localmode
PACS:
O413.1
DOI:
-
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.

References:

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[ 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.

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Last Update: 2013-05-05