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Torus Quantization in Normal 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:
2008年02期
Page:
45-48
Research Field:
物理学
Publishing date:

Info

Title:
Torus Quantization in Normal 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 quantization cond ition no rm al mode separab ility quantizing c ircu its
PACS:
O413.1
DOI:
-
Abstract:
The results of torus quantization in the norma lm ode reg ions for a system o f two k inetica lly coupledM orse osc illators w as reported. It is found tha t the result o f the quantization is nume rica lly strong ly dependent on the quantizing circu its. For the co rrect circu its w e chose, sem ic lassica l result agrees w e ll w ith quantum resu lt, it is believed that th is re lates to the separability o f the system.

References:

[ 1] Yang Shuangbo. B ifurcation phenom ena for tw o k inetically coupledMo rse oscillators[ J] . Journal ofN an jingNo rm alUn iversity: Na tura l Sc ience Ed ition, 2008, 31( 1) : 56-61.
[ 2] Jaff?Char les, Brum er Pau .l Lo ca l and norm a l modes: A class ica l pe rspective [ J] . J Chem Phy s, 1980, 73 ( 11) : 5 646-5 658.
[ 3] Sibert III E L, H ynes J T, ReinhardtW P. C lassica l dynam ics of energy transfer between bonds in ABA triatom ics[ J].J Chem Phys, 1982, 77( 7): 3 583-3 594.
[ 4] M atsushita T, Te rasakaT. M ass dependence of theKAM stab ility and low orde r resonances in the k inetically coupled tw o degrees o f freedom m o rse system [ J]. Chem ica l Physics Letters, 1983, 100( 1): 138-144.
[ 5] Y ang Shuangbo. Torus quantization in loca lmode reg ion fo r tw o kinetically coup ledM o rse o sc illators[ J] . Journa l o fN an jing No rm alUn iv ers ity: Natural Sc ience Edition, 2007, 30( 1): 33-38.
[ 6] DeLeon N, H e ller E J. Vec to r fie lds, line integra,l and H am ilton-Jacobi equa tion: sem ic lassica l quantization of bound state
[ J] . Phy s RevA, 1984, 30( 1): 5-18.
[ 7] PressW H, Teukolsky S A, VetterlingW T, e t a.l Num erica lRec ipes in Fortran77[M ]. Cam bridge: C ambr idgeUn iversity Press, 1999: 102-104.

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Last Update: 2013-05-05