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Semiclassical Quantization of Chaotic States for a Coupled System(PDF)

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

Issue:
2009年04期
Page:
55-58
Research Field:
物理学
Publishing date:

Info

Title:
Semiclassical Quantization of Chaotic States for a Coupled System
Author(s):
Cheng RongguiYang Shuangbo
School of Physics and Technology,Nanjing Normal University,Nanjing 210097,China
Keywords:
coupled sy stem chaotic state sem iclass ica l quantization ad iaba tic approx im ation
PACS:
O413.1
DOI:
-
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.

References:

[ 1] E inste in A. Zum quantensatz von Somm er fe ld und Epste in [ J]. V erh Dtsch Phys Ges, 1917, 19: 82-92.
[ 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

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Last Update: 2013-04-23