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Chaos in Potential Well and Classical-Quantum Correspondence(PDF)

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

Issue:
2009年03期
Page:
31-36
Research Field:
物理学
Publishing date:

Info

Title:
Chaos in Potential Well and Classical-Quantum Correspondence
Author(s):
Wang Zhao; Yang Shuangbo
School of Physical Science and Technology,Nanjing Normal University,Nanjing 210097,China
Keywords:
po ten tia lw e l; l chaos;  c lassic-quantum correspondence
PACS:
O413.1
DOI:
-
Abstract:
Th is paper num er ica lly studied the class ica l dynam ics fo r the coupled po tential we ll and theH arm on ic oscillator system. It is found that the low er the system energy, o r the w ider the w idth o f the potentia l we l,l or the larger the coup ling constant, the stronger the chaos. By compar ing w ith the nearest ne ighbo r spac ing d istribution o f energy levels, w e found that the quantum results agreew ith the c lassica l resu lts very w el.l For some low energy quantum scar ing states, w e found the corresponding c lassica l per iod ic orbits.

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Last Update: 2013-04-23