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The quantum spectra analysis of the circular billiards in wells
Zhang, YH; Zhang, LQ; Xu, XY; Ge, MH; Lin, SL; Du, ML; Zhang, YH , Shandong Normal Univ, Coll Phys & Elect, Jinan 250014, Peoples R China
2006
发表期刊CHINESE PHYSICS
ISSN1009-1963
卷号15期号:3页码:502-506
摘要We use a recently defined quantum spectral function and apply the method of closed-orbit theory to the 2D circular billiard system. The quantum spectra contain rich information of all classical orbits connecting two arbitrary points in the well. We study the correspondence between quantum spectra and classical orbits in the circular, 1/2 circular and 1/4 circular wells using the analytic and numerical methods. We find that the peak positions in the Fourier-transformed quantum spectra match accurately with the lengths of the classical orbits. These examples show evidently that semi-classical method provides a bridge between quantum and classical mechanics.
部门归属Shandong Normal Univ, Coll Phys & Elect, Jinan 250014, Peoples R China; Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
关键词Classical Orbits Infinite Well
学科领域Physics
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收录类别SCI
WOS记录号WOS:000235875800009
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被引频次:8[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/6033
专题理论物理所SCI论文
通讯作者Zhang, YH , Shandong Normal Univ, Coll Phys & Elect, Jinan 250014, Peoples R China
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GB/T 7714
Zhang, YH,Zhang, LQ,Xu, XY,et al. The quantum spectra analysis of the circular billiards in wells[J]. CHINESE PHYSICS,2006,15(3):502-506.
APA Zhang, YH.,Zhang, LQ.,Xu, XY.,Ge, MH.,Lin, SL.,...&Zhang, YH , Shandong Normal Univ, Coll Phys & Elect, Jinan 250014, Peoples R China.(2006).The quantum spectra analysis of the circular billiards in wells.CHINESE PHYSICS,15(3),502-506.
MLA Zhang, YH,et al."The quantum spectra analysis of the circular billiards in wells".CHINESE PHYSICS 15.3(2006):502-506.
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