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Spectra analysis of the two-dimensional elliptic billiards
Xu, XY; Zhang, YH; Huang, FZ; Lin, SL; Du, ML; Lin, SL , Shandong Normal Univ, Coll Phys & Elect, Jinan 250014, Peoples R China.
2005
发表期刊ACTA PHYSICA SINICA
ISSN1000-3290
卷号54期号:10页码:4538-4542
摘要The correspondence between the quantum spectra and the classical orbits of the two-dimensional elliptic billiards is investigated. In order to study systems without analytic solutions in the future, an expansion method for stationary states (EMSS) to get highly accurate numerical solutions is applied and tested. The closed-orbit theory was extended to the open orbit case. By comparing the Fourier-transformed spectra with the classical orbits, we find that the peak positions in the quantum spectra match with the lengths of the classical orbits with small numerical differences. This is another example showing that semiclassical 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Equilateral Triangular Billiards Classical Orbits Quantum Spectra Atoms
学科领域Physics
收录类别SCI
WOS记录号WOS:000232443100014
引用统计
被引频次:10[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/311006/13738
专题理论物理所1978-2010年知识产出
通讯作者Lin, SL , Shandong Normal Univ, Coll Phys & Elect, Jinan 250014, Peoples R China.
推荐引用方式
GB/T 7714
Xu, XY,Zhang, YH,Huang, FZ,et al. Spectra analysis of the two-dimensional elliptic billiards[J]. ACTA PHYSICA SINICA,2005,54(10):4538-4542.
APA Xu, XY,Zhang, YH,Huang, FZ,Lin, SL,Du, ML,&Lin, SL , Shandong Normal Univ, Coll Phys & Elect, Jinan 250014, Peoples R China..(2005).Spectra analysis of the two-dimensional elliptic billiards.ACTA PHYSICA SINICA,54(10),4538-4542.
MLA Xu, XY,et al."Spectra analysis of the two-dimensional elliptic billiards".ACTA PHYSICA SINICA 54.10(2005):4538-4542.
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