From quantum spectra to classical orbits: Varying rectangular billiards  

From quantum spectra to classical orbits: Varying rectangular billiards

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作  者:Jun Lu 

机构地区:[1]Department of Foundational Science, Beijing Union University, Beijing 100101, ChinaInstitute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080, China

出  处:《Progress in Natural Science:Materials International》2008年第8期927-930,共4页自然科学进展·国际材料(英文版)

基  金:the National Natural Science Foundation of China (Grant No. 90403028);Excellent Talent Foundation of Beijing (Grant No.20051D0502209).

摘  要:The quantum-spectrum function is introduced by means of the eigenvalues and the eigenfunctions in the system of varying rectangular billiards. It is found that the Fourier transform of the quantum-spectrum function corresponds with the classical orbits in the system. These results give new evidence about the classical-quantum correspondence.The quantum-spectrum function is introduced by means of the eigenvalues and the eigenfunctions in the system of varying rectangular billiards. It is found that the Fourier transform of the quantum-spectrum function corresponds with the classical orbits in the system. These results give new evidence about the classical-quantum correspondence.

关 键 词:Quantum spectrum Classical-quantum correspondence Semiclassical physics 

分 类 号:O413[理学—理论物理]

 

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