Transfer operator approach on three-dimensional quantum billiards with SO(2) symmetry

Cheng-Hung Chang*

*此作品的通信作者

研究成果: Article同行評審

5 引文 斯高帕斯(Scopus)

摘要

This work demonstrates the application of Bogomolny’s transfer operator method on three-dimensional dynamics. Motivated by experimental observations of lenslike metal clusters, the quantum billiards bounded by a flat bottom and an upper surface with [Formula presented] symmetry are studied. A precise determination of the energies with error less than [Formula presented] and exact predicted degeneracies in the special case of the half-sphere billiard confirm the efficiency of this method. Furthermore, the spectra and degeneracies of lens billiards with varying heights are explicitly determined.

原文English
文章編號046201
頁(從 - 到)1-7
頁數7
期刊Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
67
發行號4
DOIs
出版狀態Published - 1 四月 2003

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