The Husimi Distribution of Circular Billiard with?an?Applied?Uniform Magnetic Field

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• 作者：Xueyou Xu ; Hongyun Li ; Yanhui Zhang ; Song Gao and Shenglu Lin
• 关键词：Husimi distribution ; Circular billiard ; Classical trajectory ; Effect of external magnetic field
• 刊名：International Journal of Theoretical Physics
• 出版年：2009
• 出版时间：July, 2009
• 年：2009
• 卷：48
• 期：7
• 页码：2139-2146
• 全文大小：1.1 MB

文摘

We present a theoretical computation of the Husimi distribution function in phase-space for studying the semiclassical dynamics of the circular electron billiard subjected to a constant magnetic field in the perpendicular direction. The results reveal that with the increase of the applied magnetic field the peaks of Husimi function tend to the billiard boundaries, along with the movements a periodic splitting-recombining (alternative single-double) peak structure is arisen. This fact implies the localization of the eigenstates and coincides to the classical trajectory distribution what we obtained by use of representation on the billiard boundary. It becomes possible to compare the local properties of the quantum and classical distributions. Our analysis provides a new perspective to understand the quantum-classical correspondence.