Eigenvalues and Eigenfunctions of a Stadium-Shaped Quantum Dot Subjected to a Perpendicular Magnetic Field  

作　　者：LIU Bo ZHANG Guang-cai DAI Jian-hua ZHANG Hong-jun 刘波;张广才;戴建华;张洪钧(Laboratory of the Optical Physics,Institute of Physics&Center for Condensed Matter Physics,Chinese Academy of Sciences,Beijing 100080)

机构地区：[1]Laboratory of the Optical Physics,Institute of Physics&Center for Condensed Matter Physics,Chinese Academy of Sciences,Beijing 100080

出　　处：《Chinese Physics Letters》1998年第9期628-630,共3页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No.69778013;the Nonlinear Science Project of China.

摘　　要：The eigenvalues and eigenfunctions of the stadium-shaped quantum dot subjected to a constant magnetic field in the perpendicular direction are computed by a simple and efficient method.With the magnetic field increasing,the nearest-neighour-energy-level-spacing distribution of the stadium-shaped quantum dot is found to transform gradually from the Wigner distribution to the Poisson distribution.The transition of the nearest-neighour-energy-level-spacing distribution indicates that system changes from quantum chaotic to regular.The variation of the spatial charge distribution indicates that the system varies from bulk Landau state to the edge state that mainly affects the transport properties of the stadium-shaped quantum dot.The change of the two dimensional charge distribution near the anticrossing point is also discussed.

关 键 词：method. quantum SHAPED 

分 类 号：O41[理学—理论物理]