量子环波函数(英文)  

Quantum Torus Wave Function

作　　者：杨双波[1] 

机构地区：[1]南京师范大学物理科学与技术学院,江苏南京210046

出　　处：《南京师大学报（自然科学版）》2010年第3期32-39,共8页Journal of Nanjing Normal University(Natural Science Edition)

基　　金：Supported by National Natural Science Foundation of China(10674073)

摘　　要：对两个动能耦合的全同Morse振子系统引入了量子环波函数的概念.量子环波函数来源于一个系统量子态的分解,反映量子波函数的对称性.物理上对应于相空间中的一个量子化环或量子化康托环(如存在的话).等高线图中沿x轴和y轴的节点数目,与EBK量子化条件中量子数相同,是给定能级的自然命名.当量子化环或量子化康托环被相空间中弱谐振带破坏时,用量子环波函数命名能级更容易,也是合理的.这篇文章也显示了量子环波函数在研究动力学遂穿的潜在应用.For two kinetically coupled identical Morse oscillator system,this paper introduced the concept of quantum torus wave function.Quantum torus wave function comes from the decomposition of a quantum wave function of the system.It reflects the symmetry of the quantum wave function.Physically,it corresponds to a quantizing torus or a quantizing cantorus（when it exists） in phase space.The number of nodes in x and y coordinates in the contour plot,being the same as the quantum number in the Einstein-Brillouin-Keller（EBK） quantization conditions,is the natural assignment of the given energy level.When quantizing torus or cantorus is destroyed by weak resonances in phase space,using quantum torus wave function to assign energy level is easier and reasonable.This paper also shows the application of quantum torus wave function in the study of dynamical tunneling.

关 键 词：环 康托环 命名 动力学遂穿 

分 类 号：O413.1[理学—理论物理]