instanton quantum tunneling Jacobi elliptic functions Lamé functions  

作　　者：刘式适 付遵涛 刘式达 赵强 

机构地区：Lab for Climate and Ocean-Atmosphere Studies, Departement of Atmospheric and Oceanic Sciences, School of Physics,Peking University, Beijing 100871, China

出　　处：《Communications in Theoretical Physics》2016年第2期145-153,共9页理论物理通讯（英文版）

基　　金：Supportted by the National Natural Science Foundation of China under Grant No.40975027

摘　　要：Under condition of four potential fields, equations of motion and fluctuations in imaginary time are utilized to analytically derive the basic and fluctuating periodic instantons. It is shown that the basic instantons satisfy the elliptic or simple pendulum equations and their solutions are Jacobi elliptic functions, and fluctuating periodic instantons satisfy the Lam′e equation and their solutions are Lame functions. These results indicate that there exists the common solution family for different potential fields which are called the super-symmetry family.

关 键 词：Basic and Fluctuating Periodic Instantons in Quantum Tunneling 

分 类 号：O411.1[理学—理论物理] O413[理学—物理]