Emergent Quantum Dynamics of Vortex-Line under Linear Local Induction Approximation  

作　　者：Gui-Hao Jia Yu Xu Xiao Kong Cui-Xian Guo Si-Lei Liu Su-Peng Kou 贾桂昊;许玉;孔潇;郭翠仙;刘思蕾;寇谡鹏(Center for Advanced Quantum Studies, Department of Physics, Beijing Normal University)

机构地区：[1]Center for Advanced Quantum Studies,Department of Physics,Beiing Normal University,Beijing 100875

出　　处：《Chinese Physics Letters》2019年第12期52-56,共5页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No 1167402

摘　　要：Using the linear local induction approximation, we investigate the self-induced motion of a vortex-line that corresponds to the motion of a particle in quantum mechanics. Provided Kelvin waves, the effective Schr?dinger equation, physical quantity operators, and the corresponding path-integral formula can be obtained. In particular,the effective Planck constant defined by parameters of vortex-line motion shows the mathematical relation between the two fields. The vortexline–particle mapping may help in understanding particle motion in quantum mechanics.Using the linear local induction approximation,we investigate the self-induced motion of a vortex-line that corresponds to the motion of a particle in quantum mechanics.Provided Kelvin waves,the effective Schrodinger equation,physical quantity operators,and the corresponding path-integral formula can be obtained.In particular,the effective Planck constant defined by parameters of vortex-line motion shows the mathematical relation between the two fields.The vortexline-particle mapping may help in understanding particle motion in quantum mechanics.

关 键 词：VORTEX QUANTUM APPROXIMATION 

分 类 号：O17[理学—数学]