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 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.
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.
作者
贾桂昊
许玉
孔潇
郭翠仙
刘思蕾
寇谡鹏
Gui-Hao Jia;Yu Xu;Xiao Kong;Cui-Xian Guo;Si-Lei Liu;Su-Peng Kou(Center for Advanced Quantum Studies,Department of Physics,Beiing Normal University,Beijing 100875)
基金
Supported by the National Natural Science Foundation of China under Grant No 1167402