Emergent Quantum Dynamics of Vortex-Line under Linear Local Induction Approximation
Gui-Hao Jia** , Yu Xu, Xiao Kong, Cui-Xian Guo, Si-Lei Liu, Su-Peng Kou
Center for Advanced Quantum Studies, Department of Physics, Beijing Normal University, Beijing 100875
Abstract ：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 Schrödinger 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.
收稿日期: 2019-07-09
出版日期: 2019-11-25
:
47.32.-y
(Vortex dynamics; rotating fluids)
03.75.Kk
(Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)
03.65.-w
(Quantum mechanics)
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2019, Vol. 36 
