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Emergent Quantum Dynamics of Vortex Line under Linear Local Induction Approximation

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arxiv 1810.01358 v1 pith:EKK3E4AW submitted 2018-09-29 quant-ph

Guihao Jia , Yu Xu , Xiao Kong , Cuixian Guo , Silei Liu , Su-Peng Kou This is my paper · ORCID
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keywords motionquantumvortexapproximationinductionlinelinearlocal
verification ladder T0 review T1 audit T2 compute T3 formal
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Using the linear local induction approximation, we investigated the self-induced motion of a vortex line that corresponds to the motion of a particle in quantum mechanics. Concerning Kelvin waves, the effective Schr\"odinger equation, physical quantities operators, and the corresponding path-integral formula are obtained. The vortex line-particle mapping may help in understanding particle motion in quantum mechanics.

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