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arXiv · 1810.01358

Emergent Quantum Dynamics of Vortex Line under Linear Local Induction Approximation

Guihao Jia·Yu Xu·Xiao Kong·Cuixian Guo·Silei Liu·Su-Peng Kou
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Abstract

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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Guihao Jia, Yu Xu, Xiao Kong, Cuixian Guo, Silei Liu, Su-Peng Kou. 2018-09-29. Emergent Quantum Dynamics of Vortex Line under Linear Local Induction Approximation. https://doi.org/10.1088/0256-307x%2F36%2F12%2F124701

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