| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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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
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| Cite this article: |
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Gui-Hao Jia, Yu Xu, Xiao Kong et al 2019 Chin. Phys. Lett. 36 124701 |
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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.
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Received: 09 July 2019
Published: 25 November 2019
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| PACS: |
47.32.-y
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(Vortex dynamics; rotating fluids)
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03.75.Kk
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(Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)
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03.65.-w
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(Quantum mechanics)
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| Fund: Supported by the National Natural Science Foundation of China under Grant No 1167402. |
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