The energy spectrum of a quantum vortex loop moving in a long pipe

• URL: http://arxiv.org/abs/2403.06441v2
• Date: Sun, 12 May 2024 10:18:22 GMT
• Title: The energy spectrum of a quantum vortex loop moving in a long pipe
• Authors: S. V. Talalov,
• Abstract summary: We present the problem of the energy spectrum of a quantum vortex loop moving in a thin long pipe. The vortex quantization problem is considered outside of two-trivial hydrodynamics.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this study, the problem of the energy spectrum of a quantum vortex loop moving in a thin long pipe is solved for the first time. The vortex filament is described in the Local Induction Approximation. We quantize this dynamic system using a new method, which leads to non-trivial results for circulation $\Gamma$ and energy values $E$. In the final form, we present the spectrum of the vortex loop in the form of a ''Regge trajectory'' $E = E(\Gamma)$. The vortex quantization problem is considered outside of two-fluid hydrodynamics and other conventional approaches.

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