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PreprintCC BY 4.0arXiv

Quantum Vortices in a Boundary Layer: New Results and Perspectives

  • Sergei V. Talalov
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Abstract

Here, we investigate the motion of a thin circular quantum vortex filament near the infinite planar surface. The fluid surrounding this surface moves with a non-zero velocity bfv, which is parallel to the surface. We study the specific features of this quantum system and show that they are quite suitable for the boundary layer theory. The developed model allows us to calculate the vortex energy spectrum, E = E(bf p), where bf p is the total momentum of a vortex ring. We have demonstrated that this function has complex non-trivial dependence on the velocity bfv. It is stated that the inverse effective mass of a vortex under consideration is of a tensorial nature. In certain quantum states, the system shows the possibility of both negative and positive effective mass existing. This study employs a novel quantization method for classical closed vortex filaments, developed by the author earlier.

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Cite

BibTeXRIS
BibTeX
@misc{talalov2026quantum,
  title = {{Quantum Vortices in a Boundary Layer: New Results and Perspectives}},
  author = {Sergei V. Talalov},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.02057},
  eprint = {2608.02057},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.02057},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Quantum Vortices in a Boundary Layer: New Results and Perspectives
AU  - Sergei V. Talalov
PY  - 2026
DA  - 2026/08/03
PB  - arXiv
DO  - 10.48550/arxiv.2608.02057
UR  - https://arxiv.org/abs/2608.02057
AB  - Here, we investigate the motion of a thin circular quantum vortex filament near the infinite planar surface. The fluid surrounding this surface moves with a non-zero velocity bfv, which is parallel to the surface. We study the specific features of this quantum system and show that they are quite suitable for the boundary layer theory. The developed model allows us to calculate the vortex energy spectrum, E = E(bf p), where bf p is the total momentum of a vortex ring. We have demonstrated that this function has complex non-trivial dependence on the velocity bfv. It is stated that the inverse effective mass of a vortex under consideration is of a tensorial nature. In certain quantum states, the system shows the possibility of both negative and positive effective mass existing. This study employs a novel quantization method for classical closed vortex filaments, developed by the author earlier.
ER  -