AI 中文总结
本文研究无限平面表面附近细圆形量子涡旋丝的运动，采用新型量子化方法建立适用于边界层理论的模型，计算涡旋能谱，发现其逆有效质量为张量且可同时存在正负值。
AI 中文摘要
本文研究无限平面表面附近的细圆形量子涡旋丝的运动，该表面周围的流体以平行于表面的非零速度v运动。我们研究该量子系统的特性，发现其非常适用于边界层理论。所建立的模型可计算涡旋环的总动量为p时的涡旋能谱E=E(p)，证明该函数对速度v具有复杂的非平凡依赖关系。研究表明，所考虑涡旋的逆有效质量具有张量性质，在某些量子态下，系统可同时存在正有效质量和负有效质量。本研究采用了作者此前开发的经典闭合涡旋丝的新型量子化方法。
英文摘要
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 $\bf{v}$, 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 $\bf{v}$. 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.
Comments23 pages, 4 figures
Journal refChaos, Solitons and Fractals 212 (2026) 118935
DOI：10.1016/j.chaos.2026.118935
