环形量子气体中点涡的动力学
On the dynamics of point vortices in a quantum gas confined in an annular region
摘要：
研究了自旋为0的粒子在环形区域内的平面量子气体中的一个和两个点状涡旋的动力学。新的解析解和数值解的发现。平稳半径的概念，有关的双重连接性质的环，被定义。可以看出，这些半径的存在有很大的影响的旋涡的行为。结果表明，由于稳定半径的存在，涡表现出类似的行为，无论其缠绕数的符号。定性地研究了能量稳定的涡旋解。
英文摘要：
The dynamics of one and two pointlike vortices in a planar quantum gas of spin-0 particles confined in an annular region is considered. New analytical and numerical solutions are found. The concept of stationarity radius, related to the doubly connected nature of the annulus, is defined. It is seen that the existence of these radii has great impact on the behaviour of the vortices. It is shown that, because of the existence of the stationarity radii, vortices exhibit similar behaviour regardless of the sign of their winding number. The energetically stable vortex solutions are studied qualitatively.
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