涡旋拓扑荷的变化
Changes of the topological charge of vortices
摘要：
我们考虑在量子力学中涡旋的拓扑荷的变化，通过研究涡旋的产生或湮灭发生的分析例子。在非粘性流体的经典流体动力学中，亥姆霍兹-开尔文定理确保了速度场循环守恒。我们讨论的适用性定理的流体力学制定的量子力学表明，该定理的假设可能会被打破的波函数的量子演化导致的拓扑电荷的变化。
英文摘要：
We consider changes of the topological charge of vortices in quantum mechanics by investigating analytical examples where the creation or annihilation of vortices occurs. In classical hydrodynamics of non-viscous fluids the Helmholtz-Kelvin theorem ensures that the velocity field circulation is conserved. We discuss applicability of the theorem in the hydrodynamical formulation of quantum mechanics showing that the assumptions of the theorem may be broken in quantum evolution of the wavefunction leading to a change of the topological charge.
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