In this paper, we present a new geometric interpretation of the notion of the Heisenberg antiferromagnetic spin for quasi flows of normal magnetic particles with quasi frame in 3D space. Moreover, we investigate integrability conditions for quasi new frame fields. Therefore, we determine necessary and sufficient condition for given normal magnetic particles with flow in space. Additionally, we present some new constructions for evolution of particle by Heisenberg antiferromagnetic model and we give total magnetic phase for new quasi vector fields in 3D space.

中文翻译：

---

几何相位准正态磁流的新海森堡反铁磁自旋

在本文中，我们对海森堡反铁磁自旋的概念提出了一种新的几何解释，用于在 3D 空间中具有准框架的正常磁性粒子的准流动。此外，我们研究了准新框架场的可积性条件。因此，我们确定了给定空间中流动的正常磁性粒子的充要条件。此外，我们通过海森堡反铁磁模型提出了一些粒子演化的新结构，并给出了 3D 空间中新准矢量场的总磁相。