 Spin tensor

The spin tensor is the antisymmetric part of the velocity gradient, $\mathbf{\Omega }=(\nabla \mathbf{u}-(\nabla \mathbf{u}{)}^T)/2$. It describes local rigid-body rotation.

In physics, particularly in the context of quantum mechanics and general relativity, the concept of "spin" refers to an intrinsic form of angular momentum carried by elementary particles, composite particles (like atomic nuclei), and even molecules. The spin tensor is a mathematical representation that captures the properties of spin in various physical theories. ### Spin Tensor in Quantum Mechanics 1.