Lie groups | Tensors

Spin tensor

In mathematics, mathematical physics, and theoretical physics, the spin tensor is a quantity used to describe the rotational motion of particles in spacetime. The tensor has application in general relativity and special relativity, as well as quantum mechanics, relativistic quantum mechanics, and quantum field theory. The special Euclidean group SE(d) of direct isometries is generated by translations and rotations. Its Lie algebra is written . This article uses Cartesian coordinates and tensor index notation. (Wikipedia).

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Related pages

Belinfante–Rosenfeld stress–energy tensor | Poincaré group | Covariant derivative | Tensor product | Pauli–Lubanski pseudovector | Origin (mathematics) | Lorentz group | Spin representation | Partial derivative | Spin (physics) | Continuity equation | Relativistic angular momentum | Four-gradient | Rotation | Center of mass (relativistic) | Mathematics | Lie algebra | Four-momentum | Euclidean group | Torque | Symmetric tensor | Stress–energy tensor