Representations of SU(2) describe non-relativistic spin, due to being a double covering of the rotation group of Euclidean 3-space. Relativistic spin is described by the representation theory …

The SU(n) groups find wide application in the Standard Model of particle physics, especially SU(2) in the electroweak interaction and SU(3) in quantum chromodynamics. [1] The simplest case, …

2020年12月25日 · su(2)群是所有行列式为1的二阶幺正矩阵构成的群，s表示行列式为1，u表示幺正，2表示二阶。 任意二阶幺正矩阵可以表示为 \left[ \begin{array}{c c} a&b\\ -b^* &a^* …

The groupSU(2) is the group of unitary 22 complex matrices with determinant 1. Every such matrix can be uniquely written as U(z;w) = z w w z! for(z;w) 2C2, with the condition thatjzj2 …

• SU(2) describes spin angular momentum. • SU(2) is isomorphic to the description of angular momentum – SO(3). • SU(2) also describes isospin – for nucleons, light quarks and the weak …

2020年11月22日 · The special unitary group SU(n) is a real matrix Lie group of dimension n 2 − 1. Topologically, it is compact and simply connected. Algebraically, it is a simple Lie group …

2016年8月5日 · The group $SO(2)$ is defined to be the group of $2 \times 2$ real orthogonal matrices (the vector space being $\mathbb{R}^2$ over $\mathbb{R}$). The group $SU(2)$ is …

2016年7月22日 · The $SU(2)$ triplet results from the Adjoint Representation $\mathrm{Ad}: SU(2)\to SO(3)$ of $SU(2)$, whereby $SU(2)$ acts on its own Lie algebra. As a $2\times2$ …

2019年6月28日 · The SU (2) Lie algebra su (2) forms a 3-dimensional real vector space and is therefore an Abelian group under addition. Like any group ( su ( 2 ), +) satisfies the following …

In particle physics, SU(1), SU(2), and SU(3) are special unitary groups that play a fundamental role in describing the symmetries of elementary particles and their interactions. These groups …