When an element of SU(2) is written as a complex 2 × 2 matrix, it is simply a multiplication of column 2-vectors. It is known in physics as the spin-1/2 and, historically, as the multiplication …

In mathematics, the special unitary group of degree n, denoted SU (n), is the Lie group of n × n unitary matrices with determinant 1. The matrices of the more general unitary group may have …

The Sukhoi Su-2 (Russian: Сухой Су-2) is a Soviet reconnaissance and light bomber aircraft used in the early stages of World War II. It was the first airplane designed by Pavel Sukhoi. …

In standard Physics notation, the irreps of su2 (and hence SU(2)) are specified by the representation of the three spin matrices. It turns out that, up to unitary equivalence, there is …

2025年3月5日 · The special unitary group SU_n(q) is the set of n×n unitary matrices with determinant +1 (having n^2-1 independent parameters). SU(2) is homeomorphic with the …

2017年4月25日 · For SU(2), no rotations about any other axis commute with L3, so the Cartan subalgebra is one dimensional. 67 We want to look for finite dimensional irreducible …

2.3 Left- and right- group translations on SU(2): Isometries of S3 We have shown that the group manifold for SU(2) is S3. In this section, we demonstrate that continuously generated …

2020年11月22日 · In mathematics, the special unitary group of degree n, denoted SU (n), is the group of n × n unitary matrices with determinant 1. The group operation is that of matrix …

SU(2). These Lie groups are not homeomorphic, as their fundamental groups are distinct. Also, by inspecting the adjoint action of a maximal torus, SU(2) has center f 1gof order 2 whereas …

The space Ri+Rj+Rk mapped onto SU(2) by the exponential function is the tangent space at 1 of SU(2), just as the line Ri is the tangent line at 1 of the circle SO(2). The three-dimensional …