mechanics, spin is an intrinsic property of all elementary particles. All known fermions, the particles that constitute ordinary matter, have a spin of 1/2. The...

follows Fermi–Dirac statistics. Fermions have a half-odd-integer spin (spin 1/2, spin 3/2, etc.) and obey the Pauli exclusion principle. These particles...

spin matrices and eigenvalues in the z-basis: For spin 1 they are S x = ℏ 2 ( 0 1 0 1 0 1 0 1 0 ) , | 1 , + 1 ⟩ x = 1 2 ( 1 2 1 ) , | 1 , 0 ⟩ x = 1 2...

Top Spin 2 is a 2006 tennis video game developed by Indie Built, MENT, and Aspyr and originally published by 2K and Superscape. It is the sequel to Top...

triplet state occurs in cases where the spins of two unpaired electrons, each having spin s = 1/2, align to give S = 1, in contrast to the more common case...

_{2}\}(-\sigma _{2}\sigma _{1})=-a_{1}\sigma _{1}-a_{2}\sigma _{2}} but a spinor rotation of only 90°: ( − σ 1 σ 2 ) { a 1 + a 2 σ 1 σ 2 } = a 2 − a 1 σ 1 σ 2 {\displaystyle...

can be either ++1/2 or −+1/2 . The phrase spin quantum number refers to quantized spin angular momentum. The symbol s is used for the spin quantum number...

'spin up' and 'spin down') to a variable taking values in a vector space (typically the spin-1/2 or two-dimensional representation of s u ( 2 ) {\displaystyle...

n ≠ 2) 1 → Z 2 → Spin ⁡ ( n ) → SO ⁡ ( n ) → 1. {\displaystyle 1\to \mathbb {Z} _{2}\to \operatorname {Spin} (n)\to \operatorname {SO} (n)\to 1.} The...

representing the general spin state of a particle. Strictly speaking, they are not vectors at all, but in fact spinors. For a single spin 1/2 particle, they can...