Grassmann数 Jul 22, 2024; draft Grassmann 数 普通の数 [x1,x2]≡x1x2−x1x2=0⇔x1x2=x2x1[x_1,x_2] ≡ x_1x_2 - x_1x_2 = 0 \quad \Leftrightarrow \quad x_1x_2 = x_2x_1[x1,x2]≡x1x2−x1x2=0⇔x1x2=x2x1 Grassmann 数 {ξ1,ξ2}≡ξ1ξ2+ξ2ξ1=0⇔ξ1ξ2=−ξ2ξ1\{ξ_1,ξ_2\} ≡ ξ_1ξ_2 + ξ_2ξ_1 = 0 \quad \Leftrightarrow \quad ξ_1ξ_2 = -ξ_2ξ_1{ξ1,ξ2}≡ξ1ξ2+ξ2ξ1=0⇔ξ1ξ2=−ξ2ξ1