- 87 名前：１３２人目の素数さん mailto:sage [2015/11/20(金) 18:46:42.15 ID:iwwtB9CQ.net]
- これで、如何でしょうか？
Print["(*４元ベクトル*)"];
g4 = {{1, 0, 0, 0}, {0, -1, 0, 0}, {0, 0, -1, 0}, {0, 0, 0, -1}};
ep = (1/Sqrt[2])*{0, 1, 1, 0};
epdash = (1/Sqrt[2])*{0, Cos[theta], 1, Sin[theta]};
Simplify[ep.g4.ep]
Simplify[epdash.g4.epdash]
Print["(*３次元空間ベクトル分解*)"];
g3 = {{1, 0, 0}, {0, 1, 0}, {0, 0, 1}};
ep1 = {1, 0, 0};
ep2 = {0, 1, 0};
epdash1 = {Cos[theta], 0, Sin[theta]};
epdash2 = {0, 1, 0};
Simplify[(ep1.g3.epdash1)^2 + (ep2.g3.epdash2)^2 + (ep1.g3.epdash2)^2 \
+ (ep2.g3.epdash1)^2]
Simplify[ep1.g3.ep1]
Simplify[ep2.g3.ep2]
Simplify[ep1.g3.epdash1]
Simplify[ep2.g3.epdash2]
Simplify[ep1.g3.epdash2]
Simplify[epdash2.g3.ep1]
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