restart: with(linalg); ##with(LinearAlgebra);

Warning, the protected names norm and trace have been redefined and unprotected

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A:=<<0|1/sqrt(2)|0>,<1/sqrt(2)|0|1/sqrt(2)>,<0|1/sqrt(2)|0>>; eigenvectors_A:=eigenvectors(A); EV1:=<<1/sqrt(2)>,<1>,<1/sqrt(2)>>; EV1_normiert:=EV1/norm(EV1); EV2:=<<1>,<-sqrt(2)>,<1>>; EV2_normiert:=EV2/norm(EV2); EV3:=<<-1>,<0>,<1>>; EV3_normiert:=EV3/norm(EV3); EW1:=1; EW2:=-1; normtest:=norm(EV1); A_spektr:=EW1*multiply(EV1_normiert,transpose(EV1_normiert))+EW2*multiply(EV2_normiert,transpose(EV2_normiert)); evalm(%);

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M:=<<1|0|0>,<0|0|0>,<0|0|-1>>;

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B:= -I*(multiply(M,A)-multiply(A,M)); evalm(%);

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C:=multiply(A,A)+multiply(B,B)+multiply(M,M); evalm(%);

NiM+SSJDRzYiLCgtSSdtYXRyaXhHNiRJKnByb3RlY3RlZEdGKkkoX3N5c2xpYkdGJTYjNyU3JSMiIiIiIiMiIiFGLzclRjJGMEYyRi5GMC1GKDYjNyU3JUYvRjIjISIiRjFGMzclRjhGMkYvRjAtRig2IzclNyVGMEYyRjI3JUYyRjJGMjclRjJGMkYwRjA=NiMtSSdtYXRyaXhHNiRJKnByb3RlY3RlZEdGJkkoX3N5c2xpYkc2IjYjNyU3JSIiIyIiIUYtNyVGLUYsRi03JUYtRi1GLA==

messbar:= -I*(multiply(M,C)-multiply(C,M)); evalm(%);

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Eigenvektoren:=Eigenvectors(A,output=['vectors', 'values']); Eigenwerte:=Eigenvalues(A);

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transpose(C);

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restart:

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