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Thread: Basis

  1. #1 Basis 
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    So i have a four dimensional complex vector space ( L+ix , L+iy, L+iz, L+ig) can i choose a standard basis for it for ex: imagine that this are columns not rows ->

    L+ix(1,0,0,0) + L+iy(0,1,0,0)+ L+iz(0,0,1,0)+ L+ig(0,0,0,1)=( L+ix , L+iy, L+iz, L+ig)


    or they has to be a certain one?
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  2. #2  
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    Quote Originally Posted by Sanev View Post

    L+ix(1,0,0,0) + L+iy(0,1,0,0)+ L+iz(0,0,1,0)+ L+ig(0,0,0,1)=( L+ix , L+iy, L+iz, L+ig)


    or they has to be a certain one?
    The RHS is a vector, not a vector basis. The LHS is not equal to the RHS, so your equality is all wrong. What you wrote above is utter nonsense.
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  3. #3  
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    Yes i'm sure it is. I'm trying to understand if i have four dimensional space how to proceed correctly. My cat vector has to be, far as a know a basis vector, and the complex coefficients witch are up front are complex vector or not?

    ex. L+ix |a> ?
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