Recent content by wilco

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    Finding the matrix A such that, exp(sA) is in SU(2)

    Got it! Brilliant ... thanks again for your time.
  2. W

    Finding the matrix A such that, exp(sA) is in SU(2)

    Actually, I've just done the expansions of S^(-1)=exp(-sA) and S^+=exp(sA^+), and comparing these brings me to exactly that conclusion, that A^(+)=(-A), ie. A must be antihermitian. Adding the requirement, det(exp(sA))=1, would leave me concluding that A must be any traceless, antihermitian...
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    Finding the matrix A such that, exp(sA) is in SU(2)

    Thanks, Dick - much appreciated. I got went down the track of using the approach with B as it was used on another example that I had available to me. Your approach seems like common sense ... now. Am I right that det(exp(sA))=exp(trace(A)) so the s does not figure in that calc? Therefore...
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    Finding the matrix A such that, exp(sA) is in SU(2)

    Homework Statement Finding the matrix A such that, exp(sA) is in SU(2) Homework Equations My attempt is in trying to solve \left(e^{sA}\right)^{t} B \left(e^{sA}\right) = B for A, where A is some 2x2 (complex?) matrix. and B is the matrix representing the group of SU(2) matrices. Trouble...