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What is the limit of exp(-kM/T)?

  1. Jul 12, 2005 #1

    CarlB

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    What is the limit of exp(-kM/T)???

    Let M be a matrix:

    [tex]\left(\begin{array}{cc}a & b \\c & d\end{array}\right)[/tex]

    where a,b,c and d are complex constants. Let k and T be positive real numbers. Is there a closed formula for this limit?

    [tex]\begin{array}{c}\lim \\ T->0^{+}\end{array} \;\;\;
    e^{-kM/T}[/tex]

    Of course the answer will not depend on k, or T.

    Carl

    [edit]Hint:
    http://mathworld.wolfram.com/JordanMatrixDecomposition.html
     
    Last edited: Jul 12, 2005
  2. jcsd
  3. Jul 12, 2005 #2
    Is this what you meant?

    [tex]\lim\limit_{T\to 0^+}e^{-kM/T}[/tex]
     
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