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

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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:

Answers and Replies

  • #2
Jelfish
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Is this what you meant?

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

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