(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I need to find the bloch vector for the density matrix [itex]\frac{1}{N}\exp{-\frac{H}{-k_bT}}[/itex] where the Hamiltonian is given by [itex]H=\hbar\omega\sigma_z[/itex].

3. The attempt at a solution

I can break the Taylor series of exp into odd and even terms because sigma z squared is the identity. I get something that looks like sine and cosine but I'm missing i for Euler's equation. How else can I group the terms?

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# Homework Help: Bloch vector from taylor expansion

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