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Assume I have the Hamiltonian for a 1D topological insulators as: $H=sin(P_x) \sigma_x+i \Delta \sigma_{y}+(1-m-cos(P_x)) \sigma_z $ where $m$ is the mass term, $P_x$ is the momentum and $\Delta$ is an extra term to make the Hamiltonian non-Hermitian. If I choose the time reversal operator $T=i \sigma_y K$ and the parity operator $P=\sigma_{y}$, will the Hamiltonian be PT symmetric?

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Why don't you start by hacking out $[H,PT]$. Should be easy enough, but I'm tired. –  wsc May 31 '11 at 4:42
Sorry to reopen the debate, but what the hell is a non-Hermitian Hamiltonian? –  DaniH Mar 11 '12 at 12:35

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