The Toeplitz matrix $e^{-\kappa |i-j|}$ and its application to a layered electron gas

Onuttom Narayan, B Sriram Shastry

We present an explicit solution of the eigen-spectrum Toeplitz matrix $C_{ij}=e^{-\kappa |i-j|}$ with $0\le i,j\le N$ and apply it to find analytically the plasma modes of a layered…