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I have the Hamiltonian, which describes my lattice of NxN metal atoms, and their mutual coupling. What I need is the density of states of this lattice, and I am quite sure that there is a way to find it from my Hamiltonian; I just need to find out how.

What I thought was that I can of course find the eigenenergies and corresponding eigenvectors from my Hamiltonian. In order to find the DOS I assume I need to find an expression relating the eigenenergies and the number of possible states. Am I way off here?

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# Hamiltonian of a metal lattice

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