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## Main Question or Discussion Point

Hi

I've been reading about the tight-binding model, and I have some questions. Lets say we have the Hamiltonian

where

I've been reading about the tight-binding model, and I have some questions. Lets say we have the Hamiltonian

**H**for our lattice, and it satisfies**H****ψ**= E**ψ**,where

**ψ**is a vector containing the wavefunction for each atom in the lattice. When I solve the above equation e.g. numerically, I get the eigenvectors**ψ**. In my case the**ψ**'s just contain numbers, but does this mean that the waverfuncion for each atom is constant?