Question

Consider a one-dimensional tight binding model of electrons hopping between atoms. Let the distance between atoms be called a, and here let us label the atomic orbital on atom n as In) for n-1,..N (you may assume orthonormality of orbitals, i.e, (n|m) -8nm) Suppose there is an on-site energy є and a hopping matrix element-t. In other words, suppose 〈nlH1m)=ε for n-mand (IH1m)=-t for n-m±1. (b) How many different eigenstates are there in this system?

Answer 1

ASs buting in etteve schrödinger equati on herH Using ria functiom IN equahn Both Sides ti Ka + e Ko f to tminima could be at Ko to hom t could bc ot Zome BoundorS

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