Unformatted text preview: ’ and ‘t’ ? What are the corresponding eigenvectors? Problem 3: In class we have seen that an infinitely long linear 1D lattice (lattice constant: a) with a Hamiltonian = has a dispersion relation E ( k ) = + 2 cos ka where − π < < + (1) Do the same problem using a unit cell of two atoms (instead of one) and show that ( ) = ± 2 cos where − /2 < < + /2 (2) Are (1) and (2) equivalent? Explain. < a >...
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 Spring '08
 S.Datta
 Linear Algebra, Matrices, Atom, Fundamental physics concepts, ib − ib −, a ib

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