Single-particle eigensolutions of a periodic polymer chain

SINGLE-PARTICLE EIGENSOLUTIONS OF A PERIODIC POLYMER CHAIN 

In this appendix we derive the eigenfunctions and eigenvalues of a noninteracting periodic polymer chain. We use a straightforward generalization of the method employed in Section 3.3.1 for the uniform cyclic chain. 

We write the Hiickel Hamiltonian for a polymer composed of a periodic sequence of monomers as, 

Exploiting the translational invariance of the polymer we introduce the Bloch transforms, 

Substituting the Bloch tranforms into eqn (C.2) and eqn (C.3), and following the same procedure as in Section 3.3.1, we obtain the momentum space representation, 

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