Green's function of a finite chain and the discrete Fourier transform

Physics – Mathematical Physics

Scientific paper

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preprint of the paper published in Int. J. Modern Physics B Vol. 20, No. 5 (2006) 593-605

Scientific paper

A new expression for the Green's function of a finite one-dimensional lattice
with nearest neighbor interaction is derived via discrete Fourier transform.
Solution of the Heisenberg spin chain with periodic and open boundary
conditions is considered as an example. Comparison to Bethe ansatz clarifies
the relation between the two approaches.

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