Green's function of a finite chain and the discrete Fourier transform
Mathematical Physics
2015-05-13 v1 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.0704.2898,
title = {Green's function of a finite chain and the discrete Fourier transform},
author = {S. Cojocaru},
journal= {arXiv preprint arXiv:0704.2898},
year = {2015}
}
Comments
preprint of the paper published in Int. J. Modern Physics B Vol. 20, No. 5 (2006) 593-605