Exact diagonalisation of 1-d interacting spinless Fermions
Mathematical Physics
2015-05-13 v2 Strongly Correlated Electrons
math.MP
Abstract
We acquire a method of constructing an infinite set of exact eigenfunctions of 1--d interacting spinless Fermionic systems. Creation and annihilation operators for the interacting system are found and thereby the many--body Hamiltonian is diagonalised. The formalism is applied to several examples. One example is the theory of Jack polynomials. For the Calogero-Moser-Sutherland Hamiltonian a direct proof is given that the asymptotic Bethe Ansatz is correct.
Cite
@article{arxiv.0801.0132,
title = {Exact diagonalisation of 1-d interacting spinless Fermions},
author = {Heiner Kohler},
journal= {arXiv preprint arXiv:0801.0132},
year = {2015}
}
Comments
33 pages