Exact diagonalisation of 1-d interacting spinless Fermions

Details Exact diagonalisation of 1-d interacting spinless Fermions Exact diagonalisation of 1-d interacting spinless Fermions

2007-12-30

arxiv.org/abs/0801.0132v2

Physics

Mathematical Physics

33 pages

Scientific paper

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.

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