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arXiv · 0801.0132

Exact diagonalisation of 1-d interacting spinless Fermions

Heiner Kohler
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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.

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Heiner Kohler. 2010-11-14. Exact diagonalisation of 1-d interacting spinless Fermions. https://doi.org/10.1063/1.3563580

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