- 99-295 F. G\"ohmann, V.E. Korepin
- The Hubbard chain: Lieb-Wu equations and norm of the eigenfunctions
(25K, Latex)
Aug 7, 99
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Abstract. We argue that the square of the norm of the Hubbard wave function is
proportional to the determinant of a matrix, which is obtained by
linearization of the Lieb-Wu equations around a solution. This means
that in the vicinity of a solution the Lieb-Wu equations are
non-degenerate, if the corresponding wave function is non-zero. We
further derive an action that generates the Lieb-Wu equations and
express our determinant formula for the square of the norm in terms of
the Hessian determinant of this action.
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