Bethe’s Wave-Function Revisited

Jacob Szeftel; Jean-Claude Lévy

doi:10.20944/preprints202404.0124.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 31 March 2024 / Approved: 1 April 2024 / Online: 2 April 2024 (03:08:00 CEST)

The scattering eigenstates of any Hamiltonian of electrons, coupled through a two-body force and moving on a one-dimensional lattice, are shown to be Bethe's wave-functions. The energy of the groundstate is compared with values, obtained previously for the Hubbard Hamiltonian by means of Bethe's wave-function and within the framework of the correlated Fermi gas. The same analysis is applied to electrons, interacting on neighbouring sites. The significance of those various groundstates is assessed with help of thermodynamics.

Lattice fermion models; Fermions in reduced dimensions

Physical Sciences, Condensed Matter Physics

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Bethe’s Wave-Function Revisited

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