Failure of Bethe-Ansatz solutions of generalisations of the Hubbard chain to arbitrary permutation symmetry

T. C. Choy; F. D.M. Haldane

doi:10.1016/0375-9601(82)90057-3

Failure of Bethe-Ansatz solutions of generalisations of the Hubbard chain to arbitrary permutation symmetry

T. C. Choy, F. D.M. Haldane

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Abstract

We find that our previously-reported solutions of extensions of the Lieb-Wu solutions of the Hubbard chain to other permutation symmetries are invalid because of failure of the Bethe Ansatz involving configurations with multiply-occupied (n > 3) sites. An at-first-sight surprising implication is that for the distinguishable-particle lattice gas model, the Bethe-Ansatz wavefunctions do not constitute a complete set.

Original language	English (US)
Pages (from-to)	83-84
Number of pages	2
Journal	Physics Letters A
Volume	90
Issue number	1-2
DOIs	https://doi.org/10.1016/0375-9601(82)90057-3
State	Published - Jun 21 1982
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1016/0375-9601(82)90057-3

Cite this

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title = "Failure of Bethe-Ansatz solutions of generalisations of the Hubbard chain to arbitrary permutation symmetry",

abstract = "We find that our previously-reported solutions of extensions of the Lieb-Wu solutions of the Hubbard chain to other permutation symmetries are invalid because of failure of the Bethe Ansatz involving configurations with multiply-occupied (n > 3) sites. An at-first-sight surprising implication is that for the distinguishable-particle lattice gas model, the Bethe-Ansatz wavefunctions do not constitute a complete set.",

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T1 - Failure of Bethe-Ansatz solutions of generalisations of the Hubbard chain to arbitrary permutation symmetry

AU - Choy, T. C.

AU - Haldane, F. D.M.

PY - 1982/6/21

Y1 - 1982/6/21

N2 - We find that our previously-reported solutions of extensions of the Lieb-Wu solutions of the Hubbard chain to other permutation symmetries are invalid because of failure of the Bethe Ansatz involving configurations with multiply-occupied (n > 3) sites. An at-first-sight surprising implication is that for the distinguishable-particle lattice gas model, the Bethe-Ansatz wavefunctions do not constitute a complete set.

AB - We find that our previously-reported solutions of extensions of the Lieb-Wu solutions of the Hubbard chain to other permutation symmetries are invalid because of failure of the Bethe Ansatz involving configurations with multiply-occupied (n > 3) sites. An at-first-sight surprising implication is that for the distinguishable-particle lattice gas model, the Bethe-Ansatz wavefunctions do not constitute a complete set.

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U2 - 10.1016/0375-9601(82)90057-3

DO - 10.1016/0375-9601(82)90057-3

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AN - SCOPUS:0002548471

SN - 0375-9601

VL - 90

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JO - Physics Letters A

JF - Physics Letters A

IS - 1-2

ER -

Failure of Bethe-Ansatz solutions of generalisations of the Hubbard chain to arbitrary permutation symmetry

Abstract

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