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On the algebraic Bethe ansatz for the XXX spin chain: creation operators 'beyond the equator'

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A E Kovalsky1,2 and G P Pronko2,3

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LETTER TO THE EDITOR

Considering the XXX spin-1/2 chain in the framework of the algebraic Bethe ansatz, we make the following short comment: the product of the creation operators corresponding to the recently found solution of the Bethe equations 'on the wrong side of the equator' [1] is just zero (not only its action on the pseudovacuum).


PACS

05.50.+q Lattice theory and statistics (Ising, Potts, etc.)

02.10.Yn Matrix theory

MSC

82B23 Exactly solvable models; Bethe ansatz

15A30 Algebraic systems of matrices (See also 16S50, 20Gxx, 20Hxx)

Subjects

Mathematical physics

Statistical physics and nonlinear systems

Dates

Issue 32 (16 August 2002)

Received 3 May 2002

Published 2 August 2002



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    A E Kovalsky and G P Pronko 2002 J. Phys. A: Math. Gen. 35 L509

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