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Form factors and complete spectrum of XXX antiperiodic higher spin chains by quantum separation of variables

Niccoli, G.

Journal of mathematical physics, 2013-05, Vol.54 (5), p.1 [Periódico revisado por pares]

New York: American Institute of Physics

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  • Título:
    Form factors and complete spectrum of XXX antiperiodic higher spin chains by quantum separation of variables
  • Autor: Niccoli, G.
  • Assuntos: ALGEBRA ; CHAINS ; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ; Determinants ; FORM FACTORS ; LATTICE FIELD THEORY ; Mathematical analysis ; MATHEMATICAL METHODS AND COMPUTING ; MATHEMATICAL MODELS ; Matrix ; Operators ; QUANTUM MECHANICS ; Quantum physics ; REFLECTION ; Representations ; Scalars ; SPECTRA ; SPIN ; Variables
  • É parte de: Journal of mathematical physics, 2013-05, Vol.54 (5), p.1
  • Notas: ObjectType-Article-2
    SourceType-Scholarly Journals-1
    ObjectType-Feature-1
    content type line 23
  • Descrição: The antiperiodic transfer matrices associated to higher spin representations of the rational 6-vertex Yang-Baxter algebra are analyzed by generalizing the approach introduced recently in the framework of Sklyanin's quantum separation of variables (SOV) for cyclic representations, spin-1/2 highest weight representations, and also for spin-1/2 representations of the 6-vertex reflection algebra. Such SOV approach allow us to derive exactly results which represent complicate tasks for more traditional methods based on Bethe ansatz and Baxter Q-operator. In particular, we both prove the completeness of the SOV characterization of the transfer matrix spectrum and its simplicity. Then, the derived characterization of local operators by Sklyanin's quantum separate variables and the expression of the scalar products of separate states by determinant formulae allow us to compute the form factors of the local spin operators by one determinant formulae similar to those of the scalar products.
  • Editor: New York: American Institute of Physics
  • Idioma: Inglês

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