Algebraic construction of quantum integrable models including inhomogeneous models

Anjan Kundu

doi:10.1016/s0034-4877(01)80016-1

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arXiv · hep-th/9909042

Algebraic construction of quantum integrable models including inhomogeneous models

Anjan Kundu

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Abstract

Exploiting the quantum integrability condition we construct an ancestor model associated with a new underlying quadratic algebra. This ancestor model represents an exactly integrable quantum lattice inhomogeneous anisotropic model and at its various realizations and limits can generate a wide range of integrable models. They cover quantum lattice as well as field models associated with the quantum $R$-matrix of trigonometric type or at the undeformed $q \to 1$ limit similar models belonging to the rational class. The classical limit likewise yields the corresponding classical discrete and field models. Thus along with the generation of known integrable models in a unifying way a new class of inhomogeneous models including variable mass sine-Gordon model, inhomogeneous Toda chain, impure spin chains etc. are constructed.

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BibTeX RIS

Anjan Kundu. 1999-09-08. Algebraic construction of quantum integrable models including inhomogeneous models. https://doi.org/10.1016/s0034-4877(01)80016-1

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