This article is cited in 2 scientific papers (total in 2 papers)
Construction of a new class of quantum integrable inhomogeneous models
Saha Institute of Nuclear Physics
Integrable inhomogeneous or impurity models are usually constructed by either shifting the spectral parameter in the Lax operator or using another representation of the spin algebra. We propose a more involved general method for such construction in which the Lax operator contains generators of a novel quadratic algebra, a generalization of the known quantum algebra. In forming the monodromy matrix, we can replace any number of the local Lax operators with different realizations of the underlying algebra, which can result in spin chains with nonspin impurities causing changed coupling across the impurity sites, as well as with impurities in the form of bosonic operators. Following the same idea, we can also generate integrable inhomogeneous versions of the generalized lattice sine-Gordon model, nonlinear Schrцdinger equation, Liouville model, relativistic and nonrelativistic Toda chains, etc.
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Theoretical and Mathematical Physics, 1999, 118:3, 333–340
A. Kundu, “Construction of a new class of quantum integrable inhomogeneous models”, TMF, 118:3 (1999), 423–433; Theoret. and Math. Phys., 118:3 (1999), 333–340
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\paper Construction of a new class of quantum integrable inhomogeneous models
\jour Theoret. and Math. Phys.
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This publication is cited in the following articles:
Kundu, A, “Generation of new classes of integrable quantum and statistical models”, Physica A-Statistical Mechanics and Its Applications, 318:1–2 (2003), 144
Kundu, A, “Unifying quantization for inhomogeneous integrable models”, Physics Letters B, 633:4–5 (2006), 657
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