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Canonical Bäcklund transformation for the DST model under open boundary conditions

Barun Khanra1 and A Ghose Choudhury2

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We study a Bäcklund transformation for the dimer self-trapping (DST) model under open boundary conditions. As in the periodic case, the transformation is found to be canonical with a corresponding generating function. The spectrality property of the transformation is investigated. Finally, as an application of Bäcklund transformations we study its connection with discrete-time dynamics.


PACS

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

03.65.Nk Scattering theory

02.30.Zz Inverse problems

02.30.Ik Integrable systems

MSC

37K10 Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.)

81U40 Inverse scattering problems

Subjects

Mathematical physics

Quantum information and quantum mechanics

Statistical physics and nonlinear systems

Dates

Issue 8 (August 2009)

Received 13 January 2009, in final form 22 May 2009

Published 24 June 2009



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