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Separation of Variables for a Lattice Integrable System and the Inverse Problem |
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| Authors: | Supriya Mukherjee A. Ghose Choudhury A. Roy Chowdhury |
| Affiliation: | (1) High Energy Physics Division, Department of Physics, Jadavpur University, Calcutta, 700 032, India;(2) Department of Physics, Surendranath College, 24/2 Mahatma Gandhi Road, Calcutta, 700 009, India;(3) Present address: Deptment of Humanities and Science, Netaji Subhash Engineering College, Kolkata, 700 084, India |
| Abstract: | We investigate the relation between the local variables of a discrete integrable lattice system and the corresponding separation variables, derived from the associated spectral curve. In particular, we have shown how the inverse transformation from the separation variables to the discrete lattice variables may be factorized as a sequence of canonical transformations. |
| Keywords: | seperation of variables nonlinear integrable system inverse scattering |
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