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The classical Toda lattice with long range interaction

Fahmi, A ; Sharif University of Technology | 2003

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  1. Type of Document: Article
  2. DOI: 10.1016/S0375-9601(02)00170-6
  3. Publisher: Elsevier , 2003
  4. Abstract:
  5. In this Letter, I introduce a generalization of Toda lattice model, in which each site can interact with all other sites with different coupling constants. To show solvability of this model, by introducing new type of quantities (which are referred to as anti-Grassmanian numbers), the equations of motion are transformed to a Lax equation and constants of motion are derived. At last, by finding a proper r matrix involutivity of these constants are shown. © 2002 Elsevier Science B.V. All rights reserved
  6. Keywords:
  7. Equations of motion ; Lax equation ; Coupling constants ; Long range interactions ; Toda lattice ; R matrices
  8. Source: Physics Letters, Section A: General, Atomic and Solid State Physics ; Volume 307, Issue 1 , 2003 , Pages 36-40 ; 03759601 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0375960102001706