منابع مشابه
Generalized Integrable Lattice Systems
We generalize Toda–like integrable lattice systems to non–symmetric case. We show that they possess the bi–Hamiltonian structure.
متن کاملGeneralized thermalization in an integrable lattice system.
After a quench, observables in an integrable system may not relax to the standard thermal values, but can relax to the ones predicted by the generalized Gibbs ensemble (GGE) [M. Rigol et al., Phys. Rev. Lett. 98, 050405 (2007)]. The GGE has been shown to accurately describe observables in various one-dimensional integrable systems, but the origin of its success is not fully understood. Here we ...
متن کاملSome Integrable Quantum Systems on the Lattice
The Weyl relations, the harmonic oscillator, the hydrogen atom, the Dirac equation on the lattice are presented with the help of the difference equations and the orthogonal polynomials of discrete variable. This area of research is attracting more interest due to the lattice field theories and the hypothesis of a finite space. 1 Weyl group on finite space We defined the position space of dimens...
متن کاملIntegrable Lattice Systems and Markov Processes
Lattice systems with certain Lie algebraic or quantum Lie algebraic symmetries are constructed. These symmetric models give rise to series of integrable systems. As examples the An-symmetric chain models and the SU(2)-invariant ladder models are investigated. It is shown that corresponding to these An-symmetric chain models and SU(2)invariant ladder models there are exactly solvable stationary ...
متن کاملLattice integrable systems of Haldane-Shastry type.
We present a new lattice integrable system in one dimension of the Haldane-Shastry type. It consists of spins positioned at the static equilibrium positions of particles in a corresponding classical Calogero system and interacting through an exchange term with strength inversely proportional to the square of their distance. We achieve this by viewing the Haldane-Shastry system as a high-interac...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 1992
ISSN: 0370-2693
DOI: 10.1016/0370-2693(92)90402-p