A Super-Integrable Two-Dimensional Non-Linear Oscillator with an Exactly Solvable Quantum Analog ? [PDF]
, 2007 Two super-integrable and super-separable classical systems which can be con- sidered as deformations of the harmonic oscillator and the Smorodinsky-Winternitz in two dimensions are studied and identified with motions in spaces of constant curvature, the ...
J. Cariñena, M. F. Ranada, M. Santander
semanticscholar +1 more source
Universal Bethe ansatz solution for the Temperley-Lieb spin chain [PDF]
, 2016 We consider the Temperley-Lieb (TL) open quantum spin chain with "free" boundary conditions associated with the spin-$s$ representation of quantum-deformed $sl(2)$.
Nepomechie, Rafael I. +1 more
core +3 more sources
Exact solvability of superintegrable Benenti systems
, 2007 We establish quantum and classical exact solvability for two large classes of maximally superintegrable Benenti systems in $n$ dimensions with arbitrarily large $n$.
Arnold V. I., Artur Sergyeyev
core +1 more source
$N$-Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schr\"odinger Equation [PDF]
, 2017 In this paper, a general bright-dark soliton solution in the form of Pfaffian is constructed for an integrable semi-discrete vector NLS equation via Hirota's bilinear method.
Feng, Bao-Feng, Ohta, Yasuhiro
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Representation reduction and solution space contraction in quasi-exactly solvable systems [PDF]
, 2006 In quasi-exactly solvable problems partial analytic solutions (energy spectrum and associated wavefunctions) are obtained if some potential parameters are assigned specific values. We introduce a new class in which exact solutions are obtained at a given
A. D. Alhaidari
semanticscholar +1 more source
Multidimensional Toda Lattices: Continuous and Discrete Time [PDF]
, 2016 In this paper we present multidimensional analogues of both the continuous- and discrete-time Toda lattices. The integrable systems that we consider here have two or more space coordinates.
Aptekarev, Alexander I. +3 more
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Zero curvature representation for a new fifth-order integrable system [PDF]
Journal of Mathematical Sciences 151 (2008), No. 4, 3227-3229, 2006 In this brief note we present a zero-curvature representation for one of the new integrable system found by Mikhailov, Novikov and Wang in nlin.SI/0601046.
arxiv +1 more source
Spreading of correlations in exactly solvable quantum models with long-range interactions in arbitrary dimensions [PDF]
, 2016 We study the out-of-equilibrium dynamics induced by quantum quenches in quadratic Hamiltonians featuring both short- and long-range interactions. The spreading of correlations in the presence of algebraic decaying interactions, 1/Rα, is studied for ...
L. Cevolani +2 more
semanticscholar +1 more source
Deformed Harry Dym and Hunter-Zheng Equations
, 2003 We study the deformed Harry Dym and Hunter-Zheng equations with two arbitrary deformation parameters. These reduce to various other known models in appropriate limits.
Alber M. S. +14 more
core +1 more source
Integrability and Conformal Symmetry in the BCS model [PDF]
, 2001 The exactly solvable BCS Hamiltonian of superconductivity is considered from several viewpoints: Richardson's ansatz, conformal field theory, integrable inhomogenous vertex models and Chern-Simons theory.Comment: Latex with macros included, 12 pages ...
A.N. Redlich +29 more
core +3 more sources