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The International Workshop “Classical and quantum integrable systems and supersymmetry” (CQISS’2016)
quantum mechanics field theory
2016/7/18
The International Workshop “Classical and quantum integrable systems and supersymmetry” (CQISS’2016) will be held at the Chern Institute of Mathematics, Nankai University, China from September 19 to S...
Integrable equations and classical S-matrix
Integrable equations classical S-matrix Mathematical Physics
2012/4/26
We study amplitudes of five-wave interactions for evolution Hamiltonian equations differ from the KdV equation by the form of dispersion law. We find that five-wave amplitude is canceled for all three...
On the Supersymmetric Spectra of two Planar Integrable Quantum Systems
Supersymmetric Spectra Planar Integrable Quantum Systems High Energy Physics - Theory
2011/10/9
Abstract: Two planar supersymmetric quantum mechanical systems built around the quantum integrable Kepler/Coulomb and Euler/Coulomb problems are analyzed in depth. The supersymmetric spectra of both s...
Discrete Integrable Systems and Hodograph Transformations Arising from Motions of Discrete Plane Curves
Discrete Integrable Systems Hodograph Transformations Motions of Discrete Plane Curves
2011/9/29
Abstract: We consider integrable discretizations of some soliton equations associated with the motions of plane curves: the Wadati-Konno-Ichikawa elastic beam equation, the complex Dym equation, and t...
The su(n) WZNW fusion ring as integrable model: a new algorithm to compute fusion coefficients
Quantum integrable models Plactic algebra Bethe Ansatz Fusion ring Verlinde algebra
2011/7/26
Abstract: This is a proceedings article reviewing a recent combinatorial construction of the su(n) WZNW fusion ring by C. Stroppel and the author. It contains one novel aspect: the explicit derivation...
W-extended Kac representations and integrable boundary conditions in the logarithmic minimal models WLM(1,p)
W-extended Kac representations integrable boundary conditions the logarithmic minimal models
2011/7/28
W-extended Kac representations and integrable boundary conditions in the logarithmic minimal models WLM(1,p).
On a unified formulation of completely integrable systems
integrable systems Hamiltonian dynamics linear normal forms
2011/7/28
On a unified formulation of completely integrable systems.
Integrable relativistic systems given by Hamiltonians with momentum-spin-orbit coupling
Integrable relativistic systems Hamiltonians momentum-spin-orbit coupling
2011/7/26
Abstract: In the paper we investigate the evolution of the relativistic particle (massive and massless) with spin defined by Hamiltonian containing the terms with momentum-spin-orbit coupling. We inte...
Hierarchy of integrable Hamiltonians describing of nonlinear n-wave interaction
Hierarchy of integrable Hamiltonians nonlinear n-wave interaction Exactly Solvable and Integrable Systems
2011/7/26
Abstract: In the paper we construct an hierarchy of integrable Hamiltonian systems which describe the variation of n-wave envelopes in nonlinear dielectric medium. The exact solutions for some special...
A new dynamical reflection algebra and related quantum integrable systems
dynamical reflection algebra quantum integrable systems High Energy Physics Theory
2011/7/26
Abstract: We propose a new dynamical reflection algebra, distinct from the previous dynamical boundary algebra and semi-dynamical reflection algebra. The associated Yang-Baxter equations, coactions, f...
Families of integrable equations
Integrable lattice equations Yang-Baxter maps Consistency around the cube
2011/7/27
Abstract: We present a method to obtain families of lattice equations. Specifically we focus on two of such families, which include 3-parameters and their members are connected through B\"acklund tran...
Thirty years of studies of integrable reductions of Einstein's field equations
integrable reductions Einstein's field equations
2010/12/27
More than thirty years passed since the first discoveries of various aspects of integrability of the symmetry reduced vacuum Einstein equations and electrovacuum Einstein - Maxwell equations were made...
The quantum $H_4$ integrable system is a $4D$ system with rational potential related to the non-crystallographic root system $H_4$ with 600-cell symmetry. It is shown that the gauge-rotated $H_4$ Ham...
Resonance clustering in wave turbulent regimes: Integrable dynamics
Resonance clustering wave turbulent regimes Integrable dynamics
2010/4/2
Two fundamental facts of the modern wave turbulence theory are 1) existence of power energy spectra in $k$-space, and 2) existence of "gaps" in this spectra corresponding to the resonance clustering. ...
Partially integrable dynamics of ensembles of nonidentical oscillators
integrable dynamics nonidentical oscillators
2010/4/1
We consider ensembles of sine-coupled phase oscillators consisting of subpopulations of identical units, with a general heterogeneous coupling between subpopulations. Using the Watanabe-Strogatz ansat...