Results 1 to 10 of about 24,425,209 (308)
SOLVABILITY OF THE G2 INTEGRABLE SYSTEM [PDF]
, 1997 It is shown that the three-body trigonometric G2 integrable system is exactly solvable. If the configuration space is parametrized by certain symmetric functions of the coordinates then, for arbitrary values of the coupling constants, the Hamiltonian can
M. Rosenbaum, A. Turbiner, A. Capella
semanticscholar +1 more source
CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We develop the theory of CKP hierarchy introduced in the papers of Kyoto school [Date E., Jimbo M., Kashiwara M., Miwa T., J. Phys. Soc. Japan 50 (1981), 3806-3812] (see also [Kac V.G., van de Leur J.W., Adv. Ser. Math. Phys., Vol. 7, World Sci.
Johan W. van de Leur +2 more
doaj +1 more source
String integrability of the ABJM defect
Journal of High Energy Physics, 2022 ABJM theory in the presence of a half-BPS domain wall is dual to the D2-D4 probe brane system with nonzero worldvolume flux. The ABJM domain wall was recently shown to be integrable to lowest order in perturbation theory and bond dimension.
Georgios Linardopoulos
doaj +1 more source
Discrete Integrable Equations over Finite Fields
Symmetry, Integrability and Geometry: Methods and Applications, 2012 Discrete integrable equations over finite fields are investigated. The indeterminacy of the equation is resolved by treating it over a field of rational functions instead of the finite field itself. The main discussion concerns a generalized discrete KdV
Masataka Kanki +2 more
doaj +1 more source
Energy transport in the integrable system in contact with various types of phonon reservoirs [PDF]
, 1998 We study how energy transport in an integrable system is affected by the spectral densities of heat reservoirs. The model investigated here is the quantum harmonic chain with both ends in contact with two heat reservoirs at different temperatures.
K. Saitō, S. Takesue, S. Miyashita
semanticscholar +1 more source
Hecke Transformations of Conformal Blocks in WZW Theory. I. KZB Equations for Non-Trivial Bundles
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We describe new families of the Knizhnik-Zamolodchikov-Bernard (KZB) equations related to the WZW-theory corresponding to the adjoint $G$-bundles of different topological types over complex curves $Sigma_{g,n}$ of genus $g$ with $n$ marked points.
Andrey M. Levin +3 more
doaj +1 more source
ANALOGY OF THE SECOND ORDER PHASE TRANSITION IN QUASI-OPTICAL MICROWAVE CAVITY RESONATOR [PDF]
Радиофизика и электроника, 2015 In this paper for the first time we have discovered and studied the analogy of the second order phase transition in spheri-cal microwave cavities with heterogeneity in the form of a metal ball. The transition occurs between the state when the ball is sym-
E. M. Ganapolskii
doaj +1 more source
Hamilton-Poisson Realizations of the Integrable Deformations of the Rikitake System
Advances in Mathematical Physics, 2017 Integrable deformations of an integrable case of the Rikitake system are constructed by modifying its constants of motions. Hamilton-Poisson realizations of these integrable deformations are given.
Cristian Lăzureanu
doaj +1 more source
Evidence for ideal insulating or conducting state in a one-dimensional integrable system. [PDF]
Physical Review B (Condensed Matter), 1995 Using numerical diagonalization techniques we analyze the finite temperature/frequency conductance of a one dimensional model of interacting spinless fermions.
X. Zotos, P. Prelovšek
semanticscholar +1 more source
Multi-Component Integrable Systems and Invariant Curve Flows in Certain Geometries
Symmetry, Integrability and Geometry: Methods and Applications, 2013 In this paper, multi-component generalizations to the Camassa-Holm equation, the modified Camassa-Holm equation with cubic nonlinearity are introduced.
Changzheng Qu, Junfeng Song, Ruoxia Yao
doaj +1 more source