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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2, випуск за цей рік за назвою

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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • Large-j Expansion Method for Two-Body Dirac Equation 
    Duviryak, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    By using symmetry properties, the two-body Dirac equation in coordinate representation is reduced to the coupled pair of radial second-order differential equations. Then the large-j expansion technique is used to solve a ...
  • Lax Integrable Supersymmetric Hierarchies on Extended Phase Spaces 
    Hentosh, O.Ye. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We obtain via Bäcklund transformation the Hamiltonian representation for a Lax type nonlinear dynamical system hierarchy on a dual space to the Lie algebra of super-integral-differential operators of one anticommuting ...
  • Localized Induction Equation for Stretched Vortex Filament 
    Konno, K.; Kakuhata, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We study numerically the motion of the stretched vortex filaments by using the localized induction equation with the stretch and that without the stretch.
  • Mathematical Analysis of a Generalized Chiral Quark Soliton Model 
    Arai, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    A generalized version of the so-called chiral quark soliton model (CQSM) in nuclear physics is introduced. The Hamiltonian of the generalized CQSM is given by a Dirac type operator with a mass term being an operator-valued ...
  • Multivariable Christoffel-Darboux kernels and characteristic polynomials of random hermitian matrices 
    Rosengren, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We study multivariable Christoffel-Darboux kernels, which may be viewed as reproducing kernels for antisymmetric orthogonal polynomials, and also as correlation functions for products of characteristic polynomials of random ...
  • Nonclassical Approximate Symmetries of Evolution Equations with a Small Parameter 
    Kordyukova, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We introduce a method of approximate nonclassical Lie-Bäcklund symmetries for partial differential equations with a small parameter and discuss applications of this method to finding of approximate solutions both integrable ...
  • Noncommutative geometry: fuzzy spaces, the Groenewold-Moyal plane 
    Balachandran, A.P.; Qureshi, B.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    In this talk, we review the basics concepts of fuzzy physics and quantum field theory on the Groenewold-Moyal Plane as examples of noncommutative spaces in physics. We introduce the basic ideas, and discuss some important ...
  • Non-commutative mechanics in mathematical & in condensed matter physics 
    Horváthy, P.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    Non-commutative structures were introduced, independently and around the same time, in mathematical and in condensed matter physics (see Table 1). Souriau's construction applied to the two-parameter central extension of ...
  • On Action Invariance under Linear Spinor-Vector Supersymmetry 
    Shima, K.; Tsuda, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We show explicitly that a free Lagrangian expressed in terms of scalar, spinor, vector and Rarita-Schwinger (RS) fields is invariant under linear supersymmetry transformations generated by a global spinor-vector parameter. ...
  • On a 'Mysterious' Case of a Quadratic Hamiltonian 
    Sakovich, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We show that one of the five cases of a quadratic Hamiltonian, which were recently selected by Sokolov and Wolf who used the Kovalevskaya-Lyapunov test, fails to pass the Painlevé test for integrability.
  • On a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa-Holm Equation 
    Aratyn, H.; Gomes, J.F.; Zimerman, A.H. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    Different gauge copies of the Ablowitz-Kaup-Newell-Segur (AKNS) model labeled by an angle θ are constructed and then reduced to the two-component Camassa-Holm model. Only three different independent classes of reductions ...
  • On Classical r-Matrix for the Kowalevski Gyrostat on so(4) 
    Komarov, I.V.; Tsiganov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We present the trigonometric Lax matrix and classical r-matrix for the Kowalevski gyrostat on so(4) algebra by using the auxiliary matrix algebras so(3,2) or sp(4).
  • On Deformations and Contractions of Lie Algebras 
    Fialowski, A.; Marc de Montigny (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    In this contributed presentation, we discuss and compare the mutually opposite procedures of deformations and contractions of Lie algebras. We suggest that with appropriate combinations of both procedures one may construct ...
  • On Linearizing Systems of Diffusion Equations 
    Sophocleous, C.; Wiltshire, R.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We consider systems of diffusion equations that have considerable interest in Soil Science and Mathematical Biology and focus upon the problem of finding those forms of this class that can be linearized. In particular we ...
  • On One Approach to Investigation of Mechanical System 
    Irtegov, V.D.; Titorenko, T.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The paper presents some results of qualitative analysis of Kirchhoff's differential equations describing motion of a rigid body in ideal fluid in Sokolov's case. The research methods are based on Lyapunov's classical ...
  • On Orthogonality Relations for Dual Discrete q-Ultraspherical Polynomials 
    Groza, V.A.; Kachuryk, I.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The dual discrete q-ultraspherical polynomials Dn(s)(μ(x;s)|q) correspond to indeterminate moment problem and, therefore, have one-parameter family of extremal orthogonality relations. It is shown that special cases of ...
  • On Regularized Solution for BBGKY Hierarchy of One-Dimensional Infinite System 
    Ryabukha, T.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We construct a regularized cumulant (semi-invariant) representation of a solution of the initial value problem for the BBGKY hierarchy for a one-dimensional infinite system of hard spheres interacting via a short-range ...
  • On the Darboux-Nijenhuis variables for the open Toda lattice 
    Grigoryev, Y.A.; Tsiganov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We discuss two known constructions proposed by Moser and by Sklyanin of the Darboux-Nijenhuis coordinates for the open Toda lattice.
  • On the Degenerate Multiplicity of the sl₂ Loop Algebra for the 6V Transfer Matrix at Roots of Unity 
    Deguchi, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We review the main result of cond-mat/0503564. The Hamiltonian of the XXZ spin chain and the transfer matrix of the six-vertex model has the sl₂ loop algebra symmetry if the q parameter is given by a root of unity, q₀2N = ...
  • On the Effective Action of Dressed Mean Fields for N = 4 Super-Yang-Mills Theory 
    Cvetic, G.; Kondrashuk, I.; Schmidt, I. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    On the basis of the general considerations such as R-operation and Slavnov-Taylor identity we show that the effective action, being understood as Legendre transform of the logarithm of the path integral, possesses particular ...

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