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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4, випуск за цей рік за назвою

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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • Solutions Classification to the Extended Reduced Ostrovsky Equation 
    Stepanyants, Y.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    An alternative to the Parkes' approach [SIGMA 4 (2008), 053, 17 pages] is suggested for the solutions categorization to the extended reduced Ostrovsky equation (the exROE in Parkes' terminology). The approach is based on ...
  • Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons 
    Duviryak, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    The two-body Dirac equation with general local potential is reduced to the pair of ordinary second-order differential equations for radial components of a wave function. The class of linear + Coulomb potentials with ...
  • Some Orthogonal Polynomials in Four Variables 
    Dunkl, C.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    The symmetric group on 4 letters has the reflection group D₃ as an isomorphic image. This fact follows from the coincidence of the root systems A₃ and D₃. The isomorphism is used to construct an orthogonal basis of polynomials ...
  • Sonine Transform Associated to the Dunkl Kernel on the Real Line 
    Soltani, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We consider the Dunkl intertwining operator Vα and its dual tVα, we define and study the Dunkl Sonine operator and its dual on R. Next, we introduce complex powers of the Dunkl Laplacian Δα and establish inversion formulas ...
  • Space-Time Diffeomorphisms in Noncommutative Gauge Theories 
    Rosenbaum, M.; Vergara, J.D.; Juarez, L.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    In previous work [Rosenbaum M. et al., J. Phys. A: Math. Theor. 40 (2007), 10367–10382] we have shown how for canonical parametrized field theories, where space-time is placed on the same footing as the other fields in the ...
  • String Functions for Affine Lie Algebras Integrable Modules 
    Kulish, P.; Lyakhovsky, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
  • SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry 
    Hasebe, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We review the recent developments of the SUSY quantum Hall effect [hep-th/0409230, hep-th/0411137, hep-th/0503162, hep-th/0606007, arXiv:0705.4527]. We introduce a SUSY formulation of the quantum Hall effect on supermanifolds. ...
  • Symmetries of Spin Calogero Models 
    Caudrelier, V.; Crampé, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We investigate the symmetry algebras of integrable spin Calogero systems constructed from Dunkl operators associated to finite Coxeter groups. Based on two explicit examples, we show that the common view of associating one ...
  • Symmetry Extensions and Their Physical Reasons in the Kinetic and Hydrodynamic Plasma Models 
    Taranov, V.B. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    Characteristic examples of continuous symmetries in hydrodynamic plasma theory (partial differential equations) and in kinetic Vlasov-Maxwell models (integro-differential equations) are considered. Possible symmetry ...
  • Symmetry Transformation in Extended Phase Space: the Harmonic Oscillator in the Husimi Representation 
    Bahrami, S.; Nasiri, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    In a previous work the concept of quantum potential is generalized into extended phase space (EPS) for a particle in linear and harmonic potentials. It was shown there that in contrast to the Schrödinger quantum mechanics ...
  • The Fundamental k-Form and Global Relations 
    Anthony C.L. Ashton (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    In [Proc. Roy. Soc. London Ser. A 453 (1997), no. 1962, 1411-1443] A.S. Fokas introduced a novel method for solving a large class of boundary value problems associated with evolution equations. This approach relies on the ...
  • The N = 1 Triplet Vertex Operator Superalgebras: Twisted Sector 
    Adamovic, D.; Milas, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We classify irreducible σ-twisted modules for the N = 1 super triplet vertex operator superalgebra SW(m) introduced recently [Adamovic D., Milas A., Comm. Math. Phys., to appear, arXiv:0712.0379]. Irreducible graded ...
  • The PBW Filtration, Demazure Modules and Toroidal Current Algebras 
    Feigin, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    Let L be the basic (level one vacuum) representation of the affine Kac-Moody Lie algebra ^g. The m-th space Fm of the PBW filtration on L is a linear span of vectors of the form x1¼xlv0, where l ≤ m, xi Î ^g and v0 is a ...
  • The Research of Thomas P. Branson 
    Eastwood, M.G.; Gover, A.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    The Midwest Geometry Conference 2007 was devoted to the substantial mathematical legacy of Thomas P. Branson who passed away unexpectedly the previous year. This contribution to the Proceedings briefly introduces this ...
  • The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time 
    Matsyuk, R.Ya. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    The variational principle and the corresponding differential equation for geodesic circles in two dimensional (pseudo)-Riemannian space are being discovered. The relationship with the physical notion of uniformly accelerated ...
  • Three Order Parameters in Quantum XZ Spin-Oscillator Models with Gibbsian Ground States 
    Dorlas, T.C.; Skrypnik, W.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    Quantum models on the hyper-cubic d-dimensional lattice of spin-1/2 particles interacting with linear oscillators are shown to have three ferromagnetic ground state order parameters. Two order parameters coincide with the ...
  • Towards Unifying Structures in Higher Spin Gauge Symmetry 
    Bengtsson, Anders K.H. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    This article is expository in nature, outlining some of the many still incompletely understood features of higher spin field theory. We are mainly considering higher spin gauge fields in their own right as free-standing ...
  • Tridiagonal Symmetries of Models of Nonequilibrium Physics 
    Aneva, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We study the boundary symmetries of models of nonequilibrium physics where the steady state behaviour strongly depends on the boundary rates. Within the matrix product state approach to many-body systems the physics is ...
  • Twin ''Fano-Snowflakes'' over the Smallest Ring of Ternions 
    Saniga, M.; Havlicek, H.; Planat, M.; Pracna, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    Given a finite associative ring with unity, R, any free (left) cyclic submodule (FCS) generated by a unimodular (n + 1)-tuple of elements of R represents a point of the n-dimensional projective space over R. Suppose that ...
  • Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions 
    Meshkov, A.G.; Balakhnev, M.Ju. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    A list of forty third-order exactly integrable two-field evolutionary systems is presented. Differential substitutions connecting various systems from the list are found. It is proved that all the systems can be obtained ...

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