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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік за датою випуску

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік за датою випуску

Сортувати за: Порядок: Результатів:

  • On a nonlocal Ostrovsky–Whitham type dynamical system, its Riemann type inhomogeneous regularizations and their integrability 
    Golenia, J.; Pavlov, M.V.; Popowicz, Z.; Prykarpatsky, A.K. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Short-wave perturbations in a relaxing medium, governed by a special reduction of the Ostrovsky evolution equation, and later derived by Whitham, are studied using the gradient-holonomic integrability algorithm. The ...
  • Modularity, Atomicity and States in Archimedean Lattice Effect Algebras 
    Paseka, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Effect algebras are a generalization of many structures which arise in quantum physics and in mathematical economics. We show that, in every modular Archimedean atomic lattice effect algebra E that is not an orthomodular ...
  • Archimedean Atomic Lattice Effect Algebras with Complete Lattice of Sharp Elements 
    Riecanová, Z. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We study Archimedean atomic lattice effect algebras whose set of sharp elements is a complete lattice. We show properties of centers, compatibility centers and central atoms of such lattice effect algebras. Moreover, we ...
  • Classical Particle in Presence of Magnetic Field, Hyperbolic Lobachevsky and Spherical Riemann Models 
    Kudryashov, V.V.; Kurochkin, Yu.A.; Ovsiyuk, E.M.; Red'kov, V.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Motion of a classical particle in 3-dimensional Lobachevsky and Riemann spaces is studied in the presence of an external magnetic field which is analogous to a constant uniform magnetic field in Euclidean space. In both ...
  • Algebraic Properties of Curvature Operators in Lorentzian Manifolds with Large Isometry Groups 
    Calvaruso, G.; García-Río, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Together with spaces of constant sectional curvature and products of a real line with a manifold of constant curvature, the socalled Egorov spaces and ε-spaces exhaust the class of n-dimensional Lorentzian manifolds ...
  • Peterson's Deformations of higher dimensional quadrics 
    Dincă, I.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We provide the first explicit examples of deformations of higher dimensional quadrics: a straightforward generalization of Peterson's explicit 1-dimensional family of deformations in C³ of 2-dimensional general quadrics ...
  • PT Symmetric Schrödinger Operators: Reality of the Perturbed Eigenvalues 
    Caliceti, E.; Cannata, F.; Graffi, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We prove the reality of the perturbed eigenvalues of some PT symmetric Hamiltonians of physical interest by means of stability methods. In particular we study 2-dimensional generalized harmonic oscillators with polynomial ...
  • Quantum Isometry Group for Spectral Triples with Real Structure 
    Goswami, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Given a spectral triple of compact type with a real structure in the sense of [Dabrowski L., J. Geom. Phys. 56 (2006), 86-107] (which is a modification of Connes' original definition to accommodate examples coming from ...
  • On Special Berwald Metrics 
    Tayebi, A.; Peyghan, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    In this paper, we study a class of Finsler metrics which contains the class of Berwald metrics as a special case. We prove that every Finsler metric in this class is a generalized Douglas-Weyl metric. Then we study isotropic ...
  • q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra Uq(u(n,1)) 
    Asherova, R.M.; Burdík, Č.; Havlíček, M.; Smirnov, Y.F.; Tolstoy, V.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    For the quantum algebra Uq(gl(n+1)) in its reduction on the subalgebra Uq(gl(n)) an explicit description of a Mickelsson-Zhelobenko reduction Z-algebra Zq(gl(n+1),gl(n)) is given in terms of the generators and their defining ...
  • Krein Spaces in de Sitter Quantum Theories 
    Gazeau, J.P.; Siegl, P.; Youssef, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Experimental evidences and theoretical motivations lead to consider the curved space-time relativity based on the de Sitter group SO0(1,4) or Sp(2,2) as an appealing substitute to the flat space-time Poincaré relativity. ...
  • Bäcklund Transformations for the Trigonometric Gaudin Magnet 
    Ragnisco, O.; Zullo, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We construct a Bäcklund transformation for the trigonometric classical Gaudin magnet starting from the Lax representation of the model. The Darboux dressing matrix obtained depends just on one set of variables because of ...
  • Bethe Ansatz, Inverse Scattering Transform and Tropical Riemann Theta Function in a Periodic Soliton Cellular Automaton for An⁽¹⁾ 
    Kuniba, A.; Takagi, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We study an integrable vertex model with a periodic boundary condition associated with Uq(An⁽¹⁾ at the crystallizing point q=0. It is an (n+1)-state cellular automaton describing the factorized scattering of solitons. The ...
  • Q-system Cluster Algebras, Paths and Total Positivity 
    di Francesko, P.; Kedem, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    In the first part of this paper, we provide a concise review of our method of solution of the Ar Q-systems in terms of the partition function of paths on a weighted graph. In the second part, we show that it is possible ...
  • Anharmonic Oscillators with Infinitely Many Real Eigenvalues and PT-Symmetry 
    Shin, K.C. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We study the eigenvalue problem −u''+V(z)u=λu in the complex plane with the boundary condition that u(z) decays to zero as z tends to infinity along the two rays arg z=−π/2± 2π/(m+2), where V(z)=−(iz)m−P(iz) for complex-valued ...
  • From Noncommutative Sphere to Nonrelativistic Spin 
    Deriglazov, A.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Reparametrization invariant dynamics on a sphere, being parameterized by angular momentum coordinates, represents an example of noncommutative theory. It can be quantized according to Berezin-Marinov prescription, replacing ...
  • Solitary Waves in Massive Nonlinear SN-Sigma Models 
    Izquierdo, A.A.; González León, M.A.; de la Torre Mayado, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The solitary waves of massive (1+1)-dimensional nonlinear SN-sigma models are unveiled. It is shown that the solitary waves in these systems are in one-to-one correspondence with the separatrix trajectories in the repulsive ...
  • Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory 
    Gerdjikov, V.S.; Grahovski, G.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The algebraic structure and the spectral properties of a special class of multi-component NLS equations, related to the symmetric spaces of BD.I-type are analyzed. The focus of the study is on the spectral theory of the ...
  • Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions 
    Chatzistavrakidis, A.; Zoupanos, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Theories defined in higher than four dimensions have been used in various frameworks and have a long and interesting history. Here we review certain attempts, developed over the last years, towards the construction of ...
  • Archimedean atomic lattice effect algebras with complete lattice of sharp elements 
    Riecanova, Z. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We study Archimedean atomic lattice effect algebras whose set of sharp elements is a complete lattice. We show properties of centers, compatibility centers and central atoms of such lattice ef fect algebras. Moreover, we ...

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