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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • Some Remarks on the KP System of the Camassa-Holm Hierarchy 
    Ortenzi, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We study a Kadomtsev-Petviashvili system for the local Camassa-Holm hierarchy obtaining a candidate to the Baker-Akhiezer function for its first reduction generalizing the local Camassa-Holm. We focus our attention on the ...
  • Some Sharp L² Inequalities for Dirac Type Operators 
    Balinsky, A.; Ryan, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We use the spectra of Dirac type operators on the sphere Sn to produce sharp L² inequalities on the sphere. These operators include the Dirac operator on Sn, the conformal Laplacian and Paenitz operator. We use the Cayley ...
  • Spectral Curves of Operators with Elliptic Coefficients 
    Eilbeck, J.C.; Enolski, V.Z.; Previato, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    A computer-algebra aided method is carried out, for determining geometric objects associated to differential operators that satisfy the elliptic ansatz. This results in examples of Lamé curves with double reduction and in ...
  • Stability Analysis of Continuous Waves in Nonlocal Random Nonlinear Media 
    Molchan, M.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    On the basis of the competing cubic-quintic nonlinearity model, stability (instability) of continuous waves in nonlocal random non-Kerr nonlinear media is studied analytically and numerically. Fluctuating media parameters ...
  • Stanilov-Tsankov-Videv Theory 
    Brozos-Vázquez, M.; Fiedler, B.; García-Río, E.; Gilkey, P.; Nikcevic, S.; Stanilov, G.; Tsankov, Y.; Vázquez-Lorenzo, R.; Videv, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We survey some recent results concerning Stanilov-Tsankov-Videv theory, conformal Osserman geometry, and Walker geometry which relate algebraic properties of the curvature operator to the underlying geometry of the manifold.
  • Straight Quantum Waveguide with Robin Boundary Conditions 
    Jílek, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We investigate spectral properties of a quantum particle confined to an infinite straight planar strip by imposing Robin boundary conditions with variable coupling. Assuming that the coupling function tends to a constant ...
  • SU₂ Nonstandard Bases: Case of Mutually Unbiased Bases 
    Albouy, O.; Kibler, M.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    This paper deals with bases in a finite-dimensional Hilbert space. Such a space can be realized as a subspace of the representation space of SU₂ corresponding to an irreducible representation of SU₂. The representation ...
  • Symmetries and Invariant Differential Pairings 
    Eastwood, M.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The purpose of this article is to motivate the study of invariant, and especially conformally invariant, differential pairings. Since a general theory is lacking, this work merely presents some interesting examples of these ...
  • Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity 
    Shapovalov, A.V.; Rezaev, R.O.; Trifonov, A.Yu. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The Cauchy problem for the Fokker-Plank-Kolmogorov equation with a nonlocal nonlinear drift term is reduced to a similar problem for the correspondent linear equation. The relation between symmetry operators of the linear ...
  • Teichmüller Theory of Bordered Surfaces 
    Chekhov, L.O. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We propose the graph description of Teichmüller theory of surfaces with marked points on boundary components (bordered surfaces). Introducing new parameters, we formulate this theory in terms of hyperbolic geometry. We can ...
  • The 6 Vertex Model and Schubert Polynomials 
    Lascoux, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We enumerate staircases with fixed left and right columns. These objects correspond to ice-configurations, or alternating sign matrices, with fixed top and bottom parts. The resulting partition functions are equal, up to ...
  • The Rahman Polynomials Are Bispectral 
    Grünbaum, F.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    In a very recent paper, M. Rahman introduced a remarkable family of polynomials in two variables as the eigenfunctions of the transition matrix for a nontrivial Markov chain due to M. Hoare and M. Rahman. I indicate here ...
  • The Relationship between Zhedanov's Algebra AW(3) and the Double Affine Hecke Algebra in the Rank One Case 
    Koornwinder, T.H. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Zhedanov's algebra AW(3) is considered with explicit structure constants such that, in the basic representation, the first generator becomes the second order q-difference operator for the Askey-Wilson polynomials. It is ...
  • The Symmetric Tensor Lichnerowicz Algebra and a Novel Associative Fourier-Jacobi Algebra 
    Hallowell, K.; Waldron, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Lichnerowicz's algebra of differential geometric operators acting on symmetric tensors can be obtained from generalized geodesic motion of an observer carrying a complex tangent vector. This relation is based upon quantizing ...
  • The Veldkamp Space of Two-Qubits 
    Saniga, M.; Planat, M.; Pracna, P.; Havlicek, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Given a remarkable representation of the generalized Pauli operators of two-qubits in terms of the points of the generalized quadrangle of order two, W(2), it is shown that specific subsets of these operators can also be ...
  • The Virasoro Algebra and Some Exceptional Lie and Finite Groups 
    Tuite, M.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We describe a number of relationships between properties of the vacuum Verma module of a Virasoro algebra and the automorphism group of certain vertex operator algebras. These groups include the Deligne exceptional series ...
  • Toeplitz Operators, Kähler Manifolds, and Line Bundles 
    Foth, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    This is a survey paper. We discuss Toeplitz operators in Kähler geometry, with applications to geometric quantization, and review some recent developments.
  • Towards Finite-Gap Integration of the Inozemtsev Model 
    Takemura, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The Inozemtsev model is considered to be a multivaluable generalization of Heun's equation. We review results on Heun's equation, the elliptic Calogero-Moser-Sutherland model and the Inozemtsev model, and discuss some ...
  • Translation to Bundle Operators 
    Branson, T.P.; Hong, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We give explicit formulas for conformally invariant operators with leading term an m-th power of Laplacian on the product of spheres with the natural pseudo-Riemannian product metric for all m.
  • Two-Dimensional Supersymmetric Quantum Mechanics: Two Fixed Centers of Force 
    González León, M.A.; Mateos Guilarte, J.; M. de la Torre Mayado (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The problem of building supersymmetry in the quantum mechanics of two Coulombian centers of force is analyzed. It is shown that there are essentially two ways of proceeding. The spectral problems of the SUSY (scalar) ...

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