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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:

  • 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) ...
  • Vacuum Energy as Spectral Geometry 
    Fulling, S.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Quantum vacuum energy (Casimir energy) is reviewed for a mathematical audience as a topic in spectral theory. Then some one-dimensional systems are solved exactly, in terms of closed classical paths and periodic orbits. ...
  • Vadim Kuznetsov. Informal Biography by Eyes of His First Adviser 
    Komarov, I.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The paper is dedicated to the memory of prominent theoretical physicist and mathematician Dr. Vadim Kuznetsov who worked, in particular, in the fields of the nonlinear dynamics, separation of variables, integrability theory, ...
  • Wavelet-Based Quantum Field Theory 
    Altaisky, M.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The Euclidean quantum field theory for the fields φΔx(x), which depend on both the position x and the resolution Δx, constructed in SIGMA 2 (2006), 046, on the base of the continuous wavelet transform, is considered. The ...
  • Weakly Nonlocal Hamiltonian Structures: Lie Derivative and Compatibility 
    Sergyeyev, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We show that under certain technical assumptions any weakly nonlocal Hamiltonian structure compatible with a given nondegenerate weakly nonlocal symplectic structure J can be written as the Lie derivative of J −1 along a ...
  • WKB Approximation in Noncommutative Gravity 
    Buric, M.; Madore, J.; Zoupanos, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We consider the quasi-commutative approximation to a noncommutative geometry defined as a generalization of the moving frame formalism. The relation which exists between noncommutativity and geometry is used to study the ...
  • Yangian of the Strange Lie Superalgebra of Qn₋₁ Type, Drinfel'd Approach 
    Stukopin, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The Yangian of the strange Lie superalgebras in Drinfel'd realization is defined. The current system generators and defining relations are described.

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