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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік за назвою

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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • Generalized Nonanalytic Expansions, PT-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillators 
    Jentschura, U.D.; Surzhykov, A.; Zinn-Justin, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The concept of a generalized nonanalytic expansion which involves nonanalytic combinations of exponentials, logarithms and powers of a coupling is introduced and its use illustrated in various areas of physics. Dispersion ...
  • Geometric Structures on Spaces of Weighted Submanifolds 
    Lee, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In this paper we use a diffeo-geometric framework based on manifolds that are locally modeled on ''convenient'' vector spaces to study the geometry of some infinite dimensional spaces. Given a finite dimensional symplectic ...
  • Geometry of Control-Affine Systems 
    Clelland, J.N.; Moseley, C.G.; Wilkens, G.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Motivated by control-affine systems in optimal control theory, we introduce the notion of a point-affine distribution on a manifold X – i.e., an affine distribution F together with a distinguished vector field contained ...
  • Hecke-Clifford Algebras and Spin Hecke Algebras IV: Odd Double Affine Type 
    Khongsap, T.; Wang, W. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We introduce an odd double affine Hecke algebra (DaHa) generated by a classical Weyl group W and two skew-polynomial subalgebras of anticommuting generators. This algebra is shown to be Morita equivalent to another new ...
  • Heisenberg-Type Families in Uq(sl₂) 
    Zuevsky, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Using the second Drinfeld formulation of the quantized universal enveloping algebra Uq(sl₂) we introduce a family of its Heisenberg-type elements which are endowed with a deformed commutator and satisfy properties similar ...
  • Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics 
    Andrianov, A.A.; Sokolov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    When several inequivalent supercharges form a closed superalgebra in Quantum Mechanics it entails the appearance of hidden symmetries of a Super-Hamiltonian. We examine this problem in one-dimensional QM for the case of ...
  • Higher Order Connections 
    Eastwood, M.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The purpose of this article is to present the theory of higher order connections on vector bundles from a viewpoint inspired by projective differential geometry.
  • Hilbert-Schmidt Operators vs. Integrable Systems of Elliptic Calogero-Moser Type III. The Heun Case 
    Ruijsenaars, Simon N.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The Heun equation can be rewritten as an eigenvalue equation for an ordinary differential operator of the form −d²/dx²+V(g;x), where the potential is an elliptic function depending on a coupling vector g ∈ R⁴. Alternatively, ...
  • Hilbert Transforms Associated with Dunkl-Hermite Polynomials 
    Ben Salem, Nejib; Samaali, Taha (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We consider expansions of functions in Lp(R,|x|2kdx), 1 ≤ p < +∞ with respect to Dunkl-Hermite functions in the rank-one setting. We actually define the heat-diffusion and Poisson integrals in the one-dimensional Dunkl ...
  • Hochschild Cohomology and Deformations of Clifford-Weyl Algebras 
    Musson, I.M.; Pinczon, G.; Ushirobira, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We give a complete study of the Clifford-Weyl algebra C(n,2k) from Bose-Fermi statistics, including Hochschild cohomology (with coefficients in itself). We show that C(n,2k) is rigid when n is even or when k ≠ 1. We find ...
  • Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds 
    Hall, G.S.; Lonie, D.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    A study is made of 4-dimensional Lorentz manifolds which are projectively related, that is, whose Levi-Civita connections give rise to the same (unparameterised) geodesics. A brief review of some relevant recent work is ...
  • Homological Algebra and Divergent Series 
    Gorbounov, V.; Schechtman, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We study some features of infinite resolutions of Koszul algebras motivated by the developments in the string theory initiated by Berkovits.
  • Hypergeometric τ-Functions of the q-Painlevé System of Type E₇⁽¹⁾ 
    Masuda, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We present the τ-functions for the hypergeometric solutions to the q-Painlevé system of type E₇⁽¹⁾ in a determinant formula whose entries are given by the basic hypergeometric function ₈W₇. By using the W(D₅) symmetry of ...
  • Image Sampling with Quasicrystals 
    Grundland, M.; Patera, J.; Masáková, Z.; Dodgson, N.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We investigate the use of quasicrystals in image sampling. Quasicrystals produce space-filling, non-periodic point sets that are uniformly discrete and relatively dense, thereby ensuring the sample sites are evenly spread ...
  • Imaginary Powers of the Dunkl Harmonic Oscillator 
    Nowak, A.; Stempak, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In this paper we continue the study of spectral properties of the Dunkl harmonic oscillator in the context of a finite reflection group on Rd isomorphic to Z₂d. We prove that imaginary powers of this operator are bounded ...
  • Indefinite Affine Hyperspheres Admitting a Pointwise Symmetry. Part 2 
    Scharlach, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    An affine hypersurface M is said to admit a pointwise symmetry, if there exists a subgroup G of Aut(TpM) for all p ∈ M, which preserves (pointwise) the affine metric h, the difference tensor K and the affine shape operator ...
  • Induced Modules for Affine Lie Algebras 
    Futorny, V.; Kashuba, I. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We study induced modules of nonzero central charge with arbitrary multiplicities over affine Lie algebras. For a given pseudo parabolic subalgebra P of an affine Lie algebra G, our main result establishes the equivalence ...
  • Intertwining Symmetry Algebras of Quantum Superintegrable Systems 
    Calzada, J.A.; Negro, J.; del Olmo, M.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We present an algebraic study of a kind of quantum systems belonging to a family of superintegrable Hamiltonian systems in terms of shape-invariant intertwinig operators, that span pairs of Lie algebras like (su(n),so(2n)) ...
  • Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians 
    Guseinov, G.Sh. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In this paper, the concept of generalized spectral function is introduced for finite-order tridiagonal symmetric matrices (Jacobi matrices) with complex entries. The structure of the generalized spectral function is described ...
  • Inversion Formulas for the Spherical Radon-Dunkl Transform 
    Li, Zhongkai; Song, Futao (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The spherical Radon-Dunkl transform Rκ, associated to weight functions invariant under a finite reflection group, is introduced, and some elementary properties are obtained in terms of h-harmonics. Several inversion formulas ...

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