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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7 за датою випуску

Сортувати за: Порядок: Результатів:

  • A Lorentz-Covariant Connection for Canonical Gravity 
    Geiller, M.; Lachièze-Rey, M.; Noui, K.; Sardelli, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We construct a Lorentz-covariant connection in the context of first order canonical gravity with non-vanishing Barbero-Immirzi parameter. To do so, we start with the phase space formulation derived from the canonical ...
  • Para-Grassmannian Coherent and Squeezed States for Pseudo-Hermitian q-Oscillator and their Entanglement 
    Maleki, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this paper, q-deformed oscillator for pseudo-Hermitian systems is investigated and pseudo-Hermitian appropriate coherent and squeezed states are studied. Also, some basic properties of these states is surveyed. The ...
  • On the Projective Algebra of Randers Metrics of Constant Flag Curvature 
    Rafie-Rad, M.; Rezaei, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The collection of all projective vector fields on a Finsler space (M,F) is a finite-dimensional Lie algebra with respect to the usual Lie bracket, called the projective algebra denoted by p(M,F) and is the Lie algebra of ...
  • On Darboux's Approach to R-Separability of Variables 
    Sym, A.; Szereszewski, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We discuss the problem of R-separability (separability of variables with a factor R) in the stationary Schrödinger equation on n-dimensional Riemann space. We follow the approach of Gaston Darboux who was the first to give ...
  • The Fourier Transform on Quantum Euclidean Space 
    Coulembier, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We study Fourier theory on quantum Euclidean space. A modified version of the general definition of the Fourier transform on a quantum space is used and its inverse is constructed. The Fourier transforms can be defined by ...
  • Two-Variable Wilson Polynomials and the Generic Superintegrable System on the 3-Sphere 
    Kalnins, E.G.; Miller Jr., W.; Post, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We show that the symmetry operators for the quantum superintegrable system on the 3-sphere with generic 4-parameter potential form a closed quadratic algebra with 6 linearly independent generators that closes at order 6 ...
  • The Role of Symmetry and Separation in Surface Evolution and Curve Shortening 
    Broadbridge, P.; Vassiliou, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    With few exceptions, known explicit solutions of the curve shortening flow (CSE) of a plane curve, can be constructed by classical Lie point symmetry reductions or by functional separation of variables. One of the functionally ...
  • Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on S²×S³ 
    Boyer, C.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    I begin by giving a general discussion of completely integrable Hamiltonian systems in the setting of contact geometry. We then pass to the particular case of toric contact structures on the manifold S²×S³. In particular ...
  • The BGG Complex on Projective Space 
    Eastwood, M.G.; Gover, A.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We give a complete construction of the Bernstein-Gelfand-Gelfand complex on real or complex projective space using minimal ingredients.
  • The BGG Complex on Projective Space 
    Eastwood, M.G.; Gover, A.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We give a complete construction of the Bernstein-Gelfand-Gelfand complex on real or complex projective space using minimal ingredients.
  • Exact Solutions of Nonlinear Partial Differential Equations by the Method of Group Foliation Reduction 
    Anco, S.C.; Ali, S.; Wolf, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A novel symmetry method for finding exact solutions to nonlinear PDEs is illustrated by applying it to a semilinear reaction-diffusion equation in multi-dimensions. The method uses a separation ansatz to solve an equivalent ...
  • Spherical Fourier Transforms on Locally Compact Quantum Gelfand Pairs 
    Caspers, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We study Gelfand pairs for locally compact quantum groups. We give an operator algebraic interpretation and show that the quantum Plancherel transformation restricts to a spherical Plancherel transformation. As an example, ...
  • 1+1 Gaudin Model 
    Zotov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We study 1+1 field-generalizations of the rational and elliptic Gaudin models. For sl(N) case we introduce equations of motion and L-A pair with spectral parameter on the Riemann sphere and elliptic curve. In sl(2) case ...
  • An Isomonodromy Interpretation of the Hypergeometric Solution of the Elliptic Painlevé Equation (and Generalizations) 
    Rains, E.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We construct a family of second-order linear difference equations parametrized by the hypergeometric solution of the elliptic Painlevé equation (or higher-order analogues), and admitting a large family of monodromy-preserving ...
  • Holomorphic Parabolic Geometries and Calabi-Yau Manifolds 
    McKay, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We prove that the only complex parabolic geometries on Calabi-Yau manifolds are the homogeneous geometries on complex tori. We also classify the complex parabolic geometries on homogeneous compact Kähler manifolds.
  • From Quantum AN (Calogero) to H₄ (Rational) Model 
    Turbiner, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A brief and incomplete review of known integrable and (quasi)-exactly-solvable quantum models with rational (meromorphic in Cartesian coordinates) potentials is given. All of them are characterized by (i) a discrete symmetry ...
  • A Class of Special Solutions for the Ultradiscrete Painlevé II Equation 
    Isojima, Sh.; Satsuma, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A class of special solutions are constructed in an intuitive way for the ultradiscrete analog of q-Painlevé II (q-PII) equation. The solutions are classified into four groups depending on the function-type and the system ...
  • An Introduction to the q-Laguerre-Hahn Orthogonal q-Polynomials 
    Ghressi, A.; Khériji, L.; Tounsi, M.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Orthogonal q-polynomials associated with q-Laguerre-Hahn form will be studied as a generalization of the q-semiclassical forms via a suitable q-difference equation. The concept of class and a criterion to determinate it ...
  • Quantum Analogs of Tensor Product Representations of su(1,1) 
    Groenevelt, W. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We study representations of Uq(su(1,1)) that can be considered as quantum analogs of tensor products of irreducible *-representations of the Lie algebra su(1,1). We determine the decomposition of these representations into ...
  • Harmonic Analysis on Quantum Complex Hyperbolic Spaces 
    Bershtein, O.; Kolisnyk, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this paper we obtain some results of harmonic analysis on quantum complex hyperbolic spaces. We introduce a quantum analog for the Laplace-Beltrami operator and its radial part. The latter appear to be second order ...

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