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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • 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 ...
  • Vinet, L.; Zhedanov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We establish an analogue of the Bochner theorem for first order operators of Dunkl type, that is we classify all such operators having polynomial solutions. Under natural conditions it is seen that the only families of ...
  • 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 ...
  • Hay, M.C. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We expand the completeness study instigated in [J. Math. Phys. 50 (2009), 103516, 29 pages] which found all 2×2 Lax pairs with non-zero, separable terms in each entry of each Lax matrix, along with the most general nonlinear ...
  • Morita, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We show a connection formula of the Hahn-Exton q-Bessel function around the origin and the infinity. We introduce the q-Borel transformation and the q-Laplace transformation following C. Zhang to obtain the connection ...
  • Tanoudis, Y.; Daskaloyannis, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In the three-dimensional flat space, a classical Hamiltonian, which has five functionally independent integrals of motion, including the Hamiltonian, is characterized as superintegrable. Kalnins, Kress and Miller (J. Math. ...
  • 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 ...
  • Stoilova, N.I.; Van der Jeugt, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We study a linear spin chain which was originally introduced by Shi et al. [Phys. Rev. A 71 (2005), 032309, 5 pages], for which the coupling strength contains a parameter α and depends on the parity of the chain site. ...
  • 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 ...
  • 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 ...
  • Torre, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The interpretation of the optical Appell transformation, as previously elaborated in relation to the free-space paraxial propagation under both a rectangular and a circular cylindrical symmetry, is reviewed. Then, the ...
  • Kalnins, E.G.; Kress, J.M.; Miller Jr., W. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We develop our method to prove quantum superintegrability of an integrable 2D system, based on recurrence relations obeyed by the eigenfunctions of the system with respect to separable coordinates. We show that the method ...
  • Ruijsenaars, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In previous work we introduced and studied a function R(a+,a−,c;v,v^) that is a generalization of the hypergeometric function ₂F₁ and the Askey-Wilson polynomials. When the coupling vector c∈C⁴ is specialized to (b,0,0,0), ...
  • Grünbaum, F.A.; Rahman, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The one variable Krawtchouk polynomials, a special case of the ₂F₁ function did appear in the spectral representation of the transition kernel for a Markov chain studied a long time ago by M. Hoare and M. Rahman. A ...
  • Quano, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A vertex operator approach for form factors of Belavin's (Z/nZ)-symmetric model is constructed on the basis of bosonization of vertex operators in the An−1⁽¹⁾ model and vertex-face transformation. As simple application for ...
  • Ragnisco, O.; Zullo, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We construct Bäcklund transformations (BTs) for the Kirchhoff top by taking advantage of the common algebraic Poisson structure between this system and the sl(2) trigonometric Gaudin model. Our BTs are integrable maps ...
  • Preston, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this work we show that the systems of balance equations (balance systems) of continuum thermodynamics occupy a natural place in the variational bicomplex formalism. We apply the vertical homotopy decomposition to get a ...
  • Fujii, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this paper we present a non-Gaussian integral based on a cubic polynomial, instead of a quadratic, and give a fundamental formula in terms of its discriminant. It gives a mathematical reinforcement to the recent result ...
  • Leija-Martinez, N.; Alvarez-Castillo, D.E.; Kirchbach, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The peculiarity of the Eckart potential problem on H₊² (the upper sheet of the two-sheeted two-dimensional hyperboloid), to preserve the (2l+1)-fold degeneracy of the states typical for the geodesic motion there, is usually ...
  • Kashaev, R.M.; Nakanishi, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Using the quantum cluster algebra formalism of Fock and Goncharov, we present several forms of quantum dilogarithm identities associated with periodicities in quantum cluster algebras, namely, the tropical, universal, and ...

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