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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:

  • A Bochner Theorem for Dunkl Polynomials 
    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 ...
  • 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 ...
  • A Completeness Study on Certain 2×2 Lax Pairs Including Zero Terms 
    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 ...
  • A Connection Formula of the Hahn-Exton q-Bessel Function 
    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 ...
  • Algebraic Calculation of the Energy Eigenvalues for the Nondegenerate Three-Dimensional Kepler-Coulomb Potential 
    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. ...
  • 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 ...
  • An Exactly Solvable Spin Chain Related to Hahn Polynomials 
    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. ...
  • 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 ...
  • 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 ...
  • Appell Transformation and Canonical Transforms 
    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 ...
  • A Recurrence Relation Approach to Higher Order Quantum Superintegrability 
    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 ...
  • A Relativistic Conical Function and its Whittaker Limits 
    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), ...
  • A System of Multivariable Krawtchouk Polynomials and a Probabilistic Application 
    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 ...
  • A Vertex Operator Approach for Form Factors of Belavin's (Z/nZ)-Symmetric Model and Its Application 
    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 ...
  • Bäcklund Transformations for the Kirchhoff Top 
    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 ...
  • Balance Systems and the Variational Bicomplex 
    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 ...
  • Beyond the Gaussian 
    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 ...
  • Breaking Pseudo-Rotational Symmetry through H₊² Metric Deformation in the Eckart Potential Problem 
    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 ...
  • Classical and Quantum Dilogarithm Identities 
    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 ...
  • Classical and Quantum Dynamics on Orbifolds 
    Kordyukov, Y.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We present two versions of the Egorov theorem for orbifolds. The first one is a straightforward extension of the classical theorem for smooth manifolds. The second one considers an orbifold as a singular manifold, the orbit ...

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