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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • 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 ...
  • 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 ...
  • Coordinate Bethe Ansatz for Spin s XXX Model 
    Crampé, N.; Ragoucy, E.; Alonzi, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We compute the eigenfunctions and eigenvalues of the periodic integrable spin s XXX model using the coordinate Bethe ansatz. To do so, we compute explicitly the Hamiltonian of the model. These results generalize what has ...
  • Correlation Function and Simplified TBA Equations for XXZ Chain 
    Takahashi, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The calculation of the correlation functions of Bethe ansatz solvable models is very difficult problem. Among these solvable models spin 1/2 XXX chain has been investigated for a long time. Even for this model only the ...
  • Covariant Approach of the Dynamics of Particles in External Gauge Fields, Killing Tensors and Quantum Gravitational Anomalies 
    Visinescu, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We give an overview of the first integrals of motion of particles in the presence of external gauge fields in a covariant Hamiltonian approach. The special role of Stäckel-Killing and Killing-Yano tensors is pointed out. ...
  • Discrete-Time Goldfishing 
    Calogero, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The original continuous-time ''goldfish'' dynamical system is characterized by two neat formulas, the first of which provides the N Newtonian equations of motion of this dynamical system, while the second provides the ...
  • Dolbeault Complex on S⁴\{·} and S⁶\{·} through Supersymmetric Glasses 
    Smilga, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    S⁴ is not a complex manifold, but it is sufficient to remove one point to make it complex. Using supersymmetry methods, we show that the Dolbeault complex (involving the holomorphic exterior derivative ∂ and its Hermitian ...
  • Dynamical Studies of Equations from the Gambier Family 
    Guha, P.; Ghose Choudhury, A.; Grammaticos, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We consider the hierarchy of higher-order Riccati equations and establish their connection with the Gambier equation. Moreover we investigate the relation of equations of the Gambier family to other nonlinear differential ...
  • Emergent Supersymmetry in Warped Backgrounds 
    Nagasawa, T.; Ohya, S.; Sakamoto, K.; Sakamoto, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We show that quantum mechanical supersymmetries are emerged in Kaluza-Klein spectrum of linearized gravity in several warped backgrounds as a consequence of higher-dimensional general coordinate invariance. These emergent ...

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