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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • A Critical Phenomenon in Solitonic Ising Chains 
    Loutsenko, I.M.; Spiridonov, V.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We discuss a phase transition of the second order taking place in non-local 1D Ising chains generated by specific infinite soliton solutions of the KdV and BKP equations.
  • A Discretization of the Nonholonomic Chaplygin Sphere Problem 
    Fedorov, Y.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The celebrated problem of a non-homogeneous sphere rolling over a horizontal plane was proved to be integrable and was reduced to quadratures by Chaplygin. Applying the formalism of variational integrators (discrete ...
  • A Journey Between Two Curves 
    Cherkis, S.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    A typical solution of an integrable system is described in terms of a holomorphic curve and a line bundle over it. The curve provides the action variables while the time evolution is a linear flow on the curve's Jacobian. ...
  • Alternative Method for Determining the Feynman Propagator of a Non-Relativistic Quantum Mechanical Problem 
    Moshinsky, M.; Sadurní, E.; del Campo, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    A direct procedure for determining the propagator associated with a quantum mechanical problem was given by the Path Integration Procedure of Feynman. The Green function, which is the Fourier Transform with respect to the ...
  • An Additive Basis for the Chow Ring of M₀,₂(Pr,2) 
    Cox, J.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We begin a study of the intersection theory of the moduli spaces of degree two stable maps from two-pointed rational curves to arbitrary-dimensional projective space. First we compute the Betti numbers of these spaces using ...
  • An Analytic Formula for the A₂ Jack Polynomials 
    Mangazeev, V.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    In this letter I shall review my joint results with Vadim Kuznetsov and Evgeny Sklyanin [Indag. Math. 14 (2003), 451-482] on separation of variables (SoV) for the An Jack polynomials. This approach originated from the work ...
  • An Explicit Formula for Symmetric Polynomials Related to the Eigenfunctions of Calogero-Sutherland Models 
    Hallnäs, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We review a recent construction of an explicit analytic series representation for symmetric polynomials which up to a groundstate factor are eigenfunctions of Calogero-Sutherland type models. We also indicate a generalisation ...
  • A Note on the Rotationally Symmetric SO(4) Euler Rigid Body 
    Falqui, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We consider an SO(4) Euler rigid body with two 'inertia momenta' coinciding. We study it from the point of view of bihamiltonian geometry. We show how to algebraically integrate it by means of the method of separation of ...
  • Antisymmetric Orbit Functions 
    Klimyk, A.; Patera, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    In the paper, properties of antisymmetric orbit functions are reviewed and further developed. Antisymmetric orbit functions on the Euclidean space En are antisymmetrized exponential functions. Antisymmetrization is fulfilled ...
  • A Recursive Scheme of First Integrals of the Geodesic Flow of a Finsler Manifold 
    Sarlet, W. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We review properties of so-called special conformal Killing tensors on a Riemannian manifold (Q,g) and the way they give rise to a Poisson-Nijenhuis structure on the tangent bundle TQ. We then address the question of ...
  • A Super-Integrable Two-Dimensional Non-Linear Oscillator with an Exactly Solvable Quantum Analog 
    Cariñena, J.F.; Rañada, M.F.; Santander, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Two super-integrable and super-separable classical systems which can be considered as deformations of the harmonic oscillator and the Smorodinsky-Winternitz in two dimensions are studied and identified with motions in ...
  • Asymmetric Twin Representation: the Transfer Matrix Symmetry 
    Doikou, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The symmetry of the Hamiltonian describing the asymmetric twin model was partially studied in earlier works, and our aim here is to generalize these results for the open transfer matrix. In this spirit we first prove, that ...
  • A 'User-Friendly' Approach to the Dynamical Equations of Non-Holonomic Systems 
    Benenti, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Two effective methods for writing the dynamical equations for non-holonomic systems are illustrated. They are based on the two types of representation of the constraints: by parametric equations or by implicit equations. ...
  • Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem 
    Sakhnovich, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    A GBDT version of the Bäcklund-Darboux transformation is constructed for a non-isospectral canonical system, which plays essential role in the theory of random matrix models. The corresponding Riemann-Hilbert problem is ...
  • Bäcklund Transformation for the BC-Type Toda Lattice 
    Kuznetsov, V.; Sklyanin, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We study an integrable case of n-particle Toda lattice: open chain with boundary terms containing 4 parameters. For this model we construct a Bäcklund transformation and prove its basic properties: canonicity, commutativity ...
  • Bethe Ansatz for the Ruijsenaars Model of BC₁-Type 
    Chalykh, O. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We consider one-dimensional elliptic Ruijsenaars model of type BC₁. It is given by a three-term difference Schrödinger operator L containing 8 coupling constants. We show that when all coupling constants are integers, L ...
  • Biorthogonal Expansion of Non-Symmetric Jack Functions 
    Sahi, S.; Zhang, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We find a biorthogonal expansion of the Cayley transform of the non-symmetric Jack functions in terms of the non-symmetric Jack polynomials, the coefficients being Meixner-Pollaczek type polynomials. This is done by computing ...
  • Boundary Liouville Theory: Hamiltonian Description and Quantization 
    Dorn, H.; Jorjadze, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The paper is devoted to the Hamiltonian treatment of classical and quantum properties of Liouville field theory on a timelike strip in 2d Minkowski space. We give a complete description of classical solutions regular in ...
  • Branson's Q-curvature in Riemannian and Spin Geometry 
    Hijazi, O.; Raulot, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    On a closed n-dimensional manifold, n ≥ 5, we compare the three basic conformally covariant operators: the Paneitz-Branson, the Yamabe and the Dirac operator (if the manifold is spin) through their first eigenvalues. On a ...
  • By Magri's Theorem, Self-Dual Gravity is Completely Integrable 
    Nutku, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    By Magri's theorem the bi-Hamiltonian structure of Plebanski's second heavenly equation proves that (anti)-self-dual gravity is a completely integrable system in four dimensions.

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