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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:

  • 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.
  • Charges in Gauge Theories 
    McMullan, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Recent progress in the construction of both electric, coloured and magnetic charges in gauge theories will be presented. The topological properties of the charged sectors will be highlighted as well as the applications of ...
  • Clifford Algebra Derivations of Tau-Functions for Two-Dimensional Integrable Models with Positive and Negative Flows 
    Aratyn, H.; van de Leur, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We use a Grassmannian framework to define multi-component tau functions as expectation values of certain multi-component Fermi operators satisfying simple bilinear commutation relations on Clifford algebra. The tau functions ...
  • Clifford Algebras and Possible Kinematics 
    McRae, A.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We review Bacry and Lévy-Leblond's work on possible kinematics as applied to 2-dimensional spacetimes, as well as the nine types of 2-dimensional Cayley-Klein geometries, illustrating how the Cayley-Klein geometries give ...
  • Completely Integrable Systems Associated with Classical Root Systems 
    Oshima, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We study integrals of completely integrable quantum systems associated with classical root systems. We review integrals of the systems invariant under the corresponding Weyl group and as their limits we construct enough ...
  • Complex Projection of Quasianti-Hermitian Quaternionic Hamiltonian Dynamics 
    Scolarici, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We characterize the subclass of quasianti-Hermitian quaternionic Hamiltonian dynamics such that their complex projections are one-parameter semigroup dynamics in the space of complex quasi-Hermitian density matrices. As ...
  • Conformal Dirichlet-Neumann Maps and Poincaré-Einstein Manifolds 
    Gover, A.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    A conformal description of Poincaré-Einstein manifolds is developed: these structures are seen to be a special case of a natural weakening of the Einstein condition termed an almost Einstein structure. This is used for two ...
  • Conformal Metrics with Constant Q-Curvature 
    Malchiodi, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We consider the problem of varying conformally the metric of a four dimensional manifold in order to obtain constant Q-curvature. The problem is variational, and solutions are in general found as critical points of saddle ...
  • Conformal Powers of the Laplacian via Stereographic Projection 
    Graham, C.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    A new derivation is given of Branson's factorization formula for the conformally invariant operator on the sphere whose principal part is the k-th power of the scalar Laplacian. The derivation deduces Branson's formula ...
  • Construction of the Bethe State for the Eτ,η(so₃) Elliptic Quantum Group 
    Manojlović, N.; Nagy, Z. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Elliptic quantum groups can be associated to solutions of the star-triangle relation of statistical mechanics. In this paper, we consider the particular case of the Eτ,η(so₃) elliptic quantum group. In the context of ...
  • Continuous and Discrete (Classical) Heisenberg Spin Chain Revised 
    Ragnisco, O.; Zullo, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Most of the work done in the past on the integrability structure of the Classical Heisenberg Spin Chain (CHSC) has been devoted to studying the su(2) case, both at the continuous and at the discrete level. In this paper ...
  • Curved Casimir Operators and the BGG Machinery 
    Cap, A.; Soucek, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We prove that the Casimir operator acting on sections of a homogeneous vector bundle over a generalized flag manifold naturally extends to an invariant differential operator on arbitrary parabolic geometries. We study some ...
  • Deformation Quantization in White Noise Analysis 
    Léandre, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We define and present an example of a deformation quantization product on a Hida space of test functions endowed with a Wick product.
  • Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels 
    Gavrilik, A.M.; Rebesh, A.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    A scheme is proposed which allows to obtain special q-oscillator models whose characteristic feature consists in possessing two differing pairs of degenerate energy levels. The method uses the model of two-parameter deformed ...

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