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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:

  • 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 ...
  • Degenerate Series Representations of the q-Deformed Algebra so'q(r,s) 
    Groza, V.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The q-deformed algebra so'q(r,s) is a real form of the q-deformed algebra Uq'(so(n,C)), n = r + s, which differs from the quantum algebra Uq(so(n,C)) of Drinfeld and Jimbo. We study representations of the most degenerate ...
  • Density of Eigenvalues of Random Normal Matrices with an Arbitrary Potential, and of Generalized Normal Matrices 
    Etingof, P.; Ma, X. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Following the works by Wiegmann-Zabrodin, Elbau-Felder, Hedenmalm-Makarov, and others, we consider the normal matrix model with an arbitrary potential function, and explain how the problem of finding the support domain for ...
  • Differential Invariants of Conformal and Projective Surfaces 
    Hubert, E.; Olver, P.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We show that, for both the conformal and projective groups, all the differential invariants of a generic surface in three-dimensional space can be written as combinations of the invariant derivatives of a single differential ...
  • Dimensional Reduction of Conformal Tensors and Einstein-Weyl Spaces 
    Jackiw, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Conformal Weyl and Cotton tensors are dimensionally reduced by a Kaluza-Klein procedure. Explicit formulas are given for reducing from four and three dimensions to three and two dimensions, respectively. When the higher ...
  • Do All Integrable Evolution Equations Have the Painlevé Property? 
    Tamizhmani, K.M.; Grammaticos, B.; Ramani, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We examine whether the Painlevé property is necessary for the integrability of partial differential equations (PDEs). We show that in analogy to what happens in the case of ordinary differential equations (ODEs) there ...
  • Eigenfunction Expansions of Functions Describing Systems with Symmetries 
    Kachuryk, I.; Klimyk, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Physical systems with symmetries are described by functions containing kinematical and dynamical parts. We consider the case when kinematical symmetries are described by a noncompact semisimple real Lie group G. Then ...
  • Eigenvalues of Killing Tensors and Separable Webs on Riemannian and Pseudo-Riemannian Manifolds 
    Chanu, C.; Rastelli, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Given a n-dimensional Riemannian manifold of arbitrary signature, we illustrate an algebraic method for constructing the coordinate webs separating the geodesic Hamilton-Jacobi equation by means of the eigenvalues of m ≤ ...

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