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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5 за датою випуску

Сортувати за: Порядок: Результатів:

  • Remarks on Multi-Dimensional Conformal Mechanics 
    Burdík, C.; Nersessian, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Recently, Galajinsky, Lechtenfeld and Polovnikov proposed an elegant group-theoretical transformation of the generic conformal-invariant mechanics to the free one. Considering the classical counterpart of this transformation, ...
  • Besov-Type Spaces on Rd and Integrability for the Dunkl Transform 
    Abdelkefi, C.; Sassi, F.; Sifi, M.; Anker, Jean-Philippe (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In this paper, we show the inclusion and the density of the Schwartz space in Besov-Dunkl spaces and we prove an interpolation formula for these spaces by the real method. We give another characterization for these spaces ...
  • Multisymplectic Lagrangian and Hamiltonian Formalisms of Classical Field Theories 
    Román-Roy, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    This review paper is devoted to presenting the standard multisymplectic formulation for describing geometrically classical field theories, both the regular and singular cases. First, the main features of the Lagrangian ...
  • Auxiliary Linear Problem, Difference Fay Identities and Dispersionless Limit of Pfaff-Toda Hierarchy 
    Takasaki, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Recently the study of Fay-type identities revealed some new features of the DKP hierarchy (also known as ''the coupled KP hierarchy'' and ''the Pfaff lattice''). Those results are now extended to a Toda version of the DKP ...
  • Wigner Quantization of Hamiltonians Describing Harmonic Oscillators Coupled by a General Interaction Matri 
    Regniers, G.; Van der Jeugt, Joris (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In a system of coupled harmonic oscillators, the interaction can be represented by a real, symmetric and positive definite interaction matrix. The quantization of a Hamiltonian describing such a system has been done in the ...
  • Singularity Classes of Special 2-Flags 
    Mormul, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In the paper we discuss certain classes of vector distributions in the tangent bundles to manifolds, obtained by series of applications of the so-called generalized Cartan prolongations (gCp). The classical Cartan prolongations ...
  • Contact Geometry of Curves 
    Vassiliou, P.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Cartan's method of moving frames is briefly recalled in the context of immersed curves in the homogeneous space of a Lie group G. The contact geometry of curves in low dimensional equi-affine geometry is then made explicit. ...
  • Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications 
    Komori, Y.; Noumi, M.; Shiraishi, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    A unified approach is given to kernel functions which intertwine Ruijsenaars difference operators of type A and of type BC. As an application of the trigonometric cases, new explicit formulas for Koornwinder polynomials ...
  • Cartan Connections and Lie Algebroids 
    Crampin, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    This paper is a study of the relationship between two constructions associated with Cartan geometries, both of which involve Lie algebroids: the Cartan algebroid, due to [Blaom A.D., Trans. Amer. Math. Soc. 358 (2006), ...
  • Indefinite Affine Hyperspheres Admitting a Pointwise Symmetry. Part 2 
    Scharlach, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    An affine hypersurface M is said to admit a pointwise symmetry, if there exists a subgroup G of Aut(TpM) for all p ∈ M, which preserves (pointwise) the affine metric h, the difference tensor K and the affine shape operator ...
  • Algebraic Topology Foundations of Supersymmetry and Symmetry Breaking in Quantum Field Theory and Quantum Gravity: A Review 
    Baianu, I.C.; Glazebrook, J.G.; Brown, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    A novel algebraic topology approach to supersymmetry (SUSY) and symmetry breaking in quantum field and quantum gravity theories is presented with a view to developing a wide range of physical applications. These include: ...
  • Natural Intrinsic Geometrical Symmetries 
    Haesen, S.; Verstraelen, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    A proposal is made for what could well be the most natural symmetrical Riemannian spaces which are homogeneous but not isotropic, i.e. of what could well be the most natural class of symmetrical spaces beyond the spaces ...
  • T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac-Moody Algebras 
    Kuniba, A.; Nakanishi, T.; Suzuki, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The T-systems and Y-systems are classes of algebraic relations originally associated with quantum affine algebras and Yangians. Recently the T-systems were generalized to quantum affinizations of a wide class of quantum ...
  • Geometry of Control-Affine Systems 
    Clelland, J.N.; Moseley, C.G.; Wilkens, G.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Motivated by control-affine systems in optimal control theory, we introduce the notion of a point-affine distribution on a manifold X – i.e., an affine distribution F together with a distinguished vector field contained ...
  • Geometric Structures on Spaces of Weighted Submanifolds 
    Lee, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In this paper we use a diffeo-geometric framework based on manifolds that are locally modeled on ''convenient'' vector spaces to study the geometry of some infinite dimensional spaces. Given a finite dimensional symplectic ...
  • Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty 
    Jana, T.K.; Roy, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We study non-Hermitian quantum mechanics in the presence of a minimal length. In particular we obtain exact solutions of a non-Hermitian displaced harmonic oscillator and the Swanson model with minimal length uncertainty. ...
  • Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras 
    Accardi, L.; Boukas, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The present paper reviews some intriguing connections which link together a new renormalization technique, the theory of *-representations of infinite dimensional *-Lie algebras, quantum probability, white noise and ...
  • Solvable Rational Potentials and Exceptional Orthogonal Polynomials in Supersymmetric Quantum Mechanics 
    Quesne, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    New exactly solvable rationally-extended radial oscillator and Scarf I potentials are generated by using a constructive supersymmetric quantum mechanical method based on a reparametrization of the corresponding conventional ...
  • Compact Riemannian Manifolds with Homogeneous Geodesics 
    Alekseevsky, D.V.; Nikonorov, Y.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    A homogeneous Riemannian space (M = G/H,g) is called a geodesic orbit space (shortly, GO-space) if any geodesic is an orbit of one-parameter subgroup of the isometry group G. We study the structure of compact GO-spaces and ...
  • Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians 
    Guseinov, G.Sh. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In this paper, the concept of generalized spectral function is introduced for finite-order tridiagonal symmetric matrices (Jacobi matrices) with complex entries. The structure of the generalized spectral function is described ...

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