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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2 за датою випуску

Сортувати за: Порядок: Результатів:

  • Einstein-Riemann gravity on deformed spaces 
    Wess, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    A differential calculus, differential geometry and the E-R Gravity theory are studied on noncommutative spaces. Noncommutativity is formulated in the star product formalism. The basis for the gravity theory is the infinitesimal ...
  • Solvable nonlinear evolution PDEs in multidimensional space 
    Calogero, F.; Sommacal, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    A class of solvable (systems of) nonlinear evolution PDEs in multidimensional space is discussed. We focus on a rotation-invariant system of PDEs of Schrödinger type and on a relativistically-invariant system of PDEs of ...
  • Fermion on curved spaces, symmetries, and quantum anomalies 
    Visinescu, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We review the geodesic motion of pseudo-classical spinning particles in curved spaces. Investigating the generalized Killing equations for spinning spaces, we express the constants of motion in terms of Killing-Yano tensors. ...
  • The form factor program: a review and new results − the nested SU(N) off-shell Bethe ansatz 
    Babujian, H.M.; Foerster, A.; Karowski, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The purpose of the ''bootstrap program'' for integrable quantum field theories in 1+1 dimensions is to construct explicitly a model in terms of its Wightman functions. In this article, this program is mainly illustrated ...
  • Quantum field theory in a non-commutative space: theoretical predictions and numerical results on the fuzzy sphere 
    Panero, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We review some recent progress in quantum field theory in non-commutative space, focusing onto the fuzzy sphere as a non-perturbative regularisation scheme. We first introduce the basic formalism, and discuss the limits ...
  • A formula for the logarithm of the KZ associator 
    Enriquez, B.; Gavarini, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We prove that the logarithm of a group-like element in a free algebra coincides with its image by a certain linear map. We use this result and the formula of Le and Murakami for the Knizhnik-Zamolodchikov (KZ) associator ...
  • u-Deformed WZW model and its gauging 
    Klimčík, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We review the description of a particular deformation of the WZW model. The resulting theory exhibits a Poisson-Lie symmetry with a non-Abelian cosymmetry group and can be vectorially gauged.
  • Integrable hierarchy of higher nonlinear Schrödinger type equations 
    Kundu, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    Addition of higher nonlinear terms to the well known integrable nonlinear Schrödinger (NLS) equations, keeping the same linear dispersion (LD) usually makes the system nonintegrable. We present a systematic method through ...
  • The torsion of spinor connections and related structure 
    Klinker, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    In this text we introduce the torsion of spinor connections. In terms of the torsion we give conditions on a spinor connection to produce Killing vector fields. We relate the Bianchi type identities for the torsion of ...
  • Orthogonality within the families of C-, S-, and E-functions of any compact semisimple Lie group 
    Moody, R.V.; Patera, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The paper is about methods of discrete Fourier analysis in the context of Weyl group symmetry. Three families of class functions are defined on the maximal torus of each compact simply connected semisimple Lie group G. ...
  • On a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa-Holm Equation 
    Aratyn, H.; Gomes, J.F.; Zimerman, A.H. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    Different gauge copies of the Ablowitz-Kaup-Newell-Segur (AKNS) model labeled by an angle θ are constructed and then reduced to the two-component Camassa-Holm model. Only three different independent classes of reductions ...
  • Integrable Models of Interaction of Matter with Radiation 
    Inozemtsev, V.I.; Inozemtseva, N.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The simplified models of interaction of charged matter with resonance modes of radiation generalizing the well-known Jaynes-Cummings and Dicke models are considered. It is found that these new models are integrable for ...
  • Painlevé Analysis and Similarity Reductions for the Magma Equation 
    Harris, S.E.; Clarkson, P.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    In this paper, we examine a generalized magma equation for rational values of two parameters, m and n. Firstly, the similarity reductions are found using the Lie group method of infinitesimal transformations. The Painlevé ...
  • The Relation Between the Associate Almost Complex Structure to HM' and (HM',S,T)-Cartan Connections 
    Esrafilian, E.; Salimi Moghaddam, R.H. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    In the present paper, the (HM',S,T)-Cartan connections on pseudo-Finsler manifolds, introduced by A. Bejancu and H.R. Farran, are obtained by the natural almost complex structure arising from the nonlinear connection HM'. ...
  • Quantum Entanglement and Projective Ring Geometry 
    Planat, M.; Saniga, M.; Kibler, M.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The paper explores the basic geometrical properties of the observables characterizing two-qubit systems by employing a novel projective ring geometric approach. After introducing the basic facts about quantum complementarity ...
  • On the Linearization of Second-Order Differential and Difference Equations 
    Dorodnitsyn, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    This article complements recent results of the papers [J. Math. Phys. 41 (2000), 480; 45 (2004), 336] on the symmetry classification of second-order ordinary difference equations and meshes, as well as the Lagrangian ...
  • On a 'Mysterious' Case of a Quadratic Hamiltonian 
    Sakovich, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We show that one of the five cases of a quadratic Hamiltonian, which were recently selected by Sokolov and Wolf who used the Kovalevskaya-Lyapunov test, fails to pass the Painlevé test for integrability.
  • The Painlevé Test and Reducibility to the Canonical Forms for Higher-Dimensional Soliton Equations with Variable-Coefficients 
    Kobayashi, T.; Toda, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The general KdV equation (gKdV) derived by T. Chou is one of the famous (1 + 1) dimensional soliton equations with variable coefficients. It is well-known that the gKdV equation is integrable. In this paper a higher-dimensional ...
  • Quantum Potential and Symmetries in Extended Phase Space 
    Nasiri, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The behavior of the quantum potential is studied for a particle in a linear and a harmonic potential by means of an extended phase space technique. This is done by obtaining an expression for the quantum potential in ...
  • Invariant varieties of periodic points for the discrete Euler top 
    Saito, S.; Saitoh, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The behaviour of periodic points of discrete Euler top is studied. We derive invariant varieties of periodic points explicitly. When the top is axially symmetric they are specified by some particular values of the angular ...

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