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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • 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 ...
  • Para-Grassmann variables and coherent states 
    Cabra, D.C.; Moreno, E.F.; Tanasă, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The definitions of para-Grassmann variables and q-oscillator algebras are recalled. Some new properties are given. We then introduce appropriate coherent states as well as their dual states. This allows us to obtain a ...
  • Perturbative Treatment of the Evolution Operator Associated with Raman Couplings 
    Militello, B.; Aniello, P.; Messina, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    A novel perturbative treatment of the time evolution operator of a quantum system is applied to the model describing a Raman-driven trapped ion in order to obtain a suitable 'effective model'. It is shown that the associated ...
  • Prolongation Loop Algebras for a Solitonic System of Equations 
    Agrotis, M.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We consider an integrable system of reduced Maxwell-Bloch equations that describes the evolution of an electromagnetic field in a two-level medium that is inhomogeneously broadened. We prove that the relevant Bäcklund ...
  • q-Deformed Bi-Local Fields II 
    Toyoda, H.; Naka, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We study a way of q-deformation of the bi-local system, the two particle system bounded by a relativistic harmonic oscillator type of potential, from both points of view of mass spectra and the behavior of scattering ...
  • q-Deformed KP Hierarchy and q-Deformed Constrained KP Hierarchy 
    He, Jingsong; Li, Yinghua; Cheng, Yi (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    Using the determinant representation of gauge transformation operator, we have shown that the general form of τ function of the q-KP hierarchy is a q-deformed generalized Wronskian, which includes the q-deformed Wronskian ...
  • 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 ...
  • 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 ...
  • Quantum gravity as a broken symmetry phase of a BF theory 
    Miković, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We explain how General Relativity with a cosmological constant arises as a broken symmetry phase of a BF theory. In particular we show how to treat de Sitter and anti-de Sitter cases simultaneously. This is then used to ...
  • 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 ...
  • Quasi-Exactly Solvable N-Body Spin Hamiltonians with Short-Range Interaction Potentials 
    Enciso, A.; Finkel, F.; González-López, A.; Rodríguez, M.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We review some recent results on quasi-exactly solvable spin models presenting near-neighbors interactions. These systems can be understood as cyclic generalizations of the usual Calogero-Sutherland models. A nontrivial ...
  • Quasigraded Lie Algebras and Modified Toda Field Equations 
    Skrypnyk, T.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We construct a family of quasigraded Lie algebras that coincide with the deformations of the loop algebras in "principal" gradation and admit Kostant-Adler-Symes scheme. Using them we obtain new Volterra coupled systems ...
  • Real Hamiltonian Forms of Affine Toda Models Related to Exceptional Lie Algebras 
    Gerdjikov, V.S.; Grahovski, G.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The construction of a family of real Hamiltonian forms (RHF) for the special class of affine 1+1-dimensional Toda field theories (ATFT) is reported. Thus the method, proposed in [1] for systems with finite number of degrees ...
  • Regular and Chaotic Regimes in Scalar Field Cosmology 
    Toporensky, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    A transient chaos in a closed FRW cosmological model with a scalar field is studied. We describe two different chaotic regimes and show that the type of chaos in this model depends on the scalar field potential. We have ...
  • Restricted flows and the soliton equation with self-consistent sources 
    Runliang Lin; Haishen Yao; Yunbo Zeng (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The KdV equation is used as an example to illustrate the relation between the restricted flows and the soliton equation with self-consistent sources. Inspired by the results on the Bäcklund transformation for the restricted ...
  • R-matrix and Baxter Q-operators for the noncompact SL(N,C) invariant spin chain 
    Derkachov, S.É.; Manashov, A.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The problem of constructing the SL(N,C) invariant solutions to the Yang-Baxter equation is considered. The solutions (R-operators) for arbitrarily principal series representations of SL(N,C) are obtained in an explicit ...
  • Scale-Dependent Functions, Stochastic Quantization and Renormalization 
    Altaisky, M.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We consider a possibility to unify the methods of regularization, such as the renormalization group method, stochastic quantization etc., by the extension of the standard field theory of the square-integrable functions ...
  • 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 ...
  • Status Report on the Instanton Counting 
    Shadchin, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The non-perturbative behavior of the N = 2 supersymmetric Yang-Mills theories is both highly non-trivial and tractable. In the last three years the valuable progress was achieved in the instanton counting, the direct ...
  • Superintegrability on Three-Dimensional Riemannian and Relativistic Spaces of Constant Curvature 
    Herranz, F.J.; Ballesteros, Á (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    A family of classical superintegrable Hamiltonians, depending on an arbitrary radial function, which are defined on the 3D spherical, Euclidean and hyperbolic spaces as well as on the (2+1)D anti-de Sitter, Minkowskian and ...

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