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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:

  • 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 ≤ ...
  • Elliptic Biorthogonal Polynomials Connected with Hermite's Continued Fraction 
    Vinet, L.; Zhedanov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We study a family of the Laurent biorthogonal polynomials arising from the Hermite continued fraction for a ratio of two complete elliptic integrals. Recurrence coefficients, explicit expression and the weight function for ...
  • Exact Solutions for Equations of Bose-Fermi Mixtures in One-Dimensional Optical Lattice 
    Kostov, N.A.; Gerdjikov, V.S.; Valchev, T.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We present two new families of stationary solutions for equations of Bose-Fermi mixtures with an elliptic function potential with modulus k. We also discuss particular cases when the quasiperiodic solutions become periodic ...
  • Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows 
    Borshch, M.S.; Zhdanov, V.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We use a connection between relativistic hydrodynamics and scalar field theory to generate exact analytic solutions describing non-stationary inhomogeneous flows of the perfect fluid with one-parametric equation of state ...
  • Faster than Hermitian Time Evolution 
    Bender, C.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    For any pair of quantum states, an initial state |Iñ and a final quantum state |Fñ, in a Hilbert space, there are many Hamiltonians H under which |Iñ evolves into |Fñ. Let us impose the constraint that the difference between ...
  • Finite-Temperature Form Factors: a Review 
    Doyon, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We review the concept of finite-temperature form factor that was introduced recently by the author in the context of the Majorana theory. Finite-temperature form factors can be used to obtain spectral decompositions of ...
  • From Holonomy of the Ising Model Form Factors to n-Fold Integrals and the Theory of Elliptic Curve 
    Boukraa, S.; Hassani, S.; Maillard, Jean-Marie; Zenine, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We recall the form factors f(j)N,N corresponding to the l-extension C(N,N; l) of the two-point diagonal correlation function of the Ising model on the square lattice and their associated linear differential equations which ...
  • From su(2) Gaudin Models to Integrable Tops 
    Petrera, M.; Ragnisco, O. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    In the present paper we derive two well-known integrable cases of rigid body dynamics (the Lagrange top and the Clebsch system) performing an algebraic contraction on the two-body Lax matrices governing the (classical) ...
  • Future Directions of Research in Geometry: A Summary of the Panel Discussion at the 2007 Midwest Geometry Conference 
    Peterson, L.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The 2007 Midwest Geometry Conference included a panel discussion devoted to open problems and the general direction of future research in fields related to the main themes of the conference. This paper summarizes the ...
  • Generalized Deformed Commutation Relations with Nonzero Minimal Uncertainties in Position and/or Momentum and Applications to Quantum Mechanics 
    Quesne, C.; Tkachuk, V.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Two generalizations of Kempf's quadratic canonical commutation relation in one dimension are considered. The first one is the most general quadratic commutation relation. The corresponding nonzero minimal uncertainties in ...
  • Generalized Potts-Models and their Relevance for Gauge Theories 
    Wipf, A.; Heinzl, T.; Kaestner, T.; Wozar, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We study the Polyakov loop dynamics originating from finite-temperature Yang-Mills theory. The effective actions contain center-symmetric terms involving powers of the Polyakov loop, each with its own coupling. For a ...
  • Generating Operator of XXX or Gaudin Transfer Matrices Has Quasi-Exponential Kernel 
    Mukhin, E.; Tarasov, V.; Varchenko, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We show that the difference equation Df = 0 for an M-valued function f has a basis of solutions consisting of quasi-exponentials.
  • Geometric Linearization of Ordinary Differential Equations 
    Qadir, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The linearizability of differential equations was first considered by Lie for scalar second order semi-linear ordinary differential equations. Since then there has been considerable work done on the algebraic classification ...
  • Geometry of Invariant Tori of Certain Integrable Systems with Symmetry and an Application to a Nonholonomic System 
    Fassò, F.; Giacobbe, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Bifibrations, in symplectic geometry called also dual pairs, play a relevant role in the theory of superintegrable Hamiltonian systems. We prove the existence of an analogous bifibrated geometry in dynamical systems with ...
  • Global Stability of Dynamic Systems of High Order 
    Benalili, M.; Lansari, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    This paper deals with global asymptotic stability of prolongations of flows induced by specific vector fields and their prolongations. The method used is based on various estimates of the flows.
  • Hamiltonian Structure of PI Hierarchy 
    Takasaki, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The string equation of type (2,2g+1) may be thought of as a higher order analogue of the first Painlevé equation that corresponds to the case of g = 1. For g > 1, this equation is accompanied with a finite set of commuting ...
  • Hamilton-Jacobi Theory and Moving Frames 
    MacArthur, J.D.; McLenaghan, R.G.; Smirnov, R.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The interplay between the Hamilton-Jacobi theory of orthogonal separation of variables and the theory of group actions is investigated based on concrete examples.
  • Heat Trace Asymptotics on Noncommutative Spaces 
    Vassilevich, D.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    This is a mini-review of the heat kernel expansion for generalized Laplacians on various noncommutative spaces. Applications to the spectral action principle, renormalization of noncommutative theories and anomalies are ...
  • Hidden Symmetries of Stochastic Models 
    Aneva, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    In the matrix product states approach to n species diffusion processes the stationary probability distribution is expressed as a matrix product state with respect to a quadratic algebra determined by the dynamics of the ...

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