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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3, випуск за цей рік за назвою

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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • 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 ≤ ...
  • 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.

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