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

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

Сортувати за: Порядок: Результатів:

  • The Explicit Construction of Einstein Finsler Metrics with Non-Constant Flag Curvature 
    Guo, E.; Mo, X.; Zhang, X. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    By using the Hawking Taub-NUT metric, this note gives an explicit construction of a 3-parameter family of Einstein Finsler metrics of non-constant flag curvature in terms of navigation representation.
  • Quantum Symmetries for Exceptional SU(4) Modular Invariants Associated with Conformal Embeddings 
    Coquereaux, R.; Schieber, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Three exceptional modular invariants of SU(4) exist at levels 4, 6 and 8. They can be obtained from appropriate conformal embeddings and the corresponding graphs have self-fusion. From these embeddings, or from their ...
  • The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries 
    de la Madrid, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We review the way to analytically continue the Lippmann-Schwinger bras and kets into the complex plane. We will see that a naive analytic continuation leads to nonsensical results in resonance theory, and we will explain ...
  • A Lax Formalism for the Elliptic Difference Painlevé Equation 
    Yamada, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    A Lax formalism for the elliptic Painlevé equation is presented. The construction is based on the geometry of the curves on P¹ × P¹ and described in terms of the point configurations.
  • A First Order q-Difference System for the BC₁-Type Jackson Integral and Its Applications 
    Ito, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We present an explicit expression for the q-difference system, which the BC1-type Jackson integral (q-series) satisfies, as first order simultaneous q-difference equations with a concrete basis. As an application, we give ...
  • Middle Convolution and Heun's Equation 
    Takemura, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Heun's equation naturally appears as special cases of Fuchsian system of differential equations of rank two with four singularities by introducing the space of initial conditions of the sixth Painlevé equation. Middle ...
  • Intertwining Symmetry Algebras of Quantum Superintegrable Systems 
    Calzada, J.A.; Negro, J.; del Olmo, M.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We present an algebraic study of a kind of quantum systems belonging to a family of superintegrable Hamiltonian systems in terms of shape-invariant intertwinig operators, that span pairs of Lie algebras like (su(n),so(2n)) ...
  • Elliptic Hypergeometric Solutions to Elliptic Difference Equations 
    Magnus, A.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    It is shown how to define difference equations on particular lattices {xn}, n ∊ Z, made of values of an elliptic function at a sequence of arguments in arithmetic progression (elliptic lattice). Solutions to special ...
  • Hilbert Transforms Associated with Dunkl-Hermite Polynomials 
    Ben Salem, Nejib; Samaali, Taha (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We consider expansions of functions in Lp(R,|x|2kdx), 1 ≤ p < +∞ with respect to Dunkl-Hermite functions in the rank-one setting. We actually define the heat-diffusion and Poisson integrals in the one-dimensional Dunkl ...
  • Three Natural Generalizations of Fedosov Quantization 
    Bering, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Fedosov's simple geometrical construction for deformation quantization of symplectic manifolds is generalized in three ways without introducing new variables: (1) The base manifold is allowed to be a supermanifold. (2) The ...
  • Elliptic Hypergeometric Laurent Biorthogonal Polynomials with a Dense Point Spectrum on the Unit Circle 
    Tsujimoto, S.; Zhedanov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Using the technique of the elliptic Frobenius determinant, we construct new elliptic solutions of the QD-algorithm. These solutions can be interpreted as elliptic solutions of the discrete-time Toda chain as well. As a ...
  • Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials 
    Airault, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We obtain the Kirillov vector fields on the set of functions f univalent inside the unit disk, in terms of the Faber polynomials of 1/f(1/z). Our construction relies on the generating function for Faber polynomials.
  • Differential and Functional Identities for the Elliptic Trilogarithm 
    Strachan, Ian A.B. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    When written in terms of J-functions, the classical Frobenius-Stickelberger pseudo-addition formula takes a very simple form. Generalizations of this functional identity are studied, where the functions involved are ...
  • Nonlocal Operational Calculi for Dunkl Operators 
    Dimovski, I.H.; Hristov, V.Z. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The one-dimensional Dunkl operator Dk with a non-negative parameter k, is considered under an arbitrary nonlocal boundary value condition. The right inverse operator of Dk, satisfying this condition is studied. An operational ...
  • Limits of Gaudin Systems: Classical and Quantum Cases 
    Chervov, A.; Falqui, G.; Rybnikov, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We consider the XXX homogeneous Gaudin system with N sites, both in classical and the quantum case. In particular we show that a suitable limiting procedure for letting the poles of its Lax matrix collide can be used to ...
  • Nonlinear Dirac Equations 
    Wei Khim Ng; Rajesh R. Parwani (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We construct nonlinear extensions of Dirac's relativistic electron equation that preserve its other desirable properties such as locality, separability, conservation of probability and Poincaré invariance. We determine the ...
  • Hochschild Cohomology and Deformations of Clifford-Weyl Algebras 
    Musson, I.M.; Pinczon, G.; Ushirobira, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We give a complete study of the Clifford-Weyl algebra C(n,2k) from Bose-Fermi statistics, including Hochschild cohomology (with coefficients in itself). We show that C(n,2k) is rigid when n is even or when k ≠ 1. We find ...
  • q-Wakimoto Modules and Integral Formulae of Solutions of the Quantum Knizhnik-Zamolodchikov Equations 
    Kuroki, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Matrix elements of intertwining operators between q-Wakimoto modules associated to the tensor product of representations of Uq(^sl2) with arbitrary spins are studied. It is shown that they coincide with the Tarasov-Varchenko's ...
  • Induced Modules for Affine Lie Algebras 
    Futorny, V.; Kashuba, I. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We study induced modules of nonzero central charge with arbitrary multiplicities over affine Lie algebras. For a given pseudo parabolic subalgebra P of an affine Lie algebra G, our main result establishes the equivalence ...
  • 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 ...

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