Наукова електронна бібліотека
періодичних видань НАН України

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • Bermudez, David; Fern'andez C., David J. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    As it has been proven, the determination of general one-dimensional Schrödinger Hamiltonians having third-order differential ladder operators requires to solve the Painlevé IV equation. In this work, it will be shown that ...
  • David J. Fernández C.; Gadella, M.; Nieto, L.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We make a detailed study of the first and second-order SUSY partners of a one-dimensional free Hamiltonian with a singular perturbation proportional to a Dirac delta function. It is shown that the second-order transformations ...
  • Ormerod, C.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We wish to show that the root lattice of Bäcklund transformations of the q-analogue of the third and fourth Painlevé equations, which is of type (A₂+A₁)⁽¹⁾, may be expressed as a quotient of the lattice of connection ...
  • Levi, D.; Winternitz, P.; Yamilov, R.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A symmetry classification is performed for a class of differential-difference equations depending on 9 parameters. A 6-parameter subclass of these equations is an integrable discretization of the Krichever-Novikov equation. ...
  • Carignano, A.; Fatibene, L.; McLenaghan, R.L.; Rastelli, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A signature independent formalism is created and utilized to determine the general second-order symmetry operators for Dirac's equation on two-dimensional Lorentzian spin manifolds. The formalism is used to characterize ...
  • Fordy, A.P.; Hone, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We consider nonlinear recurrences generated from the iteration of maps that arise from cluster algebras. More precisely, starting from a skew-symmetric integer matrix, or its corresponding quiver, one can define a set of ...
  • Schillewaert, J.; Thas, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    For Riemannian manifolds there are several examples which are isospectral but not isometric, see e.g. J. Milnor [Proc. Nat. Acad. Sci. USA 51 (1964), 542]; in the present paper, we investigate pairs of domains in R² which ...
  • Eastwood, M.G.; Gover, A.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We give a complete construction of the Bernstein-Gelfand-Gelfand complex on real or complex projective space using minimal ingredients.
  • Eastwood, M.G.; Gover, A.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We give a complete construction of the Bernstein-Gelfand-Gelfand complex on real or complex projective space using minimal ingredients.
  • Alexakis, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    This paper forms part of a larger work where we prove a conjecture of Deser and Schwimmer regarding the algebraic structure of ''global conformal invariants''; these are defined to be conformally invariant integrals of ...
  • Coulembier, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We study Fourier theory on quantum Euclidean space. A modified version of the general definition of the Fourier transform on a quantum space is used and its inverse is constructed. The Fourier transforms can be defined by ...
  • Wolf, K.B. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The linear canonical transformations of geometric optics on two-dimensional screens form the group Sp(4,R), whose maximal compact subgroup is the Fourier group U(2)F; this includes isotropic and anisotropic Fourier transforms, ...
  • Ormerod, C.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We wish to explore a link between the Lax integrability of the q-Painlevé equations and the symmetries of the q-Painlevé equations. We shall demonstrate that the connection preserving deformations that give rise to the ...
  • Dimakis, A.; Kanning, N.; Müller-Hoissen, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The non-autonomous chiral model equation for an m×m matrix function on a two-dimensional space appears in particular in general relativity, where for m=2 a certain reduction of it determines stationary, axially symmetric ...
  • Mezincescu, L.; Townsend, P.K. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The minimal (N=1) superparticle in three spacetime dimensions (3D) is quantized. For non-zero mass it describes a spin-1/4 semion supermultiplet of ''relativistic helicities'' (−1/4,1/4). The addition of a parity-violating ...
  • Broadbridge, P.; Vassiliou, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    With few exceptions, known explicit solutions of the curve shortening flow (CSE) of a plane curve, can be constructed by classical Lie point symmetry reductions or by functional separation of variables. One of the functionally ...
  • Gielen, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We review some properties of the space of connections as the natural arena for canonical (quantum) gravity, and compare to the case of the superspace of 3-metrics. We detail how a 1-parameter family of metrics on the space ...
  • Terwilliger, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In 1992 A. Zhedanov introduced the Askey-Wilson algebra AW=AW(3) and used it to describe the Askey-Wilson polynomials. In this paper we introduce a central extension Δ of AW, obtained from AW by reinterpreting certain ...
  • Terwilliger, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Around 1992 A. Zhedanov introduced the Askey-Wilson algebra AW(3). Recently we introduced a central extension Δ of AW(3) called the universal Askey-Wilson algebra. In this paper we discuss a connection between Δ and the ...
  • Medvedev, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We compute the characteristic Cartan connection associated with a system of third order ODEs. Our connection is different from Tanaka normal one, but still is uniquely associated with the system of third order ODEs. This ...

Пошук


Розширений пошук

Перегляд

Мій обліковий запис