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:

  • Supersymmetric Quantum Mechanics and Painlevé IV Equation 
    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 ...
  • Supersymmetry Transformations for Delta Potentials 
    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 ...
  • Symmetries in Connection Preserving Deformations 
    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 ...
  • Symmetries of the Continuous and Discrete Krichever-Novikov Equation 
    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. ...
  • Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds 
    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 ...
  • Symplectic Maps from Cluster Algebras 
    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 ...
  • The 2-Transitive Transplantable Isospectral Drums 
    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 ...
  • The BGG Complex on Projective Space 
    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.
  • The BGG Complex on Projective Space 
    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.
  • The Decomposition of Global Conformal Invariants: Some Technical Proofs. I 
    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 ...
  • The Fourier Transform on Quantum Euclidean Space 
    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 ...
  • The Fourier U(2) Group and Separation of Discrete Variables 
    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, ...
  • The Lattice Structure of Connection Preserving Deformations for q-Painlevé Equations I 
    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 ...
  • The Non-Autonomous Chiral Model and the Ernst Equation of General Relativity in the Bidifferential Calculus Framework 
    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 ...
  • The Quantum 3D Superparticle 
    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 ...
  • The Role of Symmetry and Separation in Surface Evolution and Curve Shortening 
    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 ...
  • The Space of Connections as the Arena for (Quantum) Gravity 
    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 ...
  • The Universal Askey-Wilson Algebra 
    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 ...
  • The Universal Askey-Wilson Algebra and the Equitable Presentation of Uq(sl₂) 
    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 ...
  • Third Order ODEs Systems and Its Characteristic Connections 
    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