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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:

  • Schrödinger-like Dilaton Gravity 
    Nakayama, Yu (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We investigate possibilities for a Schrödinger-like gravity with the dynamical critical exponent z=2, where the action only contains the first-order time derivative. The Horava gravity always admits such a relevant deformation ...
  • Shifted Riccati Procedure: Application to Conformal Barotropic FRW Cosmologies 
    Rosu, H.C.; Khmelnytskaya, K.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In the case of barotropic FRW cosmologies, the Hubble parameter in conformal time is the solution of a simple Riccati equation of constant coefficients. We consider these cosmologies in the framework of nonrelativistic ...
  • Singularities of Type-Q ABS Equations 
    Atkinson, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The type-Q equations lie on the top level of the hierarchy introduced by Adler, Bobenko and Suris (ABS) in their classification of discrete counterparts of KdV-type integrable partial differential equations. We ask what ...
  • Singularity Analysis and Integrability of a Burgers-Type System of Foursov 
    Sakovich, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We apply the Painlevé test for integrability of partial differential equations to a system of two coupled Burgers-type equations found by Foursov, which was recently shown by Sergyeyev to possess infinitely many commuting ...
  • Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation 
    Hietarinta, J.; Zhang, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Integrable multi-component lattice equations of the Boussinesq family have been known for some time. Recently some new equations of this type were found using the Consistency-Around-the-Cube approach. Here we investigate ...
  • Spherical Fourier Transforms on Locally Compact Quantum Gelfand Pairs 
    Caspers, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We study Gelfand pairs for locally compact quantum groups. We give an operator algebraic interpretation and show that the quantum Plancherel transformation restricts to a spherical Plancherel transformation. As an example, ...
  • Spin Chains with Non-Diagonal Boundaries and Trigonometric SOS Model with Reflecting End 
    Filali, G.; Kitanine, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this paper we consider two a priori very different problems: construction of the eigenstates of the spin chains with non parallel boundary magnetic fields and computation of the partition function for the trigonometric ...
  • Statistical Thermodynamics of Polymer Quantum Systems 
    Chacón-Acosta, G.; Manrique, E.; Dagdug, L.; Morales-Técotl, H.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Polymer quantum systems are mechanical models quantized similarly as loop quantum gravity. It is actually in quantizing gravity that the polymer term holds proper as the quantum geometry excitations yield a reminiscent of ...
  • Structure Constants of Diagonal Reduction Algebras of gl Type 
    Khoroshkin, S.; Ogievetsky, O. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We describe, in terms of generators and relations, the reduction algebra, related to the diagonal embedding of the Lie algebra gln into gln⊕gln. Its representation theory is related to the theory of decompositions of tensor ...
  • Superintegrable Oscillator and Kepler Systems on Spaces of Nonconstant Curvature via the Stäckel Transform 
    Ballesteros, A.; Enciso, A.; Herranz, F.J.; Ragnisco, O.; Riglioni, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The Stäckel transform is applied to the geodesic motion on Euclidean space, through the harmonic oscillator and Kepler-Coloumb potentials, in order to obtain maximally superintegrable classical systems on N-dimensional ...
  • 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 ...

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