Наукова електронна бібліотека
періодичних видань НАН України

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • Orthogonal Basic Hypergeometric Laurent Polynomials 
    Mourad E.H. Ismail; Stanton, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    The Askey-Wilson polynomials are orthogonal polynomials in x=cosθ, which are given as a terminating ₄∅₃ basic hypergeometric series. The non-symmetric Askey-Wilson polynomials are Laurent polynomials in z=eiθ, which are ...
  • Polynomial Relations for q-Characters via the ODE/IM Correspondence 
    Sun, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Let Uq(b) be the Borel subalgebra of a quantum affine algebra of type X⁽¹⁾n (X=A,B,C,D). Guided by the ODE/IM correspondence in quantum integrable models, we propose conjectural polynomial relations among the q-characters ...
  • Quasi-Grammian Solutions of the Generalized Coupled Dispersionless Integrable System 
    Haider, B.; Hassan, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    The standard binary Darboux transformation is investigated and is used to obtain quasi-Grammian multisoliton solutions of the generalized coupled dispersionless integrable system.
  • Rational Calogero-Moser Model: Explicit Form and r-Matrix of the Second Poisson Structure 
    Avan, J.; Ragoucy, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We compute the full expression of the second Poisson bracket structure for N=2 and N=3 site rational classical Calogero-Moser model. We propose an r-matrix formulation for N=2. It is identified with the classical limit of ...
  • Recent Developments in (0,2) Mirror Symmetry 
    Melnikov, I.; Sethi, S.; Sharpe, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Mirror symmetry of the type II string has a beautiful generalization to the heterotic string. This generalization, known as (0,2) mirror symmetry, is a field still largely in its infancy. We describe recent developments ...
  • Recursion Operators and Frobenius Manifolds 
    Magri, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    In this note I exhibit a ''discrete homotopy'' which joins the category of F-manifolds to the category of Poisson-Nijenhuis manifolds, passing through the category of Frobenius manifolds.
  • Relational Observables in Gravity: a Review 
    Tambornino, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We present an overview on relational observables in gravity mainly from a loop quantum gravity perspective. The gauge group of general relativity is the diffeomorphism group of the underlying manifold. Consequently, general ...
  • Renormalization Method and Mirror Symmetry 
    Li, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    This is a brief summary of our works [arXiv:1112.4063, arXiv:1201.4501] on constructing higher genus B-model from perturbative quantization of BCOV theory. We analyze Givental's symplectic loop space formalism in the context ...
  • Separation of Variables and Contractions on Two-Dimensional Hyperboloid 
    Kalnins, E.; Pogosyan, G.S.; Yakhno, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    In this paper analytic contractions have been established in the R→∞ contraction limit for exactly solvable basis functions of the Helmholtz equation on the two-dimensional two-sheeted hyperboloid. As a consequence we ...
  • Singular Isotonic Oscillator, Supersymmetry and Superintegrability 
    Marquette, I. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    In the case of a one-dimensional nonsingular Hamiltonian H and a singular supersymmetric partner Hα, the Darboux and factorization relations of supersymmetric quantum mechanics can be only formal relations. It was shown ...
  • Solutions of Helmholtz and Schrödinger Equations with Side Condition and Nonregular Separation of Variables 
    Broadbridge, P.; Chanu, C.M.; Miller Jr., Willard (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Olver and Rosenau studied group-invariant solutions of (generally nonlinear) partial differential equations through the imposition of a side condition. We apply a similar idea to the special case of finite-dimensional ...
  • Solutions of the Dirac Equation in a Magnetic Field and Intertwining Operators 
    Contreras-Astorga, A.; J. Fernández C., D.; Negro, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    The intertwining technique has been widely used to study the Schrödinger equation and to generate new Hamiltonians with known spectra. This technique can be adapted to find the bound states of certain Dirac Hamiltonians. ...
  • Some Remarks on Very-Well-Poised ₈∅₇ Series 
    Stokman, J.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Nonpolynomial basic hypergeometric eigenfunctions of the Askey-Wilson second order difference operator are known to be expressible as very-well-poised ₈∅₇ series. In this paper we use this fact to derive various basic ...
  • Spectral Analysis of Certain Schrödinger Operators 
    Ismail, Mourad E.H.; Koelink, E (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    The J-matrix method is extended to difference and q-difference operators and is applied to several explicit differential, difference, q-difference and second order Askey-Wilson type operators. The spectrum and the spectral ...
  • Spin Foams and Canonical Quantization 
    Alexandrov, S.; Geiller, M.; Noui, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    This review is devoted to the analysis of the mutual consistency of the spin foam and canonical loop quantizations in three and four spacetime dimensions. In the three-dimensional context, where the two approaches are in ...
  • Structure Theory for Extended Kepler-Coulomb 3D Classical Superintegrable Systems 
    Kalnins, E.G.; Miller Jr., W. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    The classical Kepler-Coulomb system in 3 dimensions is well known to be 2nd order superintegrable, with a symmetry algebra that closes polynomially under Poisson brackets. This polynomial closure is typical for 2nd order ...
  • Superintegrable Extensions of Superintegrable Systems 
    Chanu, C.M.; Degiovanni, L.; Rastelli, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    A procedure to extend a superintegrable system into a new superintegrable one is systematically tested for the known systems on E² and S² and for a family of systems defined on constant curvature manifolds. The procedure ...
  • Superintegrable Stäckel Systems on the Plane: Elliptic and Parabolic Coordinates 
    Tsiganov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Recently we proposed a generic construction of the additional integrals of motion for the Stäckel systems applying addition theorems to the angle variables. In this note we show some trivial examples associated with angle ...
  • Supersymmetric Proof of the Hirzebruch-Riemann-Roch Theorem for Non-Kähler Manifolds 
    Smilga, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We present the proof of the HRR theorem for a generic complex compact manifold by evaluating the functional integral for the Witten index of the appropriate supersymmetric quantum mechanical system.
  • Sylvester versus Gundelfinger 
    Brouwer, A.E.; Popoviciu, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Let Vn be the SL₂-module of binary forms of degree n and let V=V₁⊕V₃⊕V₄. We show that the minimum number of generators of the algebra R=C[V]SL₂ of polynomial functions on V invariant under the action of SL₂ equals 63. This ...

Пошук


Розширений пошук

Перегляд

Мій обліковий запис