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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:

  • 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 ...
  • The Klein-Gordon Equation and Differential Substitutions of the Form v=φ(u,ux,uy) 
    Kuznetsova, M.N.; Pekcan, A.; Zhiber, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We present the complete classification of equations of the form uxy=f(u,ux,uy) and the Klein-Gordon equations vxy=F(v) connected with one another by differential substitutions v=φ(u,ux,uy) such that φuxφuy≠0 over the ring ...
  • The Vertex Algebra M(1)⁺ and Certain Affine Vertex Algebras of Level −1 
    Adamović, D.; Perše, O. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We give a coset realization of the vertex operator algebra M(1)⁺ with central charge ℓ.
  • Time-Frequency Integrals and the Stationary Phase Method in Problems of Waves Propagation from Moving Sources 
    Burlak, G.; Rabinovich, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    The time-frequency integrals and the two-dimensional stationary phase method are applied to study the electromagnetic waves radiated by moving modulated sources in dispersive media. We show that such unified approach leads ...
  • Tippe Top Equations and Equations for the Related Mechanical Systems 
    Rutstam, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    The equations of motion for the rolling and gliding Tippe Top (TT) are nonintegrable and difficult to analyze. The only existing arguments about TT inversion are based on analysis of stability of asymptotic solutions and ...
  • Whitham's Method and Dubrovin-Novikov Bracket in Single-Phase and Multiphase Cases 
    Maltsev, A.Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    In this paper we examine in detail the procedure of averaging of the local field-theoretic Poisson brackets proposed by B.A. Dubrovin and S.P. Novikov for the method of Whitham. The main attention is paid to the questions ...

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