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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:

  • Formal Integrability for the Nonautonomous Case of the Inverse Problem of the Calculus of Variations 
    Constantinescu, O. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We address the integrability conditions of the inverse problem of the calculus of variations for time-dependent SODE using the Spencer version of the Cartan-Kähler theorem. We consider a linear partial differential operator ...
  • Frobenius 3-Folds via Singular Flat 3-Webs 
    Agafonov, S.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We give a geometric interpretation of weighted homogeneous solutions to the associativity equation in terms of the web theory and construct a massive Frobenius 3-fold germ via a singular 3-web germ satisfying the following ...
  • Geometric Theory of the Recursion Operators for the Generalized Zakharov-Shabat System in Pole Gauge on the Algebra sl(n,C) with and without Reductions 
    Yanovski, A.B.; Vilasi, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We consider the recursion operator approach to the soliton equations related to the generalized Zakharov-Shabat system on the algebra sl(n,C) in pole gauge both in the general position and in the presence of reductions. ...
  • Geometry of Spectral Curves and All Order Dispersive Integrable System 
    Borot, G.; Eynard, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We propose a definition for a Tau function and a spinor kernel (closely related to Baker-Akhiezer functions), where times parametrize slow (of order 1/N) deformations of an algebraic plane curve. This definition consists ...
  • Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity 
    Sasaki, R.; Takemura, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Infinitely many explicit solutions of certain second-order differential equations with an apparent singularity of characteristic exponent −2 are constructed by adjusting the parameter of the multi-indexed Laguerre polynomials.
  • Harmonic Oscillator SUSY Partners and Evolution Loops 
    Fernández, D.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Supersymmetric quantum mechanics is a powerful tool for generating exactly solvable potentials departing from a given initial one. If applied to the harmonic oscillator, a family of Hamiltonians ruled by polynomial Heisenberg ...
  • Hecke Transformations of Conformal Blocks in WZW Theory. I. KZB Equations for Non-Trivial Bundles 
    Levin, A.M.; Olshanetsky, M.A.; Smirnov, A.V.; Zotov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We describe new families of the Knizhnik-Zamolodchikov-Bernard (KZB) equations related to the WZW-theory corresponding to the adjoint G-bundles of different topological types over complex curves Σg,n of genus g with n ...
  • Hermite and Laguerre Symmetric Functions Associated with Operators of Calogero-Moser-Sutherland Type 
    Desrosiers, P.; Hallnäs, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We introduce and study natural generalisations of the Hermite and Laguerre polynomials in the ring of symmetric functions as eigenfunctions of infinite-dimensional analogues of partial differential operators of ...
  • Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits 
    Visinescu, M.; Vîlcu, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    The hidden symmetries of higher dimensional Kerr-NUT-(A)dS metrics are investigated. In certain scaling limits these metrics are related to the Einstein-Sasaki ones. The complete set of Killing-Yano tensors of the ...
  • High-Energy String Scattering Amplitudes and Signless Stirling Number Identity 
    Lee, J.; Yan, C.H.; Yang, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We give a complete proof of a set of identities (7) proposed recently from calculation of high-energy string scattering amplitudes. These identities allow one to extract ratios among high-energy string scattering amplitudes ...
  • Holomorphic Quantization of Linear Field Theory in the General Boundary Formulation 
    Oeckl, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We present a rigorous quantization scheme that yields a quantum field theory in general boundary form starting from a linear field theory. Following a geometric quantization approach in the Kähler case, state spaces arise ...
  • Intersecting Quantum Gravity with Noncommutative Geometry - a Review 
    Aastrup, J.; Grimstrup, J.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We review applications of noncommutative geometry in canonical quantum gravity. First, we show that the framework of loop quantum gravity includes natural noncommutative structures which have, hitherto, not been explored. ...
  • Introduction to Loop Quantum Cosmology 
    Banerjee, K.; Calcagni, G.; Martín-Benito, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    This is an introduction to loop quantum cosmology (LQC) reviewing mini- and midisuperspace models as well as homogeneous and inhomogeneous effective dynamics.
  • Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity 
    Diaz-Polo, J.; Pranzetti, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We review the black hole entropy calculation in the framework of Loop Quantum Gravity based on the quasi-local definition of a black hole encoded in the isolated horizon formalism. We show, by means of the covariant phase ...
  • KZ Characteristic Variety as the Zero Set of Classical Calogero-Moser Hamiltonians 
    Mukhin, E.; Tarasov, T.; Varchenko, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We discuss a relation between the characteristic variety of the KZ equations and the zero set of the classical Calogero-Moser Hamiltonians.
  • Ladder Operators for Lamé Spheroconal Harmonic Polynomials 
    Méndez-Fragoso, R.; Ley-Koo, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Three sets of ladder operators in spheroconal coordinates and their respective actions on Lamé spheroconal harmonic polynomials are presented in this article. The polynomials are common eigenfunctions of the square of the ...
  • Ladder Operators for Quantum Systems Confined by Dihedral Angles 
    Ley-Koo, E.; Sun, G.-H. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We report the identification and construction of raising and lowering operators for the complete eigenfunctions of isotropic harmonic oscillators confined by dihedral angles, in circular cylindrical and spherical coordinates; ...
  • Lagrange Anchor and Characteristic Symmetries of Free Massless Fields 
    Kaparulin, D.S.; Lyakhovich, S.L.; Sharapov, A.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    A Poincaré covariant Lagrange anchor is found for the non-Lagrangian relativistic wave equations of Bargmann and Wigner describing free massless fields of spin s>1/2 in four-dimensional Minkowski space. By making use of ...
  • Learning about Quantum Gravity with a Couple of Nodes 
    Borja, E.F.; Garay, I.; Vidotto, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Loop Quantum Gravity provides a natural truncation of the infinite degrees of freedom of gravity, obtained by studying the theory on a given finite graph. We review this procedure and we present the construction of the ...
  • Lessons from Toy-Models for the Dynamics of Loop Quantum Gravity 
    Bonzom, V.; Laddha, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We review some approaches to the Hamiltonian dynamics of (loop) quantum gravity, the main issues being the regularization of the Hamiltonian and the continuum limit. First, Thiemann's definition of the quantum Hamiltonian ...

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