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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • Brizuela, D.; Cartin, D.; Khanna, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    In this article, we review the use of numerical techniques to obtain solutions for the quantum Hamiltonian constraint in loop quantum cosmology (LQC). First, we summarize the basic features of LQC, and describe features ...
  • 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 ...
  • 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 ...
  • B.A. Lecomte, P.; Leuther, T.; Mushengezi, E.Z. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We prove that a vector bundle π: E→M is characterized by the Lie algebra generated by all differential operators on E which are eigenvectors of the Lie derivative in the direction of the Euler vector field. Our result is ...
  • Bahr, B.; Gambini, R.; Pullin, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    In this review we discuss the interplay between discretization, constraint implementation, and diffeomorphism symmetry in Loop Quantum Gravity and Spin Foam models. To this end we review the Consistent Discretizations ...
  • Kaul, R.K. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    In the Loop Quantum Gravity, black holes (or even more general Isolated Horizons) are described by a SU(2) Chern-Simons theory. There is an equivalent formulation of the horizon degrees of freedom in terms of a U(1) gauge ...
  • García-Beltrán, D.; Vallejo, J.A.; Vorobjev, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We introduce and study a class of Lie algebroids associated to faithful modules which is motivated by the notion of cotangent Lie algebroids of Poisson manifolds. We also give a classification of transitive Lie algebroids ...
  • Matveev, V.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We construct a counterexample to Theorem 2 of [Rafie-Rad M., Rezaei B., SIGMA 7 (2011), 085, 12 pages].
  • Miki, H.; Goda, H.; Tsujimoto, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Discrete spectral transformations of skew orthogonal polynomials are presented. From these spectral transformations, it is shown that the corresponding discrete integrable systems are derived both in 1+1 dimension and in ...
  • 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 ...
  • Date, G.; Hossain, G.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Loop quantum gravity, a non-perturbative and manifestly background free, quantum theory of gravity implies that at the kinematical level the spatial geometry is discrete in a specific sense. The spirit of background ...
  • Léandre, R.; Obame Nguema, Maurice (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We make a deformation quantization by Moyal star-product on a space of functions endowed with the normalized Wick product and where Stratonovich chaos are well defined.
  • 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 ...
  • Tsiganov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    A rigid body in an ideal fluid is an important example of Hamiltonian systems on a dual to the semidirect product Lie algebra e(3)=so(3)⋉R³. We present the bi-Hamiltonian structure and the corresponding variables of ...
  • Morozov, O.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We find a two-component generalization of the integrable case of rdDym equation. The reductions of this system include the general rdDym equation, the Boyer-Finley equation, and the deformed Boyer-Finley equation. Also we ...
  • Avan, J.; Billaud, B.; Rollet, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    A complete classification of non-affine dynamical quantum R-matrices obeying the Gln(C)-Gervais-Neveu-Felder equation is obtained without assuming either Hecke or weak Hecke conditions. More general dynamical dependences ...
  • 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 ...
  • Meljanac, S.; Škoda, Z.; Svrtan, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Given formal differential operators Fi on polynomial algebra in several variables x₁,…,xn, we discuss finding expressions Kl determined by the equation exp(∑ixiFi)(exp(∑jqjxj))=exp(∑lKlxl) and their applications. The ...
  • Braden, H.W.; Northover, T.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Bring's curve is the genus 4 Riemann surface with automorphism group of maximal size, S₅. Riera and Rodríguez have provided the most detailed study of the curve thus far via a hyperbolic model. We will recover and extend ...
  • 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.

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