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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:

  • CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae 
    van de Leur, J. W.; Orlov, A.Y.; Shiota, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We develop the theory of CKP hierarchy introduced in the papers of Kyoto school [Date E., Jimbo M., Kashiwara M., Miwa T., J. Phys. Soc. Japan 50 (1981), 3806-3812] (see also [Kac V.G., van de Leur J.W., Adv. Ser. Math. ...
  • Classification of Non-Affine Non-Hecke Dynamical R-Matrices 
    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 ...
  • Classification of Traces and Associated Determinants on Odd-Class Operators in Odd Dimensions 
    Neira Jimenez, Carolina; Ouedraogo, Marie-Françoise (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    To supplement the already known classification of traces on classical pseudodifferential operators, we present a classification of traces on the algebras of odd-class pseudodifferential operators of non-positive order ...
  • Coherent States for Tremblay-Turbiner-Winternitz Potential 
    Sucu, Y.; Unal, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    In this study, we construct the coherent states for a particle in the Tremblay-Turbiner-Winternitz potential by finding the conserved charge coherent states of the four harmonic oscillators in the polar coordinates. We ...
  • Colored Tensor Models - a Review 
    Gurau, R.; Ryan, J.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Colored tensor models have recently burst onto the scene as a promising conceptual and computational tool in the investigation of problems of random geometry in dimension three and higher. We present a snapshot of the ...
  • Commuting Differential Operators of Rank 3 Associated to a Curve of Genus 2 
    Zuo, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    In this paper, we construct some examples of commuting differential operators L₁ and L₂ with rational coefficients of rank 3 corresponding to a curve of genus 2.
  • Complex SUSY Transformations and the Painlevé IV Equation 
    Bermúdez, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    In this paper we will explicitly work out the complex first-order SUSY transformation for the harmonic oscillator in order to obtain both real and complex new exactly-solvable potentials. Furthermore, we will show that ...
  • Conformally Equivariant Quantization - a Complete Classification 
    Michel, Jean-Philippe (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Conformally equivariant quantization is a peculiar map between symbols of real weight δ and differential operators acting on tensor densities, whose real weights are designed by λ and λ+δ. The existence and uniqueness of ...
  • Conservation Laws, Hodograph Transformation and Boundary Value Problems of Plane Plasticity 
    Senashov, S.I.; Yakhno, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    For the hyperbolic system of quasilinear first-order partial differential equations, linearizable by hodograph transformation, the conservation laws are used to solve the Cauchy problem. The equivalence of the initial ...
  • Construction of a Lax Pair for the E₆⁽¹⁾ q-Painlevé System 
    Witte, N.S.; Ormerod, C.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We construct a Lax pair for the E₆⁽¹⁾ q-Painlevé system from first principles by employing the general theory of semi-classical orthogonal polynomial systems characterised by divided-difference operators on discrete, ...
  • Covariant Fields of C*-Algebras under Rieffel Deformation 
    Belmonte, F.; Măntoiu, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We show that Rieffel's deformation sends covariant C(T)-algebras into C(T)-algebras. We also treat the lower semi-continuity issue, proving that Rieffel's deformation transforms covariant continuous fields of C*-algebras ...
  • Darboux Integrals for Schrödinger Planar Vector Fields via Darboux Transformations 
    Acosta-Humánez, P.B.; Pantazi, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    In this paper we study the Darboux transformations of planar vector fields of Schrödinger type. Using the isogaloisian property of Darboux transformation we prove the ''invariance'' of the objects of the ''Darboux theory ...
  • Definite Integrals using Orthogonality and Integral Transforms 
    Cohl, H.S.; Volkmer, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We obtain definite integrals for products of associated Legendre functions with Bessel functions, associated Legendre functions, and Chebyshev polynomials of the first kind using orthogonality and integral transforms.
  • Deformation Quantization by Moyal Star-Product and Stratonovich Chaos 
    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.
  • Deformed su(1,1) Algebra as a Model for Quantum Oscillators 
    Jafarov, E.I.; Stoilova, N.I.; Van der Jeugt, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    The Lie algebra su(1,1) can be deformed by a reflection operator, in such a way that the positive discrete series representations of su(1,1) can be extended to representations of this deformed algebra su(1,1)γ. Just as the ...
  • Discrete Fourier Analysis and Chebyshev Polynomials with G₂ Group 
    Li, H.; Sun, J.; Xu, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    The discrete Fourier analysis on the 30°-60°-90° triangle is deduced from the corresponding results on the regular hexagon by considering functions invariant under the group G₂, which leads to the definition of four families ...
  • Discrete Gravity Models and Loop Quantum Gravity: a Short Review 
    Dupuis, M.; Ryan, J.P.; Speziale, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We review the relation between Loop Quantum Gravity on a fixed graph and discrete models of gravity. We compare Regge and twisted geometries, and discuss discrete actions based on twisted geometries and on the discretization ...
  • Discrete Integrable Equations over Finite Fields 
    Kanki, M.; Mada, J.; Tokihiro, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Discrete integrable equations over finite fields are investigated. The indeterminacy of the equation is resolved by treating it over a field of rational functions instead of the finite field itself. The main discussion ...
  • Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems 
    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 ...
  • Discretisations, Constraints and Diffeomorphisms in Quantum Gravity 
    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 ...

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