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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • Sakka, A.H. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We give Bäcklund transformations for first and second Painlevé hierarchies. These Bäcklund transformations are generalization of known Bäcklund transformations of the first and second Painlevé equations and they relate the ...
  • van de Bult, F.J.; Rains, E.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We describe a uniform way of obtaining basic hypergeometric functions as limits of the elliptic beta integral. This description gives rise to the construction of a polytope with a different basic hypergeometric function ...
  • Abdelkefi, C.; Sassi, F.; Sifi, M.; Anker, Jean-Philippe (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In this paper, we show the inclusion and the density of the Schwartz space in Besov-Dunkl spaces and we prove an interpolation formula for these spaces by the real method. We give another characterization for these spaces ...
  • Sasaki, Ryu; Yang, Wen-Li; Zhang, Yao-Zhong (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Bethe ansatz formulation is presented for several explicit examples of quasi exactly solvable difference equations of one degree of freedom which are introduced recently by one of the present authors. These equations are ...
  • Fox, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Harmonic functions u: Rn → Rm are equivalent to integral manifolds of an exterior differential system with independence condition (M,I,ω). To this system one associates the space of conservation laws C. They provide necessary ...
  • Crampin, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    This paper is a study of the relationship between two constructions associated with Cartan geometries, both of which involve Lie algebroids: the Cartan algebroid, due to [Blaom A.D., Trans. Amer. Math. Soc. 358 (2006), ...
  • Bouarroudj, S.; Grozman, P.; Leites, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Finite dimensional modular Lie superalgebras over algebraically closed fields with indecomposable Cartan matrices are classified under some technical, most probably inessential, hypotheses. If the Cartan matrix is invertible, ...
  • McRae, A.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Following Herranz and Santander [Herranz F.J., Santander M., Mem. Real Acad. Cienc. Exact. Fis. Natur. Madrid 32 (1998), 59-84, physics/9702030] we will construct homogeneous spaces based on possible kinematical algebras ...
  • Bagchi, B.; Fring, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We demonstrate that the recent paper by Jana and Roy entitled ''Non-Hermitian quantum mechanics with minimal length uncertainty'' [SIGMA 5 (2009), 083, 7 pages, arXiv:0908.1755] contains various misconceptions. We compare ...
  • Smilga, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We discuss the quantum dynamics of the PU oscillator, i.e. the system with the Lagrangian L = ½ [ ¨q² - (Ω₁² + Ω₂²) ·q² + Ω₁²Ω₂²q ] (+ nonlinear terms). When Ω₁ ≠ Ω₂, the free PU oscillator has a pure point spectrum ...
  • Alekseevsky, D.V.; Nikonorov, Y.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    A homogeneous Riemannian space (M = G/H,g) is called a geodesic orbit space (shortly, GO-space) if any geodesic is an orbit of one-parameter subgroup of the isometry group G. We study the structure of compact GO-spaces and ...
  • Ianus, S.; Visinescu, M.; Vîlcu, G.E. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We show the existence of conformal Killing-Yano tensors on a manifold endowed with a mixed 3-Sasakian structure.
  • Hammerl, M.; Sagerschnig, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Given a maximally non-integrable 2-distribution D on a 5-manifold M, it was discovered by P. Nurowski that one can naturally associate a conformal structure [g]D of signature (2,3) on M. We show that those conformal ...
  • Vassiliou, P.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Cartan's method of moving frames is briefly recalled in the context of immersed curves in the homogeneous space of a Lie group G. The contact geometry of curves in low dimensional equi-affine geometry is then made explicit. ...
  • Znojil, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    One-dimensional unitary scattering controlled by non-Hermitian (typically, PT-symmetric) quantum Hamiltonians H ≠ H† is considered. Treating these operators via Runge-Kutta approximation, our three-Hilbert-space formulation ...
  • Neumaier, N.; Waldmann, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In the present paper we explicitly construct deformation quantizations of certain Poisson structures on E*, where E → M is a Lie algebroid. Although the considered Poisson structures in general are far from being regular ...
  • Wallet, Jean-Christophe (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The differential calculus based on the derivations of an associative algebra underlies most of the noncommutative field theories considered so far. We review the essential properties of this framework and the main features ...
  • Bogoliubov, N.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The basic model of the non-equilibrium low dimensional physics the so-called totally asymmetric exclusion process is related to the 'crystalline limit' (q → ∞) of the SUq(2) quantum algebra. Using the quantum inverse ...
  • Strachan, Ian A.B. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    When written in terms of J-functions, the classical Frobenius-Stickelberger pseudo-addition formula takes a very simple form. Generalizations of this functional identity are studied, where the functions involved are ...
  • Ghorbel, A.; Hamrouni, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The discrete cocompact subgroups of the five-dimensional connected, simply connected nilpotent Lie groups are determined up to isomorphism. Moreover, we prove if G = N × A is a connected, simply connected, nilpotent Lie ...

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