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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:

  • Komori, Y.; Noumi, M.; Shiraishi, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    A unified approach is given to kernel functions which intertwine Ruijsenaars difference operators of type A and of type BC. As an application of the trigonometric cases, new explicit formulas for Koornwinder polynomials ...
  • Chervov, A.; Falqui, G.; Rybnikov, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We consider the XXX homogeneous Gaudin system with N sites, both in classical and the quantum case. In particular we show that a suitable limiting procedure for letting the poles of its Lax matrix collide can be used to ...
  • Rubtsov, V.; Silantyev, A.; Talalaev, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In this paper we construct the quantum spectral curve for the quantum dynamical elliptic gln Gaudin model. We realize it considering a commutative family corresponding to the Felder's elliptic quantum group Eτ,h(gln) and ...
  • Takemura, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Heun's equation naturally appears as special cases of Fuchsian system of differential equations of rank two with four singularities by introducing the space of initial conditions of the sixth Painlevé equation. Middle ...
  • Levin, A.M.; Olshanetsky, M.A.; Zotov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Modifications of bundles over complex curves is an operation that allows one to construct a new bundle from a given one. Modifications can change a topological type of bundle. We describe the topological type in terms of ...
  • Dimakis, A.; Müller-Hoissen, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Via a Cole-Hopf transformation, the multicomponent linear heat hierarchy leads to a multicomponent Burgers hierarchy. We show in particular that any solution of the latter also solves a corresponding multicomponent (potential) ...
  • Román-Roy, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    This review paper is devoted to presenting the standard multisymplectic formulation for describing geometrically classical field theories, both the regular and singular cases. First, the main features of the Lagrangian ...
  • Haesen, S.; Verstraelen, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    A proposal is made for what could well be the most natural symmetrical Riemannian spaces which are homogeneous but not isotropic, i.e. of what could well be the most natural class of symmetrical spaces beyond the spaces ...
  • Zuevsky, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We introduce new examples of mappings defining noncommutative root space generalizations for the Witt, Ricci flow, and Poisson bracket continual Lie algebras.
  • Ferreiro Pérez, R.; Muñoz Masqué, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Two examples of Diff⁺S¹-invariant closed two-forms obtained from forms on jet bundles, which does not admit equivariant moment maps are presented. The corresponding cohomological obstruction is computed and shown to coincide ...
  • Jana, T.K.; Roy, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We study non-Hermitian quantum mechanics in the presence of a minimal length. In particular we obtain exact solutions of a non-Hermitian displaced harmonic oscillator and the Swanson model with minimal length uncertainty. ...
  • Nesterov, A.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Recently, Bender et al. have considered the quantum brachistochrone problem for the non-Hermitian PT-symmetric quantum system and have shown that the optimal time evolution required to transform a given initial state |ψi> ...
  • Wei Khim Ng; Rajesh R. Parwani (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We construct nonlinear extensions of Dirac's relativistic electron equation that preserve its other desirable properties such as locality, separability, conservation of probability and Poincaré invariance. We determine the ...
  • Dimovski, I.H.; Hristov, V.Z. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The one-dimensional Dunkl operator Dk with a non-negative parameter k, is considered under an arbitrary nonlocal boundary value condition. The right inverse operator of Dk, satisfying this condition is studied. An operational ...
  • Sakovich, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The Hunter-Saxton equation and the Gurevich-Zybin system are considered as two mutually non-equivalent representations of one and the same Whitham-type equation, and all their common solutions are obtained exactly.
  • Ivashchuk, V.D.; Melnikov, V.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    A multidimensional gravitational model containing scalar fields and antisymmetric forms is considered. The manifold is chosen in the form M = M0 × M1 × ... × Mn, where Mi are Einstein spaces (i ≥ 1). The sigma-model approach ...
  • Pavlov, M.V.; Popowicz, Z. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The particular case of the integrable two component (2+1)-dimensional hydrodynamical type systems, which generalises the so-called Hamiltonian subcase, is considered. The associated system in involution is integrated in a ...
  • Mansour, T.; Schork, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    As a first step towards a theory of differential equations involving para-Grassmann variables the linear equations with constant coefficients are discussed and solutions for equations of low order are given explicitly. A ...
  • Crooks, P.; Milson, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We pose and solve the equivalence problem for subspaces of Pn, the (n+1) dimensional vector space of univariate polynomials of degree ≤ n. The group of interest is SL2 acting by projective transformations on the Grassmannian ...
  • Manivel, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We study the secant variety of the spinor variety, focusing on its equations of degree three and four. We show that in type Dn, cubic equations exist if and only if n ≥ 9. In general the ideal has generators in degrees at ...

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