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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:

  • Natural Intrinsic Geometrical Symmetries 
    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 ...
  • Noncommutative Root Space Witt, Ricci Flow, and Poisson Bracket Continual Lie Algebras 
    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.
  • Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields 
    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 ...
  • Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty 
    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. ...
  • Non-Hermitian Quantum Systems and Time-Optimal Quantum Evolution 
    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> ...
  • Nonlinear Dirac Equations 
    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 ...
  • Nonlocal Operational Calculi for Dunkl Operators 
    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 ...
  • On a Whitham-Type Equation 
    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.
  • On Brane Solutions Related to Non-Singular Kac-Moody Algebras 
    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 ...
  • On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems 
    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 ...
  • On Linear Differential Equations Involving a Para-Grassmann Variable 
    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 ...
  • On Projective Equivalence of Univariate Polynomial Subspaces 
    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 ...
  • On Spinor Varieties and Their Secants 
    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 ...
  • On Tanaka's Prolongation Procedure for Filtered Structures of Constant Type 
    Zelenko, I. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We present Tanaka's prolongation procedure for filtered structures on manifolds discovered in [Tanaka N., J. Math. Kyoto. Univ. 10 (1970), 1-82] in a spirit of Singer-Sternberg's description of the prolongation of usual ...
  • On the Moore Formula of Compact Nilmanifolds 
    Hamrouni, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Let G be a connected and simply connected two-step nilpotent Lie group and Γ a lattice subgroup of G. In this note, we give a new multiplicity formula, according to the sense of Moore, of irreducible unitary representations ...
  • On the Spectrum of a Discrete Non-Hermitian Quantum System 
    Ergun, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In this paper, we develop spectral analysis of a discrete non-Hermitian quantum system that is a discrete counterpart of some continuous quantum systems on a complex contour. In particular, simple conditions for discreteness ...
  • On the Structure of Lie Pseudo-Groups 
    Olver, P.J.; Pohjanpelto, J.; Valiquette, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We compare and contrast two approaches to the structure theory for Lie pseudo-groups, the first due to Cartan, and the second due to the first two authors. We argue that the latter approach offers certain advantages from ...
  • Partial Sums of Two Quartic q-Series 
    Chu, W.; Wang, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The partial sums of two quartic basic hypergeometric series are investigated by means of the modified Abel lemma on summation by parts. Several summation and transformation formulae are consequently established.
  • Point Canonical Transformation versus Deformed Shape Invariance for Position-Dependent Mass Schrödinger Equations 
    Quesne, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    On using the known equivalence between the presence of a position-dependent mass (PDM) in the Schrödinger equation and a deformation of the canonical commutation relations, a method based on deformed shape invariance has ...
  • PT Symmetry and QCD: Finite Temperature and Density 
    Ogilvie, M.C.; Meisinger, P.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The relevance of PT symmetry to quantum chromodynamics (QCD), the gauge theory of the strong interactions, is explored in the context of finite temperature and density. Two significant problems in QCD are studied: the sign ...

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