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

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

Сортувати за: Порядок: Результатів:

  • Conformal Killing-Yano Tensors on Manifolds with Mixed 3-Structures 
    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.
  • Inversion Formulas for the Spherical Radon-Dunkl Transform 
    Li, Zhongkai; Song, Futao (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The spherical Radon-Dunkl transform Rκ, associated to weight functions invariant under a finite reflection group, is introduced, and some elementary properties are obtained in terms of h-harmonics. Several inversion formulas ...
  • Toeplitz Quantization and Asymptotic Expansions: Geometric Construction 
    Englis, M.; Upmeier, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    For a real symmetric domain GR/KR, with complexification GC/KC, we introduce the concept of ''star-restriction'' (a real analogue of the ''star-products'' for quantization of Kähler manifolds) and give a geometric construction ...
  • Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians 
    Guseinov, G.Sh. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In this paper, the concept of generalized spectral function is introduced for finite-order tridiagonal symmetric matrices (Jacobi matrices) with complex entries. The structure of the generalized spectral function is described ...
  • 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 ...
  • Comments on the Dynamics of the Pais-Uhlenbeck Oscillator 
    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 ...
  • Imaginary Powers of the Dunkl Harmonic Oscillator 
    Nowak, A.; Stempak, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In this paper we continue the study of spectral properties of the Dunkl harmonic oscillator in the context of a finite reflection group on Rd isomorphic to Z₂d. We prove that imaginary powers of this operator are bounded ...
  • The Group of Quasisymmetric Homeomorphisms of the Circle and Quantization of the Universal Teichmüller Space 
    Sergeev, A.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In the first part of the paper we describe the complex geometry of the universal Teichmüller space T, which may be realized as an open subset in the complex Banach space of holomorphic quadratic differentials in the unit ...
  • Simple Finite Jordan Pseudoalgebras 
    Kolesnikov, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We consider the structure of Jordan H-pseudoalgebras which are linearly finitely generated over a Hopf algebra H. There are two cases under consideration: H = U(h) and H = U(h) # C[Γ], where h is a finite-dimensional Lie ...
  • The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials 
    Kakei, S.; Nishizawa, M.; Saito, Y.; Takeyama, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We construct special solutions to the rational quantum Knizhnik-Zamolodchikov equation associated with the Lie algebra glN. The main ingredient is a special class of the shifted non-symmetric Jack polynomials. It may be ...
  • Derivations of the Moyal Algebra and Noncommutative Gauge Theories 
    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 ...
  • Hecke-Clifford Algebras and Spin Hecke Algebras IV: Odd Double Affine Type 
    Khongsap, T.; Wang, W. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We introduce an odd double affine Hecke algebra (DaHa) generated by a classical Weyl group W and two skew-polynomial subalgebras of anticommuting generators. This algebra is shown to be Morita equivalent to another new ...
  • Self-Consistent-Field Method and τ-Functional Method on Group Manifold in Soliton Theory: a Review and New Results 
    Nishiyama, S.; da Providência, J.; Providência, C.; Cordeiro, F.; Komatsu, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The maximally-decoupled method has been considered as a theory to apply an basic idea of an integrability condition to certain multiple parametrized symmetries. The method is regarded as a mathematical tool to describe a ...
  • Discrete Cocompact Subgroups of the Five-Dimensional Connected and Simply Connected Nilpotent Lie Groups 
    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 ...
  • Bäcklund Transformations for First and Second Painlevé Hierarchies 
    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 ...
  • Besov-Type Spaces on Rd and Integrability for the Dunkl Transform 
    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 ...
  • Structure Theory for Second Order 2D Superintegrable Systems with 1-Parameter Potentials 
    Kalnins, E.G.; Kress, J.M.; Post, S.; Miller Jr., W. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The structure theory for the quadratic algebra generated by first and second order constants of the motion for 2D second order superintegrable systems with nondegenerate (3-parameter) and or 2-parameter potentials is well ...
  • 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 ...
  • Heisenberg-Type Families in Uq(sl₂) 
    Zuevsky, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Using the second Drinfeld formulation of the quantized universal enveloping algebra Uq(sl₂) we introduce a family of its Heisenberg-type elements which are endowed with a deformed commutator and satisfy properties similar ...
  • Generalized Nonanalytic Expansions, PT-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillators 
    Jentschura, U.D.; Surzhykov, A.; Zinn-Justin, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The concept of a generalized nonanalytic expansion which involves nonanalytic combinations of exponentials, logarithms and powers of a coupling is introduced and its use illustrated in various areas of physics. Dispersion ...

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