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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:

  • 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 ...
  • The Symmetrical Hq-Semiclassical Orthogonal Polynomials of Class One 
    Ghressi, A.; Khériji, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We investigate the quadratic decomposition and duality to classify symmetrical Hq-semiclassical orthogonal q-polynomials of class one where Hq is the Hahn's operator. For any canonical situation, the recurrence coefficients, ...
  • Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture 
    Langer, R.; Schlosser, M.J.; Warnaar, S.O. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We give a new theta-function identity, a special case of which is utilised to prove Kawanaka's Macdonald polynomial conjecture. The theta-function identity further yields a transformation formula for multivariable elliptic ...
  • Three-Hilbert-Space Formulation of Quantum Mechanics 
    Znojil, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In paper [Znojil M., Phys. Rev. D 78 (2008), 085003, 5 pages, arXiv:0809.2874] the two-Hilbert-space (2HS, a.k.a. cryptohermitian) formulation of Quantum Mechanics has been revisited. In the present continuation of this ...
  • Three Natural Generalizations of Fedosov Quantization 
    Bering, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Fedosov's simple geometrical construction for deformation quantization of symplectic manifolds is generalized in three ways without introducing new variables: (1) The base manifold is allowed to be a supermanifold. (2) The ...
  • 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 ...
  • Trigonometric Solutions of WDVV Equations and Generalized Calogero-Moser-Sutherland Systems 
    Feigin, M.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We consider trigonometric solutions of WDVV equations and derive geometric conditions when a collection of vectors with multiplicities determines such a solution. We incorporate these conditions into the notion of trigonometric ...
  • T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac-Moody Algebras 
    Kuniba, A.; Nakanishi, T.; Suzuki, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The T-systems and Y-systems are classes of algebraic relations originally associated with quantum affine algebras and Yangians. Recently the T-systems were generalized to quantum affinizations of a wide class of quantum ...
  • Variations of Hodge Structure Considered as an Exterior Differential System: Old and New Results 
    Carlson, J.; Green, M.; Griffiths, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    This paper is a survey of the subject of variations of Hodge structure (VHS) considered as exterior differential systems (EDS). We review developments over the last twenty-six years, with an emphasis on some key examples. ...
  • Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials 
    Airault, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We obtain the Kirillov vector fields on the set of functions f univalent inside the unit disk, in terms of the Faber polynomials of 1/f(1/z). Our construction relies on the generating function for Faber polynomials.
  • Wigner Quantization of Hamiltonians Describing Harmonic Oscillators Coupled by a General Interaction Matri 
    Regniers, G.; Van der Jeugt, Joris (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In a system of coupled harmonic oscillators, the interaction can be represented by a real, symmetric and positive definite interaction matrix. The quantization of a Hamiltonian describing such a system has been done in the ...

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