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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:

  • Singularities of Affine Schubert Varieties 
    Kuttler, J.; Lakshmibai, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    This paper studies the singularities of affine Schubert varieties in the affine Grassmannian (of type Al⁽¹⁾). For two classes of affine Schubert varieties, we determine the singular loci; and for one class, we also determine ...
  • Singularity Classes of Special 2-Flags 
    Mormul, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In the paper we discuss certain classes of vector distributions in the tangent bundles to manifolds, obtained by series of applications of the so-called generalized Cartan prolongations (gCp). The classical Cartan prolongations ...
  • Solvable Rational Potentials and Exceptional Orthogonal Polynomials in Supersymmetric Quantum Mechanics 
    Quesne, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    New exactly solvable rationally-extended radial oscillator and Scarf I potentials are generated by using a constructive supersymmetric quantum mechanical method based on a reparametrization of the corresponding conventional ...
  • 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 ...
  • Symmetric Space Cartan Connections and Gravity in Three and Four Dimensions 
    Wise, D.K. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Einstein gravity in both 3 and 4 dimensions, as well as some interesting generalizations, can be written as gauge theories in which the connection is a Cartan connection for geometry modeled on a symmetric space. The ...
  • Symplectic Applicability of Lagrangian Surfaces 
    Musso, E.; Nicolodi, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We develop an approach to affine symplectic invariant geometry of Lagrangian surfaces by the method of moving frames. The fundamental invariants of elliptic Lagrangian immersions in affine symplectic four-space are derived ...
  • The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries 
    de la Madrid, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We review the way to analytically continue the Lippmann-Schwinger bras and kets into the complex plane. We will see that a naive analytic continuation leads to nonsensical results in resonance theory, and we will explain ...
  • The Explicit Construction of Einstein Finsler Metrics with Non-Constant Flag Curvature 
    Guo, E.; Mo, X.; Zhang, X. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    By using the Hawking Taub-NUT metric, this note gives an explicit construction of a 3-parameter family of Einstein Finsler metrics of non-constant flag curvature in terms of navigation representation.
  • 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 ...
  • 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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