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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • 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 ...
  • 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 ...
  • 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 ...
  • Quiver Varieties and Branching 
    Nakajima, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Braverman and Finkelberg recently proposed the geometric Satake correspondence for the affine Kac-Moody group Gaff [Braverman A., Finkelberg M., arXiv:0711.2083]. They conjecture that intersection cohomology sheaves on the ...
  • Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System 
    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) ...
  • 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.
  • Manin Matrices, Quantum Elliptic Commutative Families and Characteristic Polynomial of Elliptic Gaudin Model 
    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 ...
  • 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 ...
  • Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics 
    Andrianov, A.A.; Sokolov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    When several inequivalent supercharges form a closed superalgebra in Quantum Mechanics it entails the appearance of hidden symmetries of a Super-Hamiltonian. We examine this problem in one-dimensional QM for the case of ...
  • 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 ...
  • 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 ...
  • 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.
  • 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 ...
  • Limits of Gaudin Systems: Classical and Quantum Cases 
    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 ...
  • 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 ...

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