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Перегляд Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) за назвою

Сортувати за: Порядок: Результатів:

  • Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems 
    Tondo, G.; Tempesta, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    In the context of the theory of symplectic-Haantjes manifolds, we construct the Haantjes structures of generalized Stäckel systems and, as a particular case, of the quasi-bi-Hamiltonian systems. As an application, we recover ...
  • Hamiltonian Flows of Curves in G/SO(N) and Vector Soliton Equations of mKdV and Sine-Gordon Type 
    Anco, S.C. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The bi-Hamiltonian structure of the two known vector generalizations of the mKdV hierarchy of soliton equations is derived in a geometrical fashion from flows of non-stretching curves in Riemannian symmetric spaces G/SO(N). ...
  • Hamiltonian Structure of PI Hierarchy 
    Takasaki, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The string equation of type (2,2g+1) may be thought of as a higher order analogue of the first Painlevé equation that corresponds to the case of g = 1. For g > 1, this equation is accompanied with a finite set of commuting ...
  • Hamiltonian Systems Inspired by the Schrödinger Equation 
    Kovalchuk, V.; Slawianowski, J.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    Described is n-level quantum system realized in the n-dimensional ''Hilbert'' space H with the scalar product G taken as a dynamical variable. The most general Lagrangian for the wave function and G is considered. Equations ...
  • Hamilton-Jacobi Theory and Moving Frames 
    MacArthur, J.D.; McLenaghan, R.G.; Smirnov, R.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The interplay between the Hamilton-Jacobi theory of orthogonal separation of variables and the theory of group actions is investigated based on concrete examples.
  • Hankel Determinants of Zeta Values 
    Haynes, A.; Zudilin, W. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We study the asymptotics of Hankel determinants constructed using the values ζ(an+b) of the Riemann zeta function at positive integers in an arithmetic progression. Our principal result is a Diophantine application of the ...
  • Harmonic Analysis and Free Field Realization of the Takiff Supergroup of GL(1|1) 
    Babichenko, A.; Creutzig, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Takiff superalgebras are a family of non semi-simple Lie superalgebras that are believed to give rise to a rich structure of indecomposable representations of associated conformal field theories. We consider the Takiff ...
  • Harmonic Analysis in One-Parameter Metabelian Nilmanifolds 
    Ghorbel, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Let G be a connected, simply connected one-parameter metabelian nilpotent Lie group, that means, the corresponding Lie algebra has a one-codimensional abelian subalgebra. In this article we show that G contains a discrete ...
  • Harmonic Analysis on Quantum Complex Hyperbolic Spaces 
    Bershtein, O.; Kolisnyk, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this paper we obtain some results of harmonic analysis on quantum complex hyperbolic spaces. We introduce a quantum analog for the Laplace-Beltrami operator and its radial part. The latter appear to be second order ...
  • Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative 
    Santana, A.J.; Stelmastchuk, S.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Our purpose is to use a Darboux homogenous derivative to understand the harmonic maps with values in homogeneous space. We present a characterization of these harmonic maps from the geometry of homogeneous space. Furthermore, ...
  • Harmonic Oscillator on the SO(2,2) Hyperboloid 
    Petrosyan, D.R.; Pogosyan, G.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    In the present work the classical problem of harmonic oscillator in the hyperbolic space H²₂: z²₀+z²₁−z²₂−z²₃=R² has been completely solved in framework of Hamilton-Jacobi equation. We have shown that the harmonic oscillator ...
  • Harmonic Oscillator SUSY Partners and Evolution Loops 
    Fernández, D.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Supersymmetric quantum mechanics is a powerful tool for generating exactly solvable potentials departing from a given initial one. If applied to the harmonic oscillator, a family of Hamiltonians ruled by polynomial Heisenberg ...
  • Harmonic Superfields in N=4 Supersymmetric Quantum Mechanics 
    Ivanov, E.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    This is a brief survey of applications of the harmonic superspace methods to the models of N=4 supersymmetric quantum mechanics (SQM). The main focus is on a recent progress in constructing SQM models with couplings to the ...
  • Heat Kernel Measure on Central Extension of Current Groups in any Dimension 
    Léandre, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We define measures on central extension of current groups in any dimension by using infinite dimensional Brownian motion.
  • Heat Trace Asymptotics on Noncommutative Spaces 
    Vassilevich, D.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    This is a mini-review of the heat kernel expansion for generalized Laplacians on various noncommutative spaces. Applications to the spectral action principle, renormalization of noncommutative theories and anomalies are ...
  • 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 ...
  • Hecke Transformations of Conformal Blocks in WZW Theory. I. KZB Equations for Non-Trivial Bundles 
    Levin, A.M.; Olshanetsky, M.A.; Smirnov, A.V.; Zotov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We describe new families of the Knizhnik-Zamolodchikov-Bernard (KZB) equations related to the WZW-theory corresponding to the adjoint G-bundles of different topological types over complex curves Σg,n of genus g with n ...
  • 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 ...
  • Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz 
    Belliard, S.; Crampé, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We propose a generalization of the algebraic Bethe ansatz to obtain the eigenvectors of the Heisenberg spin chain with general boundaries associated to the eigenvalues and the Bethe equations found recently by Cao et al. ...
  • Hermite and Laguerre Symmetric Functions Associated with Operators of Calogero-Moser-Sutherland Type 
    Desrosiers, P.; Hallnäs, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We introduce and study natural generalisations of the Hermite and Laguerre polynomials in the ring of symmetric functions as eigenfunctions of infinite-dimensional analogues of partial differential operators of ...

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