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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7 за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7 за назвою

Сортувати за: Порядок: Результатів:

  • Models of Quadratic Algebras Generated by Superintegrable Systems in 2D 
    Post, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this paper, we consider operator realizations of quadratic algebras generated by second-order superintegrable systems in 2D. At least one such realization is given for each set of Stäckel equivalent systems for both ...
  • N=4 Multi-Particle Mechanics, WDVV Equation and Roots 
    Lechtenfeld, O.; Schwerdtfeger, K.; Thürigen, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We review the relation of N=4 superconformal multi-particle models on the real line to the WDVV equation and an associated linear equation for two prepotentials, F and U. The superspace treatment gives another variant of ...
  • Natural and Projectively Invariant Quantizations on Supermanifolds 
    Leuther, T.; Radoux, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The existence of a natural and projectively invariant quantization in the sense of P. Lecomte [Progr. Theoret. Phys. Suppl. (2001), no. 144, 125-132] was proved by M. Bordemann [math.DG/0208171], using the framework of ...
  • Noncommutative Phase Spaces by Coadjoint Orbits Method 
    Ngendakumana, A.; Nzotungicimpaye, J.; Todjihounde, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We introduce noncommutative phase spaces by minimal couplings (usual one, dual one and their mixing). We then realize some of them as coadjoint orbits of the anisotropic Newton-Hooke groups in two- and three-dimensional ...
  • On Algebraically Integrable Differential Operators on an Elliptic Curve 
    Etingof, P.; Rains, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We study differential operators on an elliptic curve of order higher than 2 which are algebraically integrable (i.e., finite gap). We discuss classification of such operators of order 3 with one pole, discovering exotic ...
  • On a Recently Introduced Fifth-Order Bi-Hamiltonian Equation and Trivially Related Hamiltonian Operators 
    Talati, D.; Turhan, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We show that a recently introduced fifth-order bi-Hamiltonian equation with a differentially constrained arbitrary function by A. de Sole, V.G. Kac and M. Wakimoto is not a new one but a higher symmetry of a third-order ...
  • On Darboux's Approach to R-Separability of Variables 
    Sym, A.; Szereszewski, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We discuss the problem of R-separability (separability of variables with a factor R) in the stationary Schrödinger equation on n-dimensional Riemann space. We follow the approach of Gaston Darboux who was the first to give ...
  • On Initial Data in the Problem of Consistency on Cubic Lattices for 3×3 Determinants 
    Mokhov, O.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The paper is devoted to complete proofs of theorems on consistency on cubic lattices for 3×3 determinants. The discrete nonlinear equations on Z² defined by the condition that the determinants of all 3×3 matrices of values ...
  • On Parameter Differentiation for Integral Representations of Associated Legendre Functions 
    Cohl, H.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    For integral representations of associated Legendre functions in terms of modified Bessel functions, we establish justification for differentiation under the integral sign with respect to parameters. With this justification, ...
  • On the Complex Symmetric and Skew-Symmetric Operators with a Simple Spectrum 
    Zagorodnyuk, S.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this paper we obtain necessary and sufficient conditions for a linear bounded operator in a Hilbert space H to have a three-diagonal complex symmetric matrix with non-zero elements on the first sub-diagonal in an ...
  • On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials 
    Koornwinder, T.H. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A limit formula from q-Racah polynomials to big q-Jacobi polynomials is given which can be considered as a limit formula for orthogonal polynomials. This is extended to a multi-parameter limit with 3 parameters, also ...
  • On the Projective Algebra of Randers Metrics of Constant Flag Curvature 
    Rafie-Rad, M.; Rezaei, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The collection of all projective vector fields on a Finsler space (M,F) is a finite-dimensional Lie algebra with respect to the usual Lie bracket, called the projective algebra denoted by p(M,F) and is the Lie algebra of ...
  • Opposite Antipodal Fundamental Solution of Laplace's Equation in Hyperspherical Geometry 
    Cohl, H.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Due to the isotropy of d-dimensional hyperspherical space, one expects there to exist a spherically symmetric opposite antipodal fundamental solution for its corresponding Laplace-Beltrami operator. The R-radius hypersphere ...
  • Orthogonality Relations for Multivariate Krawtchouk Polynomials 
    Mizukawa, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The orthogonality relations of multivariate Krawtchouk polynomials are discussed. In case of two variables, the necessary and sufficient conditions of orthogonality is given by Grünbaum and Rahman in [SIGMA 6 (2010), 090, ...
  • Para-Grassmannian Coherent and Squeezed States for Pseudo-Hermitian q-Oscillator and their Entanglement 
    Maleki, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this paper, q-deformed oscillator for pseudo-Hermitian systems is investigated and pseudo-Hermitian appropriate coherent and squeezed states are studied. Also, some basic properties of these states is surveyed. The ...
  • Periodic and Solitary Wave Solutions of Two Component Zakharov-Yajima-Oikawa System, Using Madelung's Approach 
    Visinescu, A.; Grecu, D.; Fedele, R.; De Nicola, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Using the multiple scales method, the interaction between two bright and one dark solitons is studied. Provided that a long wave-short wave resonance condition is satisfied, the two-component Zakharov-Yajima-Oikawa (ZYO) ...
  • Planarizable Supersymmetric Quantum Toboggans 
    Znojil, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In supersymmetric quantum mechanics the emergence of a singularity may lead to the breakdown of isospectrality between partner potentials. One of the regularization recipes is based on a topologically nontrivial, multisheeted ...
  • Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics 
    Bozhkov, Y.; Olver, P.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We construct identities of Pohozhaev type, in the context of elastostatics and elastodynamics, by using the Noetherian approach. As an application, a non-existence result for forced semi-linear isotropic and anisotropic ...
  • Polynomial Bundles and Generalised Fourier Transforms for Integrable Equations on A.III-type Symmetric Spaces 
    Gerdjikov, V.S.; Grahovski, G.G.; Mikhailov, A.V.; Valchev, T.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A special class of integrable nonlinear differential equations related to A.III-type symmetric spaces and having additional reductions are analyzed via the inverse scattering method (ISM). Using the dressing method we ...
  • Potentials Unbounded Below 
    Curtright, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Continuous interpolates are described for classical dynamical systems defined by discrete time-steps. Functional conjugation methods play a central role in obtaining the interpolations. The interpolates correspond to ...

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