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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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, ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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, ...
  • 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 ...
  • 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) ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • Bucataru, I.; Muzsnay, Z. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The projective metrizability problem can be formulated as follows: under what conditions the geodesics of a given spray coincide with the geodesics of some Finsler space, as oriented curves. In Theorem 3.8 we reformulate ...

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