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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2 за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2 за назвою

Сортувати за: Порядок: Результатів:

  • A Banach Principle for Semifinite von Neumann Algebras 
    Chilin, V.; Litvinov, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    Utilizing the notion of uniform equicontinuity for sequences of functions with the values in the space of measurable operators, we present a non-commutative version of the Banach Principle for L∞.
  • A Dual Mesh Method for a Non-Local Thermistor Problem 
    Abderrahmane El Hachimi; Moulay Rchid Sidi Ammi; Delfim F.M. Torres (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We use a dual mesh numerical method to study a non-local parabolic problem arising from the well-known thermistor problem.
  • A formula for the logarithm of the KZ associator 
    Enriquez, B.; Gavarini, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We prove that the logarithm of a group-like element in a free algebra coincides with its image by a certain linear map. We use this result and the formula of Le and Murakami for the Knizhnik-Zamolodchikov (KZ) associator ...
  • A New Form of the Spherical Expansion of Zonal Functions and Fourier Transforms of SO(d)-Finite Functions 
    Bezubik, A.; Strasburger, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    This paper presents recent results obtained by the authors (partly in collaboration with A. Dabrowska) concerning expansions of zonal functions on Euclidean spheres into spherical harmonics and some applications of such ...
  • Anomalously Slow Cross Symmetry Phase Relaxation, Thermalized Non-Equilibrated Matter and Quantum Computing Beyond the Quantum Chaos Border 
    Bienert, M.; Flores, J.; Kun, S.Yu.; Seligman, T.H. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    Thermalization in highly excited quantum many-body system does not necessarily mean a complete memory loss of the way the system was formed. This effect may pave a way for a quantum computing, with a large number of qubits ...
  • Application of the Gel'fand Matrix Method to the Missing Label Problem in Classical Kinematical Lie Algebras 
    Campoamor-Stursberg, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We briefly review a matrix based method to compute the Casimir operators of Lie algebras, mainly certain type of contractions of simple Lie algebras. The versatility of the method is illustrated by constructing matrices ...
  • Applications of Symmetry Methods to the Theory of Plasma Physics 
    Cicogna, G.; Ceccherini, F.; Pegoraro, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The theory of plasma physics offers a number of nontrivial examples of partial differential equations, which can be successfully treated with symmetry methods. We propose three different examples which may illustrate the ...
  • A q-analogue of the centralizer construction and skew representations of the quantum Affine algebra 
    Hopkins, M.J.; Molev, A.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We prove an analogue of the Sylvester theorem for the generator matrices of the quantum affine algebra Uq(gln). We then use it to give an explicit realization of the skew representations of the quantum affine algebra. This ...
  • Auger Spectra and Different Ionic Charges Following 3s, 3p and 3d Sub-Shells Photoionization of Kr Atoms 
    Lotfy, Y.A; El-Shemi, A.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The decay of inner-shell vacancy in an atom through radiative and non-radiative transitions leads to final charged ions. The de-excitation decay of 3s, 3p and 3d vacancies in Kr atoms are calculated using Monte-Carlo ...
  • Bethe ansatz solutions of the Bose-Hubbard dimer 
    Links, J.; Hibberd, K.E. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The Bose-Hubbard dimer Hamiltonian is a simple yet effective model for describing tunneling phenomena of Bose-Einstein condensates. One of the significant mathematical properties of the model is that it can be exactly ...
  • Calogero Model(s) and Deformed Oscillators 
    Milekovic, M.; Meljanac, S.; Samsarov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We briefly review some recent results concerning algebraical (oscillator) aspects of the N-body single-species and multispecies Calogero models in one dimension. We show how these models emerge from the matrix generalization ...
  • Combined Analysis of Two- and Three-Particle Correlations in q,p-Bose Gas Model 
    Gavrilik, A.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    q-deformed oscillators and the q-Bose gas model enable effective description of the observed non-Bose type behavior of the intercept (''strength'') λ⁽²⁾ ≡ C⁽²⁾(K,K) - 1 of two-particle correlation function C⁽²⁾(p1,p2) of ...
  • Combined Reduced-Rank Transform 
    Torokhti, A.; Howlett, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We propose and justify a new approach to constructing optimal nonlinear transforms of random vectors. We show that the proposed transform improves such characteristics of rank-reduced transforms as compression ratio, ...
  • Consequences of Symmetries on the Analysis and Construction of Turbulence Models 
    Razafindralandy, D.; Hamdouni, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    Since they represent fundamental physical properties in turbulence (conservation laws, wall laws, Kolmogorov energy spectrum, ...), symmetries are used to analyse common turbulence models. A class of symmetry preserving ...
  • Constructing Soliton and Kink Solutions of PDE Models in Transport and Biology 
    Vladimirov, V.A.; Kutafina, E.V.; Pudelko, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We present a review of our recent works directed towards discovery of a periodic, kink-like and soliton-like travelling wave solutions within the models of transport phenomena and the mathematical biology. Analytical ...
  • Coupled Modified KP Hierarchy and Its Dispersionless Limit 
    Takebe, T.; Teo, Lee-Peng (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We define the coupled modified KP hierarchy and its dispersionless limit. This integrable hierarchy is a generalization of the ''half'' of the Toda lattice hierarchy as well as an extension of the mKP hierarchy. The solutions ...
  • Dirichlet and Neumann Problems for String Equation, Poncelet Problem and Pell-Abel Equation 
    Burskii, V.P.; Zhedanov, A.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We consider conditions for uniqueness of the solution of the Dirichlet or the Neumann problem for 2-dimensional wave equation inside of bi-quadratic algebraic curve. We show that the solution is non-trivial if and only if ...
  • Dispersionless Hirota Equations of Two-Component BKP Hierarchy 
    Takasaki, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The BKP hierarchy has a two-component analogue (the 2-BKP hierarchy). Dispersionless limit of this multi-component hierarchy is considered on the level of the τ-function. The so called dispersionless Hirota equations are ...
  • Duality-Symmetric Approach to General Relativity and Supergravity 
    Nurmagambetov, A.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We review the application of a duality-symmetric approach to gravity and supergravity with emphasizing benefits and disadvantages of the formulation. Contents of these notes includes: 1) Introduction with putting the accent ...
  • Dynamical R matrices of elliptic quantum groups and connection matrices for the q-KZ equations 
    Konno, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    For any affine Lie algebra g, we show that any finite dimensional representation of the universal dynamical R matrix R(λ) of the elliptic quantum group Bq,λ(g) coincides with a corresponding connection matrix for the ...

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