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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • Singularity Analysis and Integrability of a Burgers-Type System of Foursov 
    Sakovich, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We apply the Painlevé test for integrability of partial differential equations to a system of two coupled Burgers-type equations found by Foursov, which was recently shown by Sergyeyev to possess infinitely many commuting ...
  • Shifted Riccati Procedure: Application to Conformal Barotropic FRW Cosmologies 
    Rosu, H.C.; Khmelnytskaya, K.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In the case of barotropic FRW cosmologies, the Hubble parameter in conformal time is the solution of a simple Riccati equation of constant coefficients. We consider these cosmologies in the framework of nonrelativistic ...
  • Correlation Function and Simplified TBA Equations for XXZ Chain 
    Takahashi, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The calculation of the correlation functions of Bethe ansatz solvable models is very difficult problem. Among these solvable models spin 1/2 XXX chain has been investigated for a long time. Even for this model only the ...
  • A Vertex Operator Approach for Form Factors of Belavin's (Z/nZ)-Symmetric Model and Its Application 
    Quano, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A vertex operator approach for form factors of Belavin's (Z/nZ)-symmetric model is constructed on the basis of bosonization of vertex operators in the An−1⁽¹⁾ model and vertex-face transformation. As simple application for ...
  • Generalized Heisenberg Algebras, SUSYQM and Degeneracies: Infinite Well and Morse Potential 
    Hussin, V.; Marquette, I. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We consider classical and quantum one and two-dimensional systems with ladder operators that satisfy generalized Heisenberg algebras. In the classical case, this construction is related to the existence of closed trajectories. ...
  • An Exactly Solvable Spin Chain Related to Hahn Polynomials 
    Stoilova, N.I.; Van der Jeugt, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We study a linear spin chain which was originally introduced by Shi et al. [Phys. Rev. A 71 (2005), 032309, 5 pages], for which the coupling strength contains a parameter α and depends on the parity of the chain site. ...
  • 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 ...
  • Integration of Cocycles and Lefschetz Number Formulae for Differential Operators 
    Ramadoss, A.C. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Let E be a holomorphic vector bundle on a complex manifold X such that dimCX=n. Given any continuous, basic Hochschild 2n-cocycle ψ2n of the algebra Diffn of formal holomorphic differential operators, one obtains a 2n-form ...
  • 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 ...
  • Entanglement of Grassmannian Coherent States for Multi-Partite n-Level Systems 
    Najarbashi, G.; Maleki, Yu. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this paper, we investigate the entanglement of multi-partite Grassmannian coherent states (GCSs) described by Grassmann numbers for n>2 degree of nilpotency. Choosing an appropriate weight function, we show that it is ...
  • Spin Chains with Non-Diagonal Boundaries and Trigonometric SOS Model with Reflecting End 
    Filali, G.; Kitanine, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this paper we consider two a priori very different problems: construction of the eigenstates of the spin chains with non parallel boundary magnetic fields and computation of the partition function for the trigonometric ...
  • 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 ...
  • Supersymmetric Quantum Mechanics and Painlevé IV Equation 
    Bermudez, David; Fern'andez C., David J. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    As it has been proven, the determination of general one-dimensional Schrödinger Hamiltonians having third-order differential ladder operators requires to solve the Painlevé IV equation. In this work, it will be shown that ...
  • Intertwinors on Functions over the Product of Spheres 
    Hong, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We give explicit formulas for the intertwinors on the scalar functions over the product of spheres with the natural pseudo-Riemannian product metric using the spectrum generating technique. As a consequence, this provides ...
  • Vector-Valued Jack Polynomials from Scratch 
    Dunkl, C.F.; Luque, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Vector-valued Jack polynomials associated to the symmetric group SN are polynomials with multiplicities in an irreducible module of SN and which are simultaneous eigenfunctions of the Cherednik-Dunkl operators with some ...
  • Two Point Correlation Functions for a Periodic Box-Ball System 
    Mada, J.; Tokihiro, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We investigate correlation functions in a periodic box-ball system. For the second and the third nearest neighbor correlation functions, we give explicit formulae obtained by combinatorial methods. A recursion formula for ...
  • 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 ...
  • Dynamical Studies of Equations from the Gambier Family 
    Guha, P.; Ghose Choudhury, A.; Grammaticos, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We consider the hierarchy of higher-order Riccati equations and establish their connection with the Gambier equation. Moreover we investigate the relation of equations of the Gambier family to other nonlinear differential ...
  • Coordinate Bethe Ansatz for Spin s XXX Model 
    Crampé, N.; Ragoucy, E.; Alonzi, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We compute the eigenfunctions and eigenvalues of the periodic integrable spin s XXX model using the coordinate Bethe ansatz. To do so, we compute explicitly the Hamiltonian of the model. These results generalize what has ...
  • Bäcklund Transformations for the Kirchhoff Top 
    Ragnisco, O.; Zullo, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We construct Bäcklund transformations (BTs) for the Kirchhoff top by taking advantage of the common algebraic Poisson structure between this system and the sl(2) trigonometric Gaudin model. Our BTs are integrable maps ...

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