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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:

  • 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 ...
  • Balance Systems and the Variational Bicomplex 
    Preston, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this work we show that the systems of balance equations (balance systems) of continuum thermodynamics occupy a natural place in the variational bicomplex formalism. We apply the vertical homotopy decomposition to get a ...
  • Beyond the Gaussian 
    Fujii, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this paper we present a non-Gaussian integral based on a cubic polynomial, instead of a quadratic, and give a fundamental formula in terms of its discriminant. It gives a mathematical reinforcement to the recent result ...
  • Breaking Pseudo-Rotational Symmetry through H₊² Metric Deformation in the Eckart Potential Problem 
    Leija-Martinez, N.; Alvarez-Castillo, D.E.; Kirchbach, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The peculiarity of the Eckart potential problem on H₊² (the upper sheet of the two-sheeted two-dimensional hyperboloid), to preserve the (2l+1)-fold degeneracy of the states typical for the geodesic motion there, is usually ...
  • Classical and Quantum Dilogarithm Identities 
    Kashaev, R.M.; Nakanishi, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Using the quantum cluster algebra formalism of Fock and Goncharov, we present several forms of quantum dilogarithm identities associated with periodicities in quantum cluster algebras, namely, the tropical, universal, and ...
  • Classical and Quantum Dynamics on Orbifolds 
    Kordyukov, Y.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We present two versions of the Egorov theorem for orbifolds. The first one is a straightforward extension of the classical theorem for smooth manifolds. The second one considers an orbifold as a singular manifold, the orbit ...
  • Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on S²×S³ 
    Boyer, C.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    I begin by giving a general discussion of completely integrable Hamiltonian systems in the setting of contact geometry. We then pass to the particular case of toric contact structures on the manifold S²×S³. In particular ...
  • 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 ...
  • 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 ...
  • Covariant Approach of the Dynamics of Particles in External Gauge Fields, Killing Tensors and Quantum Gravitational Anomalies 
    Visinescu, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We give an overview of the first integrals of motion of particles in the presence of external gauge fields in a covariant Hamiltonian approach. The special role of Stäckel-Killing and Killing-Yano tensors is pointed out. ...
  • Discrete-Time Goldfishing 
    Calogero, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The original continuous-time ''goldfish'' dynamical system is characterized by two neat formulas, the first of which provides the N Newtonian equations of motion of this dynamical system, while the second provides the ...
  • Dolbeault Complex on S⁴\{·} and S⁶\{·} through Supersymmetric Glasses 
    Smilga, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    S⁴ is not a complex manifold, but it is sufficient to remove one point to make it complex. Using supersymmetry methods, we show that the Dolbeault complex (involving the holomorphic exterior derivative ∂ and its Hermitian ...
  • 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 ...
  • Emergent Supersymmetry in Warped Backgrounds 
    Nagasawa, T.; Ohya, S.; Sakamoto, K.; Sakamoto, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We show that quantum mechanical supersymmetries are emerged in Kaluza-Klein spectrum of linearized gravity in several warped backgrounds as a consequence of higher-dimensional general coordinate invariance. These emergent ...
  • 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 ...
  • Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter 
    Montesinos, M.; Velázquez, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A detailed analysis of the BF formulation for general relativity given by Capovilla, Montesinos, Prieto, and Rojas is performed. The action principle of this formulation is written in an equivalent form by doing a ...
  • Essential Parabolic Structures and Their Infinitesimal Automorphisms 
    Alt, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Using the theory of Weyl structures, we give a natural generalization of the notion of essential conformal structures and conformal Killing fields to arbitrary parabolic geometries. We show that a parabolic structure is ...
  • Exact Solutions of Nonlinear Partial Differential Equations by the Method of Group Foliation Reduction 
    Anco, S.C.; Ali, S.; Wolf, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A novel symmetry method for finding exact solutions to nonlinear PDEs is illustrated by applying it to a semilinear reaction-diffusion equation in multi-dimensions. The method uses a separation ansatz to solve an equivalent ...
  • Exact Solutions of Nonlinear Partial Differential Equations by the Method of Group Foliation Reduction 
    Anco, S.C.; Ali, S.; Wolf, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A novel symmetry method for finding exact solutions to nonlinear PDEs is illustrated by applying it to a semilinear reaction-diffusion equation in multi-dimensions. The method uses a separation ansatz to solve an equivalent ...
  • Exact Solutions with Two Parameters for an Ultradiscrete Painlevé Equation of Type A₆⁽¹⁾ 
    Murata, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    An ultradiscrete system corresponding to the q-Painlevé equation of type A₆⁽¹⁾, which is a q-difference analogue of the second Painlevé equation, is proposed. Exact solutions with two parameters are constructed for the ...

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