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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • Generalized Deformed Commutation Relations with Nonzero Minimal Uncertainties in Position and/or Momentum and Applications to Quantum Mechanics 
    Quesne, C.; Tkachuk, V.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Two generalizations of Kempf's quadratic canonical commutation relation in one dimension are considered. The first one is the most general quadratic commutation relation. The corresponding nonzero minimal uncertainties in ...
  • Generalized Potts-Models and their Relevance for Gauge Theories 
    Wipf, A.; Heinzl, T.; Kaestner, T.; Wozar, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We study the Polyakov loop dynamics originating from finite-temperature Yang-Mills theory. The effective actions contain center-symmetric terms involving powers of the Polyakov loop, each with its own coupling. For a ...
  • Generating Operator of XXX or Gaudin Transfer Matrices Has Quasi-Exponential Kernel 
    Mukhin, E.; Tarasov, V.; Varchenko, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We show that the difference equation Df = 0 for an M-valued function f has a basis of solutions consisting of quasi-exponentials.
  • Geometric Linearization of Ordinary Differential Equations 
    Qadir, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The linearizability of differential equations was first considered by Lie for scalar second order semi-linear ordinary differential equations. Since then there has been considerable work done on the algebraic classification ...
  • Geometry of Invariant Tori of Certain Integrable Systems with Symmetry and an Application to a Nonholonomic System 
    Fassò, F.; Giacobbe, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Bifibrations, in symplectic geometry called also dual pairs, play a relevant role in the theory of superintegrable Hamiltonian systems. We prove the existence of an analogous bifibrated geometry in dynamical systems with ...
  • Global Stability of Dynamic Systems of High Order 
    Benalili, M.; Lansari, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    This paper deals with global asymptotic stability of prolongations of flows induced by specific vector fields and their prolongations. The method used is based on various estimates of the flows.
  • Hamiltonian Structure of PI Hierarchy 
    Takasaki, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The string equation of type (2,2g+1) may be thought of as a higher order analogue of the first Painlevé equation that corresponds to the case of g = 1. For g > 1, this equation is accompanied with a finite set of commuting ...
  • Hamilton-Jacobi Theory and Moving Frames 
    MacArthur, J.D.; McLenaghan, R.G.; Smirnov, R.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The interplay between the Hamilton-Jacobi theory of orthogonal separation of variables and the theory of group actions is investigated based on concrete examples.
  • Heat Trace Asymptotics on Noncommutative Spaces 
    Vassilevich, D.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    This is a mini-review of the heat kernel expansion for generalized Laplacians on various noncommutative spaces. Applications to the spectral action principle, renormalization of noncommutative theories and anomalies are ...
  • Hidden Symmetries of Stochastic Models 
    Aneva, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    In the matrix product states approach to n species diffusion processes the stationary probability distribution is expressed as a matrix product state with respect to a quadratic algebra determined by the dynamics of the ...
  • Integrability and Diffeomorphisms on Target Space 
    Adam, C.; Sanchez-Guillen, J.; Wereszczynski, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We briefly review the concepts of generalized zero curvature conditions and integrability in higher dimensions, where integrability in this context is related to the existence of infinitely many conservation laws. Under ...
  • KP Trigonometric Solitons and an Adelic Flag Manifold 
    Haine, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We show that the trigonometric solitons of the KP hierarchy enjoy a differential-difference bispectral property, which becomes transparent when translated on two suitable spaces of pairs of matrices satisfying certain rank ...
  • Lagrangian Approach to Dispersionless KdV Hierarchy 
    Choudhuri, A.; Talukdar, B.; Das, U. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We derive a Lagrangian based approach to study the compatible Hamiltonian structure of the dispersionless KdV and supersymmetric KdV hierarchies and claim that our treatment of the problem serves as a very useful supplement ...
  • Lattice Field Theory with the Sign Problem and the Maximum Entropy Method 
    Imachi, M.; Shinno, Y.; Yoneyama, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Although numerical simulation in lattice field theory is one of the most effective tools to study non-perturbative properties of field theories, it faces serious obstacles coming from the sign problem in some theories such ...
  • Laurent Polynomials and Superintegrable Maps 
    Hone, A.N.W. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    This article is dedicated to the memory of Vadim Kuznetsov, and begins with some of the author's recollections of him. Thereafter, a brief review of Somos sequences is provided, with particular focus being made on the ...
  • Lie Algebroids in Classical Mechanics and Optimal Control 
    Martínez, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We review some recent results on the theory of Lagrangian systems on Lie algebroids. In particular we consider the symplectic and variational formalism and we study reduction. Finally we also consider optimal control systems ...
  • Lie Symmetries and Criticality of Semilinear Differential Systems 
    Bozhkov, Y.; Mitidieri, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We discuss the notion of criticality of semilinear differential equations and systems, its relations to scaling transformations and the Noether approach to Pokhozhaev's identities. For this purpose we propose a definition ...
  • Macdonald Polynomials and Multivariable Basic Hypergeometric Series 
    Schlosser, M.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We study Macdonald polynomials from a basic hypergeometric series point of view. In particular, we show that the Pieri formula for Macdonald polynomials and its recently discovered inverse, a recursion formula for Macdonald ...
  • Miscellaneous Applications of Quons 
    Kibler, M.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    This paper deals with quon algebras or deformed oscillator algebras, for which the deformation parameter is a root of unity. We motivate why such algebras are interesting for fractional supersymmetric quantum mechanics, ...
  • Modular Symmetry and Fractional Charges in N = 2 Supersymmetric Yang-Mills and the Quantum Hall Effect 
    Dolan, B.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The parallel rôles of modular symmetry in N = 2 supersymmetric Yang-Mills and in the quantum Hall effect are reviewed. In supersymmetric Yang-Mills theories modular symmetry emerges as a version of Dirac's electric - ...

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