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Перегляд Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) за назвою

Сортувати за: Порядок: Результатів:

  • Ladder Operators for Lamé Spheroconal Harmonic Polynomials 
    Méndez-Fragoso, R.; Ley-Koo, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Three sets of ladder operators in spheroconal coordinates and their respective actions on Lamé spheroconal harmonic polynomials are presented in this article. The polynomials are common eigenfunctions of the square of the ...
  • Ladder Operators for Quantum Systems Confined by Dihedral Angles 
    Ley-Koo, E.; Sun, G.-H. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We report the identification and construction of raising and lowering operators for the complete eigenfunctions of isotropic harmonic oscillators confined by dihedral angles, in circular cylindrical and spherical coordinates; ...
  • Lagrange Anchor and Characteristic Symmetries of Free Massless Fields 
    Kaparulin, D.S.; Lyakhovich, S.L.; Sharapov, A.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    A Poincaré covariant Lagrange anchor is found for the non-Lagrangian relativistic wave equations of Bargmann and Wigner describing free massless fields of spin s>1/2 in four-dimensional Minkowski space. By making use of ...
  • 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 ...
  • Lagrangian Mechanics and Reduction on Fibered Manifolds 
    Li, S.; Stern, A.; Tang, X. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    This paper develops a generalized formulation of Lagrangian mechanics on fibered manifolds, together with a reduction theory for symmetries corresponding to Lie groupoid actions. As special cases, this theory includes not ...
  • Lagrangian Reduction on Homogeneous Spaces with Advected Parameters 
    Vizman, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We study the Euler-Lagrange equations for a parameter dependent G-invariant Lagrangian on a homogeneous G-space. We consider the pullback of the parameter dependent Lagrangian to the Lie group G, emphasizing the special ...
  • Large-j Expansion Method for Two-Body Dirac Equation 
    Duviryak, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    By using symmetry properties, the two-body Dirac equation in coordinate representation is reduced to the coupled pair of radial second-order differential equations. Then the large-j expansion technique is used to solve a ...
  • Large N Limits in Tensor Models: Towards More Universality Classes of Colored Triangulations in Dimension d ≥ 2 
    Bonzom, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We review an approach which aims at studying discrete (pseudo-)manifolds in dimension d≥2 and called random tensor models. More specifically, we insist on generalizing the two-dimensional notion of p-angulations to higher ...
  • 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 ...
  • Lax Integrable Supersymmetric Hierarchies on Extended Phase Spaces 
    Hentosh, O.Ye. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We obtain via Bäcklund transformation the Hamiltonian representation for a Lax type nonlinear dynamical system hierarchy on a dual space to the Lie algebra of super-integral-differential operators of one anticommuting ...
  • Learning about Quantum Gravity with a Couple of Nodes 
    Borja, E.F.; Garay, I.; Vidotto, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Loop Quantum Gravity provides a natural truncation of the infinite degrees of freedom of gravity, obtained by studying the theory on a given finite graph. We review this procedure and we present the construction of the ...
  • Leibniz Algebras and Lie Algebras 
    Mason, G.; Yamskulna, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    This paper concerns the algebraic structure of finite-dimensional complex Leibniz algebras. In particular, we introduce left central and symmetric Leibniz algebras, and study the poset of Lie subalgebras using an associative ...
  • Lessons from Toy-Models for the Dynamics of Loop Quantum Gravity 
    Bonzom, V.; Laddha, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We review some approaches to the Hamiltonian dynamics of (loop) quantum gravity, the main issues being the regularization of the Hamiltonian and the continuum limit. First, Thiemann's definition of the quantum Hamiltonian ...
  • Level Set Structure of an Integrable Cellular Automaton 
    Takagi, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Based on a group theoretical setting a sort of discrete dynamical system is constructed and applied to a combinatorial dynamical system defined on the set of certain Bethe ansatz related objects known as the rigged ...
  • Levi-Civita's Theorem for Noncommutative Tori 
    Rosenberg, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We show how to define Riemannian metrics and connections on a noncommutative torus in such a way that an analogue of Levi-Civita's theorem on the existence and uniqueness of a Riemannian connection holds. The major novelty ...
  • 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 Algebroids in the Loday-Pirashvili Category 
    Rovi, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We describe Lie-Rinehart algebras in the tensor category LM of linear maps in the sense of Loday and Pirashvili and construct a functor from Lie-Rinehart algebras in LM to Leibniz algebroids.
  • 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 ...
  • Limits of Gaudin Systems: Classical and Quantum Cases 
    Chervov, A.; Falqui, G.; Rybnikov, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We consider the XXX homogeneous Gaudin system with N sites, both in classical and the quantum case. In particular we show that a suitable limiting procedure for letting the poles of its Lax matrix collide can be used to ...

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