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

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

Сортувати за: Порядок: Результатів:

  • Non-Local Finite-Size Effects in the Dimer Model 
    Izmailian, N.Sh.; Priezzhev, V.B.; Ruelle, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We study the finite-size corrections of the dimer model on ∞ × N square lattice with two different boundary conditions: free and periodic. We find that the finite-size corrections depend in a crucial way on the parity of ...
  • Nonlocal Symmetries and Generation of Solutions for Partial Differential Equations 
    Tychynin, V.; Petrova, O.; Tertyshnyk, O. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We have constructed new formulae for generation of solutions for the nonlinear heat equation and for the Burgers equation that are based on linearizing nonlocal transformations and on nonlocal symmetries of linear equations. ...
  • N-Wave Equations with Orthogonal Algebras: Z₂ and Z₂ × Z₂ Reductions and Soliton Solutions 
    Gerdjikov, V.S.; Kostov, N.A.; Valchev, T.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We consider N-wave type equations related to the orthogonal algebras obtained from the generic ones via additional reductions. The first Z₂-reduction is the canonical one. We impose a second Z₂-reduction and consider also ...
  • On 1-Harmonic Functions 
    Wei, S.W. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Characterizations of entire subsolutions for the 1-harmonic equation of a constant 1-tension field are given with applications in geometry via transformation group theory. In particular, we prove that every level hypersurface ...
  • On Gauss-Bonnet Curvatures 
    Labbi, M.L. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The (2k)-th Gauss-Bonnet curvature is a generalization to higher dimensions of the (2k)-dimensional Gauss-Bonnet integrand, it coincides with the usual scalar curvature for k =1. The Gauss-Bonnet curvatures are used in ...
  • On the Applications of a New Technique to Solve Linear Differential Equations, with and without Source 
    Gurappa, N.; Jha, P.K.; Panigrahi, P.K. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    A general method for solving linear differential equations of arbitrary order, is used to arrive at new representations for the solutions of the known differential equations, both without and with a source term. A new ...
  • On Transformations of the Rabelo Equations 
    Sakovich, A.; Sakovich, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We study four distinct second-order nonlinear equations of Rabelo which describe pseudospherical surfaces. By transforming these equations to the constant-characteristic form we relate them to some well-studied integrable ...
  • Paths and Tableaux Descriptions of Jacobi-Trudi Determinant Associated with Quantum Affine Algebra of Type Cn 
    Nakai, W.; Nakanishi, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We study the Jacobi-Trudi-type determinant which is conjectured to be the q-character of a certain, in many cases irreducible, finite-dimensional representation of the quantum affine algebra of type Cn. Like the Dn case ...
  • Phase Space of Rolling Solutions of the Tippe Top 
    Glad, S.T.; Petersson, D.; Rauch-Wojciechowski, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Equations of motion of an axially symmetric sphere rolling and sliding on a plane are usually taken as model of the tippe top. We study these equations in the nonsliding regime both in the vector notation and in the Euler ...
  • Polynomials Associated with Dihedral Groups 
    Dunkl, C.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    There is a commutative algebra of differential-difference operators, with two parameters, associated to any dihedral group with an even number of reflections. The intertwining operator relates this algebra to the algebra ...
  • q-Boson in Quantum Integrable Systems 
    Kundu, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    q-bosonic realization of the underlying Yang-Baxter algebra is identified for a series of quantum integrable systems, including some new models like two-mode q-bosonic model leading to a coupled two-component derivative ...
  • Q-Curvature, Spectral Invariants, and Representation Theory 
    Branson, T.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We give an introductory account of functional determinants of elliptic operators on manifolds and Polyakov-type formulas for their infinitesimal and finite conformal variations. We relate this to extremal problems and to ...
  • Quadratic Algebra Approach to an Exactly Solvable Position-Dependent Mass Schrödinger Equation in Two Dimensions 
    Quesne, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    An exactly solvable position-dependent mass Schrödinger equation in two dimensions, depicting a particle moving in a semi-infinite layer, is re-examined in the light of recent theories describing superintegrable two-dimensional ...
  • Qualitative Analysis of the Classical and Quantum Manakov Top 
    Sinitsyn, E.; Zhilinskii, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Qualitative features of the Manakov top are discussed for the classical and quantum versions of the problem. Energy-momentum diagram for this integrable classical problem and quantum joint spectrum of two commuting observables ...
  • Quantum Deformations and Superintegrable Motions on Spaces with Variable Curvature 
    Ragnisco, O.; Ballesteros, A.; Herranz, F.J.; Musso, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    An infinite family of quasi-maximally superintegrable Hamiltonians with a common set of (2N-3) integrals of the motion is introduced. The integrability properties of all these Hamiltonians are shown to be a consequence of ...
  • Quantum Gravity: Unification of Principles and Interactions, and Promises of Spectral Geometry 
    Booß-Bavnbek, B.; Esposito, G.; Lesch, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Quantum gravity was born as that branch of modern theoretical physics that tries to unify its guiding principles, i.e., quantum mechanics and general relativity. Nowadays it is providing new insight into the unification ...
  • Quantum Information from Graviton-Matter Gas 
    Glinka, Lukasz-Andrzej (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We present basics of conceptually new-type way for explaining of the origin, evolution and current physical properties of our Universe from the graviton-matter gas viewpoint. Quantization method for the Friedmann-Lemaitre ...
  • Quantum Super-Integrable Systems as Exactly Solvable Models 
    Fordy, A.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We consider some examples of quantum super-integrable systems and the associated nonlinear extensions of Lie algebras. The intimate relationship between super-integrability and exact solvability is illustrated. Eigenfunctions ...
  • Quasi-Exactly Solvable Schrödinger Operators in Three Dimensions 
    Fortin Boisvert, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The main contribution of our paper is to give a partial classification of the quasi-exactly solvable Lie algebras of first order differential operators in three variables, and to show how this can be applied to the ...
  • Raising and Lowering Operators for Askey-Wilson Polynomials 
    Sahi, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    In this paper we describe two pairs of raising/lowering operators for Askey-Wilson polynomials, which result from constructions involving very different techniques. The first technique is quite elementary, and depends only ...

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