Наукова електронна бібліотека
періодичних видань НАН України

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3 за датою випуску

Сортувати за: Порядок: Результатів:

  • Faster than Hermitian Time Evolution 
    Bender, C.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    For any pair of quantum states, an initial state |Iñ and a final quantum state |Fñ, in a Hilbert space, there are many Hamiltonians H under which |Iñ evolves into |Fñ. Let us impose the constraint that the difference between ...
  • WKB Approximation in Noncommutative Gravity 
    Buric, M.; Madore, J.; Zoupanos, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We consider the quasi-commutative approximation to a noncommutative geometry defined as a generalization of the moving frame formalism. The relation which exists between noncommutativity and geometry is used to study the ...
  • Weakly Nonlocal Hamiltonian Structures: Lie Derivative and Compatibility 
    Sergyeyev, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We show that under certain technical assumptions any weakly nonlocal Hamiltonian structure compatible with a given nondegenerate weakly nonlocal symplectic structure J can be written as the Lie derivative of J −1 along a ...
  • Exact Solutions for Equations of Bose-Fermi Mixtures in One-Dimensional Optical Lattice 
    Kostov, N.A.; Gerdjikov, V.S.; Valchev, T.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We present two new families of stationary solutions for equations of Bose-Fermi mixtures with an elliptic function potential with modulus k. We also discuss particular cases when the quasiperiodic solutions become periodic ...
  • 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 ...
  • Teichmüller Theory of Bordered Surfaces 
    Chekhov, L.O. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We propose the graph description of Teichmüller theory of surfaces with marked points on boundary components (bordered surfaces). Introducing new parameters, we formulate this theory in terms of hyperbolic geometry. We can ...
  • 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 ...
  • 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 ...
  • 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.
  • SU₂ Nonstandard Bases: Case of Mutually Unbiased Bases 
    Albouy, O.; Kibler, M.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    This paper deals with bases in a finite-dimensional Hilbert space. Such a space can be realized as a subspace of the representation space of SU₂ corresponding to an irreducible representation of SU₂. The representation ...
  • 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.
  • Degenerate Series Representations of the q-Deformed Algebra so'q(r,s) 
    Groza, V.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The q-deformed algebra so'q(r,s) is a real form of the q-deformed algebra Uq'(so(n,C)), n = r + s, which differs from the quantum algebra Uq(so(n,C)) of Drinfeld and Jimbo. We study representations of the most degenerate ...
  • A Critical Phenomenon in Solitonic Ising Chains 
    Loutsenko, I.M.; Spiridonov, V.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We discuss a phase transition of the second order taking place in non-local 1D Ising chains generated by specific infinite soliton solutions of the KdV and BKP equations.
  • From su(2) Gaudin Models to Integrable Tops 
    Petrera, M.; Ragnisco, O. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    In the present paper we derive two well-known integrable cases of rigid body dynamics (the Lagrange top and the Clebsch system) performing an algebraic contraction on the two-body Lax matrices governing the (classical) ...
  • 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 ...
  • Differential Invariants of Conformal and Projective Surfaces 
    Hubert, E.; Olver, P.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We show that, for both the conformal and projective groups, all the differential invariants of a generic surface in three-dimensional space can be written as combinations of the invariant derivatives of a single differential ...
  • Conformal Powers of the Laplacian via Stereographic Projection 
    Graham, C.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    A new derivation is given of Branson's factorization formula for the conformally invariant operator on the sphere whose principal part is the k-th power of the scalar Laplacian. The derivation deduces Branson's formula ...
  • Dimensional Reduction of Conformal Tensors and Einstein-Weyl Spaces 
    Jackiw, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Conformal Weyl and Cotton tensors are dimensionally reduced by a Kaluza-Klein procedure. Explicit formulas are given for reducing from four and three dimensions to three and two dimensions, respectively. When the higher ...
  • 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 ...
  • 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 ...

Пошук


Розширений пошук

Перегляд

Мій обліковий запис