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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • On a Family of 2-Variable Orthogonal Krawtchouk Polynomials 
    Grünbaum, F.A.; Rahman, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We give a hypergeometric proof involving a family of 2-variable Krawtchouk polynomials that were obtained earlier by Hoare and Rahman [SIGMA 4 (2008), 089, 18 pages] as a limit of the 9−j symbols of quantum angular momentum ...
  • On a nonlocal Ostrovsky–Whitham type dynamical system, its Riemann type inhomogeneous regularizations and their integrability 
    Golenia, J.; Pavlov, M.V.; Popowicz, Z.; Prykarpatsky, A.K. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Short-wave perturbations in a relaxing medium, governed by a special reduction of the Ostrovsky evolution equation, and later derived by Whitham, are studied using the gradient-holonomic integrability algorithm. The ...
  • On Classical Dynamics of Affinely-Rigid Bodies Subject to the Kirchhoff-Love Constraints 
    Kovalchuk, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    In this article we consider the affinely-rigid body moving in the three-dimensional physical space and subject to the Kirchhoff-Love constraints, i.e., while it deforms homogeneously in the two-dimensional central plane ...
  • One-Dimensional Vertex Models Associated with a Class of Yangian Invariant Haldane-Shastry Like Spin Chains 
    Basu-Mallick, B.; Bondyopadhaya, N.; Hikami, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We define a class of Y(sl(m|n)) Yangian invariant Haldane-Shastry (HS) like spin chains, by assuming that their partition functions can be written in a particular form in terms of the super Schur polynomials. Using some ...
  • One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative p⁻² U(1) Gauge Model 
    Blaschke, D.N.; Rofner, A.; Sedmik, R.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    This paper carries forward a series of articles describing our enterprise to construct a gauge equivalent for the θ-deformed non-commutative 1 p2 model originally introduced by Gurau et al. [Comm. Math. Phys. 287 (2009), ...
  • On Non-Point Invertible Transformations of Difference and Differential-Difference Equations 
    Startsev, S.Ya. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Non-point invertible transformations are completely described for difference equations on the quad-graph and for their differential-difference analogues. As an illustration, these transformations are used to construct new ...
  • On Quadrirational Yang-Baxter Maps 
    Papageorgiou, V.G.; Suris, Yu.B.; Tongas, A.G.; Veselov, A.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We use the classification of the quadrirational maps given by Adler, Bobenko and Suris to describe when such maps satisfy the Yang-Baxter relation. We show that the corresponding maps can be characterized by certain ...
  • On Special Berwald Metrics 
    Tayebi, A.; Peyghan, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    In this paper, we study a class of Finsler metrics which contains the class of Berwald metrics as a special case. We prove that every Finsler metric in this class is a generalized Douglas-Weyl metric. Then we study isotropic ...
  • On the Existence of a Codimension 1 Completely Integrable Totally Geodesic Distribution on a Pseudo-Riemannian Heisenberg Group 
    Batat, W.; Rahmani, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    In this note we prove that the Heisenberg group with a left-invariant pseudo-Riemannian metric admits a completely integrable totally geodesic distribution of codimension 1. This is on the contrary to the Riemannian case, ...
  • On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory 
    Goursac, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The harmonic term in the scalar field theory on the Moyal space removes the UV-IR mixing, so that the theory is renormalizable to all orders. In this paper, we review the three principal interpretations of this harmonic ...
  • Open/Closed String Topology and Moduli Space Actions via Open/Closed Hochschild Actions 
    Kaufmann, R.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    In this paper we extend our correlation functions to the open/closed case. This gives rise to actions of an open/closed version of the Sullivan PROP as well as an action of the relevant moduli space. There are several ...
  • Ordering of Energy Levels for Extended SU(N) Hubbard Chain 
    Hakobyan, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The Lieb-Mattis theorem on the antiferromagnetic ordering of energy levels is generalized to SU(N) extended Hubbard model with Heisenberg exchange and pair-hopping terms. It is proved that the minimum energy levels among ...
  • Peterson's Deformations of higher dimensional quadrics 
    Dincă, I.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We provide the first explicit examples of deformations of higher dimensional quadrics: a straightforward generalization of Peterson's explicit 1-dimensional family of deformations in C³ of 2-dimensional general quadrics ...
  • Pseudo-Bosons from Landau Levels 
    Bagarello, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We construct examples of pseudo-bosons in two dimensions arising from the Hamiltonian for the Landau levels. We also prove a no-go result showing that non-linear combinations of bosonic creation and annihilation operators ...
  • PT Symmetric Schrödinger Operators: Reality of the Perturbed Eigenvalues 
    Caliceti, E.; Cannata, F.; Graffi, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We prove the reality of the perturbed eigenvalues of some PT symmetric Hamiltonians of physical interest by means of stability methods. In particular we study 2-dimensional generalized harmonic oscillators with polynomial ...
  • q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra Uq(u(n,1)) 
    Asherova, R.M.; Burdík, Č.; Havlíček, M.; Smirnov, Y.F.; Tolstoy, V.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    For the quantum algebra Uq(gl(n+1)) in its reduction on the subalgebra Uq(gl(n)) an explicit description of a Mickelsson-Zhelobenko reduction Z-algebra Zq(gl(n+1),gl(n)) is given in terms of the generators and their defining ...
  • Q-system Cluster Algebras, Paths and Total Positivity 
    di Francesko, P.; Kedem, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    In the first part of this paper, we provide a concise review of our method of solution of the Ar Q-systems in terms of the partition function of paths on a weighted graph. In the second part, we show that it is possible ...
  • Quantum Fields on Noncommutative Spacetimes: Theory and Phenomenology 
    Balachandran, A.P.; Ibort, A.; Marmo, G.; Martone, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    In the present work we review the twisted field construction of quantum field theory on noncommutative spacetimes based on twisted Poincaré invariance. We present the latest development in the field, in particular the ...
  • Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation 
    Kundu, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Applying braided Yang-Baxter equation quantum integrable and Bethe ansatz solvable 1D anyonic lattice and field models are constructed. Along with known models we discover novel lattice anyonic and q-anyonic models as well ...
  • Quantum Isometry Group for Spectral Triples with Real Structure 
    Goswami, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Given a spectral triple of compact type with a real structure in the sense of [Dabrowski L., J. Geom. Phys. 56 (2006), 86-107] (which is a modification of Connes' original definition to accommodate examples coming from ...

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