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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік за датою випуску

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік за датою випуску

Сортувати за: Порядок: Результатів:

  • The Decomposition of Global Conformal Invariants: Some Technical Proofs. I 
    Alexakis, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    This paper forms part of a larger work where we prove a conjecture of Deser and Schwimmer regarding the algebraic structure of ''global conformal invariants''; these are defined to be conformally invariant integrals of ...
  • Orthogonality Relations for Multivariate Krawtchouk Polynomials 
    Mizukawa, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The orthogonality relations of multivariate Krawtchouk polynomials are discussed. In case of two variables, the necessary and sufficient conditions of orthogonality is given by Grünbaum and Rahman in [SIGMA 6 (2010), 090, ...
  • Beyond the Gaussian 
    Fujii, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this paper we present a non-Gaussian integral based on a cubic polynomial, instead of a quadratic, and give a fundamental formula in terms of its discriminant. It gives a mathematical reinforcement to the recent result ...
  • The Quantum 3D Superparticle 
    Mezincescu, L.; Townsend, P.K. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The minimal (N=1) superparticle in three spacetime dimensions (3D) is quantized. For non-zero mass it describes a spin-1/4 semion supermultiplet of ''relativistic helicities'' (−1/4,1/4). The addition of a parity-violating ...
  • Schrödinger-like Dilaton Gravity 
    Nakayama, Yu (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We investigate possibilities for a Schrödinger-like gravity with the dynamical critical exponent z=2, where the action only contains the first-order time derivative. The Horava gravity always admits such a relevant deformation ...
  • N=4 Multi-Particle Mechanics, WDVV Equation and Roots 
    Lechtenfeld, O.; Schwerdtfeger, K.; Thürigen, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We review the relation of N=4 superconformal multi-particle models on the real line to the WDVV equation and an associated linear equation for two prepotentials, F and U. The superspace treatment gives another variant of ...
  • Introduction to Sporadic Groups 
    Boya, L.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    This is an introduction to finite simple groups, in particular sporadic groups, intended for physicists. After a short review of group theory, we enumerate the 1+1+16=18 families of finite simple groups, as an introduction ...
  • A Bochner Theorem for Dunkl Polynomials 
    Vinet, L.; Zhedanov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We establish an analogue of the Bochner theorem for first order operators of Dunkl type, that is we classify all such operators having polynomial solutions. Under natural conditions it is seen that the only families of ...
  • Harmonic Analysis in One-Parameter Metabelian Nilmanifolds 
    Ghorbel, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Let G be a connected, simply connected one-parameter metabelian nilpotent Lie group, that means, the corresponding Lie algebra has a one-codimensional abelian subalgebra. In this article we show that G contains a discrete ...
  • Supersymmetry Transformations for Delta Potentials 
    David J. Fernández C.; Gadella, M.; Nieto, L.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We make a detailed study of the first and second-order SUSY partners of a one-dimensional free Hamiltonian with a singular perturbation proportional to a Dirac delta function. It is shown that the second-order transformations ...
  • Revisiting the Symmetries of the Quantum Smorodinsky-Winternitz System in D Dimensions 
    Quesne, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The D-dimensional Smorodinsky-Winternitz system, proposed some years ago by Evans, is re-examined from an algebraic viewpoint. It is shown to possess a potential algebra, as well as a dynamical potential one, in addition ...
  • Rational Solutions of the Sasano System of Type A₅⁽²⁾ 
    Matsuda, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this paper, we completely classify the rational solutions of the Sasano system of type A₅⁽²⁾, which is given by the coupled Painlevé III system. This system of differential equations has the affine Weyl group symmetry ...
  • A Recurrence Relation Approach to Higher Order Quantum Superintegrability 
    Kalnins, E.G.; Kress, J.M.; Miller Jr., W. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We develop our method to prove quantum superintegrability of an integrable 2D system, based on recurrence relations obeyed by the eigenfunctions of the system with respect to separable coordinates. We show that the method ...
  • Quantum Integrable Model of an Arrangement of Hyperplanes 
    Varchenko, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The goal of this paper is to give a geometric construction of the Bethe algebra (of Hamiltonians) of a Gaudin model associated to a simple Lie algebra. More precisely, in this paper a quantum integrable model is assigned ...
  • Models of Quadratic Algebras Generated by Superintegrable Systems in 2D 
    Post, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this paper, we consider operator realizations of quadratic algebras generated by second-order superintegrable systems in 2D. At least one such realization is given for each set of Stäckel equivalent systems for both ...
  • Covariant Approach of the Dynamics of Particles in External Gauge Fields, Killing Tensors and Quantum Gravitational Anomalies 
    Visinescu, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We give an overview of the first integrals of motion of particles in the presence of external gauge fields in a covariant Hamiltonian approach. The special role of Stäckel-Killing and Killing-Yano tensors is pointed out. ...
  • First Integrals of Extended Hamiltonians in n+1 Dimensions Generated by Powers of an Operator 
    Chanu, C.; Degiovanni, L.; Rastelli, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We describe a procedure to construct polynomial in the momenta first integrals of arbitrarily high degree for natural Hamiltonians H obtained as one-dimensional extensions of natural (geodesic) n-dimensional Hamiltonians ...
  • Essential Parabolic Structures and Their Infinitesimal Automorphisms 
    Alt, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Using the theory of Weyl structures, we give a natural generalization of the notion of essential conformal structures and conformal Killing fields to arbitrary parabolic geometries. We show that a parabolic structure is ...
  • On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials 
    Koornwinder, T.H. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A limit formula from q-Racah polynomials to big q-Jacobi polynomials is given which can be considered as a limit formula for orthogonal polynomials. This is extended to a multi-parameter limit with 3 parameters, also ...
  • Bäcklund Transformations for the Kirchhoff Top 
    Ragnisco, O.; Zullo, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We construct Bäcklund transformations (BTs) for the Kirchhoff top by taking advantage of the common algebraic Poisson structure between this system and the sl(2) trigonometric Gaudin model. Our BTs are integrable maps ...

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