Наукова електронна бібліотека
періодичних видань НАН України

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:

  • Weil Representation of a Generalized Linear Group over a Ring of Truncated Polynomials over a Finite Field Endowed with a Second Class Involution 
    Gutiérrez Frez, L.; Pantoja, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We construct a complex linear Weil representation ρ of the generalized special linear group G=SL¹∗(2,An) (An=K[x]/⟨xⁿ⟩, K the quadratic extension of the finite field k of q elements, q odd), where An is endowed with a ...
  • Werner's Measure on Self-Avoiding Loops and Welding 
    Chavez, A.; Pickrell, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Werner's conformally invariant family of measures on self-avoiding loops on Riemann surfaces is determined by a single measure μ0 on self-avoiding loops in C∖{0} which surround 0. Our first major objective is to show that ...
  • Whitham's Method and Dubrovin-Novikov Bracket in Single-Phase and Multiphase Cases 
    Maltsev, A.Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    In this paper we examine in detail the procedure of averaging of the local field-theoretic Poisson brackets proposed by B.A. Dubrovin and S.P. Novikov for the method of Whitham. The main attention is paid to the questions ...
  • Who's Afraid of the Hill Boundary? 
    Montgomery, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    The Jacobi-Maupertuis metric allows one to reformulate Newton's equations as geodesic equations for a Riemannian metric which degenerates at the Hill boundary. We prove that a JM geodesic which comes sufficiently close to ...
  • Why Do the Relativistic Masses and Momenta of Faster-than-Light Particles Decrease as their Speeds Increase? 
    Madarász, J.X.; Stannett, M.; Székely, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    It has recently been shown within a formal axiomatic framework using a definition of four-momentum based on the Stückelberg-Feynman-Sudarshan-Recami ''switching principle'' that Einstein's relativistic dynamics is logically ...
  • Wigner Distribution Functions and the Representation of Canonical Transformations in Time-Dependent Quantum Mechanics 
    Schuch, D.; Moshinsky, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    For classical canonical transformations, one can, using the Wigner transformation, pass from their representation in Hilbert space to a kernel in phase space. In this paper it will be discussed how the time-dependence of ...
  • Wigner Quantization of Hamiltonians Describing Harmonic Oscillators Coupled by a General Interaction Matri 
    Regniers, G.; Van der Jeugt, Joris (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In a system of coupled harmonic oscillators, the interaction can be represented by a real, symmetric and positive definite interaction matrix. The quantization of a Hamiltonian describing such a system has been done in the ...
  • 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 ...
  • Wong's Equations and Charged Relativistic Particles in Non-Commutative Space 
    Balasin, H.; Blaschke, D.N.; Gieres, F.; Schweda, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    In analogy to Wong's equations describing the motion of a charged relativistic point particle in the presence of an external Yang-Mills field, we discuss the motion of such a particle in non-commutative space subject to ...
  • Yang-Baxter Maps from the Discrete BKP Equation 
    Kakei, S.; Nimmo, J; Willox, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We construct rational and piecewise-linear Yang–Baxter maps for a general N-reduction of the discrete BKP equation.
  • Yangian of the Strange Lie Superalgebra of Qn₋₁ Type, Drinfel'd Approach 
    Stukopin, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The Yangian of the strange Lie superalgebras in Drinfel'd realization is defined. The current system generators and defining relations are described.
  • Zamolodchikov Tetrahedral Equation and Higher Hamiltonians of 2d Quantum Integrable Systems 
    Talalaev, D.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The main aim of this work is to develop a method of constructing higher Hamiltonians of quantum integrable systems associated with the solution of the Zamolodchikov tetrahedral equation. As opposed to the result of V.V. ...
  • Zero Action on Perfect Crystals for Uq(G₂⁽¹⁾) 
    Misra, K.C.; Mohamad, M.; Okado, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The actions of 0-Kashiwara operators on the Uq'(GG₂⁽¹⁾)-crystal Bl in [Yamane S., J. Algebra 210 (1998), 440-486] are made explicit by using a similarity technique from that of a Uq'(D₄⁽³⁾)-crystal. It is shown that {Bl}l ...
  • Zero Range Process and Multi-Dimensional Random Walks 
    Bogoliubov, N.M.; Malyshev, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The special limit of the totally asymmetric zero range process of the low-dimensional non-equilibrium statistical mechanics described by the non-Hermitian Hamiltonian is considered. The calculation of the conditional ...
  • Zeros of Quasi-Orthogonal Jacobi Polynomials 
    Driver, K.; Jordaan, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We consider interlacing properties satisfied by the zeros of Jacobi polynomials in quasi-orthogonal sequences characterised by α>−1, −2<β<−1. We give necessary and sufficient conditions under which a conjecture by Askey, ...
  • Zeta Functions of Monomial Deformations of Delsarte Hypersurfaces 
    Kloosterman, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Let Xλ and X′λ be monomial deformations of two Delsarte hypersurfaces in weighted projective spaces. In this paper we give a sufficient condition so that their zeta functions have a common factor. This generalises results ...
  • Zhedanov's Algebra AW(3) and the Double Affine Hecke Algebra in the Rank One Case. II. The Spherical Subalgebra 
    Koornwinder, T.H. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    This paper builds on the previous paper by the author, where a relationship between Zhedanov's algebra AW(3) and the double affine Hecke algebra (DAHA) corresponding to the Askey-Wilson polynomials was established. It is ...
  • κ-Deformations and extended κ-Minkowski spacetimes 
    Borowiec, A.; Pachoł, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We extend our previous study of Hopf-algebraic κ-deformations of all inhomogeneous orthogonal Lie algebras iso(g) as written in a tensorial and unified form. Such deformations are determined by a vector τ which for Lorentzian ...
  • κ-Deformed Phase Space, Hopf Algebroid and Twisting 
    Jurić, T.; Kovačević, D.; Meljanac, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Hopf algebroid structures on the Weyl algebra (phase space) are presented. We define the coproduct for the Weyl generators from Leibniz rule. The codomain of the coproduct is modified in order to obtain an algebra structure. ...
  • κ-Minkowski Spacetimes and DSR Algebras: Fresh Look and Old Problems 
    Borowiec, A.; Pachol, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Some classes of Deformed Special Relativity (DSR) theories are reconsidered within the Hopf algebraic formulation. For this purpose we shall explore a minimal framework of deformed Weyl-Heisenberg algebras provided by a ...

Пошук


Розширений пошук

Перегляд

Мій обліковий запис