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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:

  • Binary Darboux Transformations in Bidifferential Calculus and Integrable Reductions of Vacuum Einstein Equations 
    Dimakis, A.; Müller-Hoissen, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We present a general solution-generating result within the bidifferential calculus approach to integrable partial differential and difference equations, based on a binary Darboux-type transformation. This is then applied ...
  • Biorthogonal Expansion of Non-Symmetric Jack Functions 
    Sahi, S.; Zhang, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We find a biorthogonal expansion of the Cayley transform of the non-symmetric Jack functions in terms of the non-symmetric Jack polynomials, the coefficients being Meixner-Pollaczek type polynomials. This is done by computing ...
  • Bipolar Lawson Tau-Surfaces and Generalized Lawson Tau-Surfaces 
    Causley, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Recently Penskoi [J. Geom. Anal. 25 (2015), 2645-2666, arXiv:1308.1628] generalized the well known two-parametric family of Lawson tau-surfaces τr,m minimally immersed in spheres to a three-parametric family Ta,b,c of tori ...
  • Bispectrality of N-Component KP Wave Functions: A Study in Non-Commutativity 
    Kasman, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    A wave function of the N-component KP Hierarchy with continuous flows determined by an invertible matrix H is constructed from the choice of an MN-dimensional space of finitely-supported vector distributions. This wave ...
  • Bispectrality of the Complementary Bannai-Ito Polynomials 
    Genest, V.X.; Vinet, L.; Zhedanov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A one-parameter family of operators that have the complementary Bannai-Ito (CBI) polynomials as eigenfunctions is obtained. The CBI polynomials are the kernel partners of the Bannai-Ito polynomials and also correspond to ...
  • Bôcher and Abstract Contractions of 2nd Order Quadratic Algebras 
    Escobar Ruiz, M.A.; Kalnins, E.G.; Miller Jr., W.; Subag, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Quadratic algebras are generalizations of Lie algebras which include the symmetry algebras of 2nd order superintegrable systems in 2 dimensions as special cases. The superintegrable systems are exactly solvable physical ...
  • Bôcher Contractions of Conformally Superintegrable Laplace Equations 
    Kalnins, E.G.; Miller Jr., Willard; Subag, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    The explicit solvability of quantum superintegrable systems is due to symmetry, but the symmetry is often ''hidden''. The symmetry generators of 2nd order superintegrable systems in 2 dimensions close under commutation to ...
  • Born-Jordan and Weyl Quantizations of the 2D Anisotropic Harmonic Oscillator 
    Rastelli, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We apply the Born-Jordan and Weyl quantization formulas for polynomials in canonical coordinates to the constants of motion of some examples of the superintegrable 2D anisotropic harmonic oscillator. Our aim is to study ...
  • Bosonizations of sl₂ and Integrable Hierarchies 
    Bakalov, B.; Fleisher, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We construct embeddings of sl₂ in lattice vertex algebras by composing the Wakimoto realization with the Friedan-Martinec-Shenker bosonization. The Kac-Wakimoto hierarchy then gives rise to two new hierarchies of integrable, ...
  • Boundaries of Graphs of Harmonic Functions 
    Fox, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Harmonic functions u: Rn → Rm are equivalent to integral manifolds of an exterior differential system with independence condition (M,I,ω). To this system one associates the space of conservation laws C. They provide necessary ...
  • Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials 
    van Diejen, J.F.; Emsiz, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We present a semi-infinite q-boson system endowed with a four-parameter boundary interaction. The n-particle Hamiltonian is diagonalized by generalized Hall-Littlewood polynomials with hyperoctahedral symmetry that arise ...
  • Boundary Liouville Theory: Hamiltonian Description and Quantization 
    Dorn, H.; Jorjadze, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The paper is devoted to the Hamiltonian treatment of classical and quantum properties of Liouville field theory on a timelike strip in 2d Minkowski space. We give a complete description of classical solutions regular in ...
  • Bound State Operators and Wedge-Locality in Integrable Quantum Field Theories 
    Tanimoto, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We consider scalar two-dimensional quantum field theories with a factorizing S-matrix which has poles in the physical strip. In our previous work, we introduced the bound state operators and constructed candidate operators ...
  • Branching Laws for Some Unitary Representations of SL(4,R) 
    Ørsted, B.; Speh, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    In this paper we consider the restriction of a unitary irreducible representation of type Aq(λ) of GL(4,R) to reductive subgroups H which are the fixpoint sets of an involution. We obtain a formula for the restriction to ...
  • Branson's Q-curvature in Riemannian and Spin Geometry 
    Hijazi, O.; Raulot, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    On a closed n-dimensional manifold, n ≥ 5, we compare the three basic conformally covariant operators: the Paneitz-Branson, the Yamabe and the Dirac operator (if the manifold is spin) through their first eigenvalues. On a ...
  • Breaking Pseudo-Rotational Symmetry through H₊² Metric Deformation in the Eckart Potential Problem 
    Leija-Martinez, N.; Alvarez-Castillo, D.E.; Kirchbach, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The peculiarity of the Eckart potential problem on H₊² (the upper sheet of the two-sheeted two-dimensional hyperboloid), to preserve the (2l+1)-fold degeneracy of the states typical for the geodesic motion there, is usually ...
  • Bring's Curve: its Period Matrix and the Vector of Riemann Constants 
    Braden, H.W.; Northover, T.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Bring's curve is the genus 4 Riemann surface with automorphism group of maximal size, S₅. Riera and Rodríguez have provided the most detailed study of the curve thus far via a hyperbolic model. We will recover and extend ...
  • Bruhat Order in the Full Symmetric sln Toda Lattice on Partial Flag Space 
    Chernyakov, Y.B.; Sharygin, G.I.; Sorin, A.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    In our previous paper [Comm. Math. Phys. 330 (2014), 367-399] we described the asymptotic behaviour of trajectories of the full symmetric sln Toda lattice in the case of distinct eigenvalues of the Lax matrix. It turned ...
  • Building Abelian Functions with Generalised Baker-Hirota Operators 
    England, M.; Athorne, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We present a new systematic method to construct Abelian functions on Jacobian varieties of plane, algebraic curves. The main tool used is a symmetric generalisation of the bilinear operator defined in the work of Baker and ...
  • By Magri's Theorem, Self-Dual Gravity is Completely Integrable 
    Nutku, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    By Magri's theorem the bi-Hamiltonian structure of Plebanski's second heavenly equation proves that (anti)-self-dual gravity is a completely integrable system in four dimensions.

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