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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • A Canonical Trace Associated with Certain Spectral Triples 
    Paycha, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    In the abstract pseudodifferential setup of Connes and Moscovici, we prove a general formula for the discrepancies of zeta-regularised traces associated with certain spectral triples, and we introduce a canonical trace on ...
  • A Euclidean Geometric Invariant of Framed (Un)Knots in Manifolds 
    Dubois, J.; Korepanov, I.G.; Martyushev, E.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We present an invariant of a three-dimensional manifold with a framed knot in it based on the Reidemeister torsion of an acyclic complex of Euclidean geometric origin. To show its nontriviality, we calculate the invariant ...
  • A Family of Exactly Solvable Radial Quantum Systems on Space of Non-Constant Curvature with Accidental Degeneracy in the Spectrum 
    Ragnisco, O.; Riglioni, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    A novel family of exactly solvable quantum systems on curved space is presented. The family is the quantum version of the classical Perlick family, which comprises all maximally superintegrable 3-dimensional Hamiltonian ...
  • Algebraic Properties of Curvature Operators in Lorentzian Manifolds with Large Isometry Groups 
    Calvaruso, G.; García-Río, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Together with spaces of constant sectional curvature and products of a real line with a manifold of constant curvature, the socalled Egorov spaces and ε-spaces exhaust the class of n-dimensional Lorentzian manifolds ...
  • Anharmonic Oscillators with Infinitely Many Real Eigenvalues and PT-Symmetry 
    Shin, K.C. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We study the eigenvalue problem −u''+V(z)u=λu in the complex plane with the boundary condition that u(z) decays to zero as z tends to infinity along the two rays arg z=−π/2± 2π/(m+2), where V(z)=−(iz)m−P(iz) for complex-valued ...
  • A Note on Dirac Operators on the Quantum Punctured Disk 
    Klimek, S.; McBride, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We study quantum analogs of the Dirac type operator −2z∂/∂z on the punctured disk, subject to the Atiyah-Patodi-Singer boundary conditions. We construct a parametrix of the quantum operator and show that it is bounded ...
  • A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function n+1Fn 
    Suzuki, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    In a recent work, we proposed the coupled Painlevé VI system with A2n+1⁽¹⁾-symmetry, which is a higher order generalization of the sixth Painlevé equation (PVI). In this article, we present its particular solution expressed ...
  • Archimedean atomic lattice effect algebras with complete lattice of sharp elements 
    Riecanova, Z. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We study Archimedean atomic lattice effect algebras whose set of sharp elements is a complete lattice. We show properties of centers, compatibility centers and central atoms of such lattice ef fect algebras. Moreover, we ...
  • Archimedean Atomic Lattice Effect Algebras with Complete Lattice of Sharp Elements 
    Riecanová, Z. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We study Archimedean atomic lattice effect algebras whose set of sharp elements is a complete lattice. We show properties of centers, compatibility centers and central atoms of such lattice effect algebras. Moreover, we ...
  • A View on Optimal Transport from Noncommutative Geometry 
    D'Andrea, F.; Martinetti, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We discuss the relation between the Wasserstein distance of order 1 between probability distributions on a metric space, arising in the study of Monge-Kantorovich transport problem, and the spectral distance of noncommutative ...
  • Bäcklund Transformations for the Trigonometric Gaudin Magnet 
    Ragnisco, O.; Zullo, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We construct a Bäcklund transformation for the trigonometric classical Gaudin magnet starting from the Lax representation of the model. The Darboux dressing matrix obtained depends just on one set of variables because of ...
  • Baker-Akhiezer Modules on Rational Varieties 
    Melnik, I.A.; Mironov, A.E. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The free Baker-Akhiezer modules on rational varieties obtained from CP¹×CPⁿ⁻¹ by identification of two hypersurfaces are constructed. The corollary of this construction is the existence of embedding of meromorphic function ...
  • Balanced Metrics and Noncommutative Kähler Geometry 
    Lukic, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    In this paper we show how Einstein metrics are naturally described using the quantization of the algebra of functions C∞(M) on a Kähler manifold M. In this setup one interprets M as the phase space itself, equipped with ...
  • Bethe Ansatz, Inverse Scattering Transform and Tropical Riemann Theta Function in a Periodic Soliton Cellular Automaton for An⁽¹⁾ 
    Kuniba, A.; Takagi, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We study an integrable vertex model with a periodic boundary condition associated with Uq(An⁽¹⁾ at the crystallizing point q=0. It is an (n+1)-state cellular automaton describing the factorized scattering of solitons. The ...
  • Bidifferential Calculus Approach to AKNS Hierarchies and Their Solutions 
    Dimakis, A.; Müller-Hoissen, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We express AKNS hierarchies, admitting reductions to matrix NLS and matrix mKdV hierarchies, in terms of a bidifferential graded algebra. Application of a universal result in this framework quickly generates an infinite ...
  • Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors 
    Nastase, H.; Papageorgakis, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We review our construction of a bifundamental version of the fuzzy 2-sphere and its relation to fuzzy Killing spinors, first obtained in the context of the ABJM membrane model. This is shown to be completely equivalent to ...
  • C-Integrability Test for Discrete Equations via Multiple Scale Expansions 
    Scimiterna, C.; Levi, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    In this paper, we are extending the well-known integrability theorems obtained by multiple scale techniques to the case of linearizable difference equations. As an example, we apply the theory to the case of a differenti ...
  • Classical Particle in Presence of Magnetic Field, Hyperbolic Lobachevsky and Spherical Riemann Models 
    Kudryashov, V.V.; Kurochkin, Yu.A.; Ovsiyuk, E.M.; Red'kov, V.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Motion of a classical particle in 3-dimensional Lobachevsky and Riemann spaces is studied in the presence of an external magnetic field which is analogous to a constant uniform magnetic field in Euclidean space. In both ...
  • Cosmological Symmetry Breaking and Generation of Electromagnetic Field 
    Nagasawa, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Cosmological phase transitions accompanied by some kind of symmetry breaking would cause the creation of topological defects and the resulting production of primordial magnetic field. Moreover, such a procedure inevitably ...
  • Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems 
    Nakanishi, T.; Tateo, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We study the family of Y-systems and T-systems associated with the sine-Gordon models and the reduced sine-Gordon models for the parameter of continued fractions with two terms. We formulate these systems by cluster algebras, ...

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