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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:

  • Classification of Non-Affine Non-Hecke Dynamical R-Matrices 
    Avan, J.; Billaud, B.; Rollet, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    A complete classification of non-affine dynamical quantum R-matrices obeying the Gln(C)-Gervais-Neveu-Felder equation is obtained without assuming either Hecke or weak Hecke conditions. More general dynamical dependences ...
  • Classification of Traces and Associated Determinants on Odd-Class Operators in Odd Dimensions 
    Neira Jimenez, Carolina; Ouedraogo, Marie-Françoise (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    To supplement the already known classification of traces on classical pseudodifferential operators, we present a classification of traces on the algebras of odd-class pseudodifferential operators of non-positive order ...
  • Clifford Algebra Derivations of Tau-Functions for Two-Dimensional Integrable Models with Positive and Negative Flows 
    Aratyn, H.; van de Leur, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We use a Grassmannian framework to define multi-component tau functions as expectation values of certain multi-component Fermi operators satisfying simple bilinear commutation relations on Clifford algebra. The tau functions ...
  • Clifford Algebras and Possible Kinematics 
    McRae, A.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We review Bacry and Lévy-Leblond's work on possible kinematics as applied to 2-dimensional spacetimes, as well as the nine types of 2-dimensional Cayley-Klein geometries, illustrating how the Cayley-Klein geometries give ...
  • Clifford Fibrations and Possible Kinematics 
    McRae, A.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Following Herranz and Santander [Herranz F.J., Santander M., Mem. Real Acad. Cienc. Exact. Fis. Natur. Madrid 32 (1998), 59-84, physics/9702030] we will construct homogeneous spaces based on possible kinematical algebras ...
  • Cluster Variables on Certain Double Bruhat Cells of Type (u,e) and Monomial Realizations of Crystal Bases of Type A 
    Kanakubo, Y.; Nakashima, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Let G be a simply connected simple algebraic group over C, B and B− be two opposite Borel subgroups in G and W be the Weyl group. For u, v∈W, it is known that the coordinate ring C[Gu,v] of the double Bruhat cell Gu,v=BuB∩B−vB− ...
  • Coherent States for Tremblay-Turbiner-Winternitz Potential 
    Sucu, Y.; Unal, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    In this study, we construct the coherent states for a particle in the Tremblay-Turbiner-Winternitz potential by finding the conserved charge coherent states of the four harmonic oscillators in the polar coordinates. We ...
  • Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results 
    Bossé, E.-O.; Vinet, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The analytic specifications of photonic lattices with fractional revival (FR) and perfect state transfer (PST) are reviewed. The approach to their design which is based on orthogonal polynomials is highlighted. A compendium ...
  • Cohomology of the Moduli Space of Rank Two, Odd Degree Vector Bundles over a Real Curve 
    Baird, T.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We consider the moduli space of rank two, odd degree, semi-stable Real vector bundles over a real curve, calculating the singular cohomology ring in odd and zero characteristic for most examples.
  • (Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces 
    Lorand, J.; Weinstein, А. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We give two equivalent sets of invariants which classify pairs of coisotropic subspaces of finite-dimensional Poisson vector spaces. For this it is convenient to dualize; we work with pairs of isotropic subspaces of ...
  • Colored Tensor Models - a Review 
    Gurau, R.; Ryan, J.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Colored tensor models have recently burst onto the scene as a promising conceptual and computational tool in the investigation of problems of random geometry in dimension three and higher. We present a snapshot of the ...
  • Combinatorial Formulae for Nested Bethe Vectors 
    Tarasov, V.; Varchenko, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We give combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for tensor products of irreducible evaluation modules over the Yangian Y(glN) and the quantum affine algebra Uq(glN˜).
  • Combined Analysis of Two- and Three-Particle Correlations in q,p-Bose Gas Model 
    Gavrilik, A.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    q-deformed oscillators and the q-Bose gas model enable effective description of the observed non-Bose type behavior of the intercept (''strength'') λ⁽²⁾ ≡ C⁽²⁾(K,K) - 1 of two-particle correlation function C⁽²⁾(p1,p2) of ...
  • Combined Reduced-Rank Transform 
    Torokhti, A.; Howlett, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We propose and justify a new approach to constructing optimal nonlinear transforms of random vectors. We show that the proposed transform improves such characteristics of rank-reduced transforms as compression ratio, ...
  • Comment on ''Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty'' 
    Bagchi, B.; Fring, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We demonstrate that the recent paper by Jana and Roy entitled ''Non-Hermitian quantum mechanics with minimal length uncertainty'' [SIGMA 5 (2009), 083, 7 pages, arXiv:0908.1755] contains various misconceptions. We compare ...
  • Comments on the Dynamics of the Pais-Uhlenbeck Oscillator 
    Smilga, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We discuss the quantum dynamics of the PU oscillator, i.e. the system with the Lagrangian L = ½ [ ¨q² - (Ω₁² + Ω₂²) ·q² + Ω₁²Ω₂²q ] (+ nonlinear terms). When Ω₁ ≠ Ω₂, the free PU oscillator has a pure point spectrum ...
  • Commutation Relations and Discrete Garnier Systems 
    Ormerod, C.M.; Rains, E.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We present four classes of nonlinear systems which may be considered discrete analogues of the Garnier system. These systems arise as discrete isomonodromic deformations of systems of linear difference equations in which ...
  • Commutative Families of the Elliptic Macdonald Operator 
    Saito, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    In the paper [J. Math. Phys. 50 (2009), 095215, 42 pages], Feigin, Hashizume, Hoshino, Shiraishi, and Yanagida constructed two families of commuting operators which contain the Macdonald operator (commutative families of ...
  • Commuting Differential Operators of Rank 3 Associated to a Curve of Genus 2 
    Zuo, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    In this paper, we construct some examples of commuting differential operators L₁ and L₂ with rational coefficients of rank 3 corresponding to a curve of genus 2.
  • Compact Riemannian Manifolds with Homogeneous Geodesics 
    Alekseevsky, D.V.; Nikonorov, Y.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    A homogeneous Riemannian space (M = G/H,g) is called a geodesic orbit space (shortly, GO-space) if any geodesic is an orbit of one-parameter subgroup of the isometry group G. We study the structure of compact GO-spaces and ...

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