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

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

Сортувати за: Порядок: Результатів:

  • Generalized Heisenberg Algebras, SUSYQM and Degeneracies: Infinite Well and Morse Potential 
    Hussin, V.; Marquette, I. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We consider classical and quantum one and two-dimensional systems with ladder operators that satisfy generalized Heisenberg algebras. In the classical case, this construction is related to the existence of closed trajectories. ...
  • 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 ...
  • Harmonic Analysis on Quantum Complex Hyperbolic Spaces 
    Bershtein, O.; Kolisnyk, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this paper we obtain some results of harmonic analysis on quantum complex hyperbolic spaces. We introduce a quantum analog for the Laplace-Beltrami operator and its radial part. The latter appear to be second order ...
  • Harmonic Superfields in N=4 Supersymmetric Quantum Mechanics 
    Ivanov, E.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    This is a brief survey of applications of the harmonic superspace methods to the models of N=4 supersymmetric quantum mechanics (SQM). The main focus is on a recent progress in constructing SQM models with couplings to the ...
  • Holomorphic Parabolic Geometries and Calabi-Yau Manifolds 
    McKay, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We prove that the only complex parabolic geometries on Calabi-Yau manifolds are the homogeneous geometries on complex tori. We also classify the complex parabolic geometries on homogeneous compact Kähler manifolds.
  • Integration of Cocycles and Lefschetz Number Formulae for Differential Operators 
    Ramadoss, A.C. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Let E be a holomorphic vector bundle on a complex manifold X such that dimCX=n. Given any continuous, basic Hochschild 2n-cocycle ψ2n of the algebra Diffn of formal holomorphic differential operators, one obtains a 2n-form ...
  • Intertwinors on Functions over the Product of Spheres 
    Hong, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We give explicit formulas for the intertwinors on the scalar functions over the product of spheres with the natural pseudo-Riemannian product metric using the spectrum generating technique. As a consequence, this provides ...
  • 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 ...
  • Klein Topological Field Theories from Group Representations 
    Loktev, S.A.; Natanzon, S.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We show that any complex (respectively real) representation of finite group naturally generates a open-closed (respectively Klein) topological field theory over complex numbers. We relate the 1-point correlator for the ...
  • Linearizability of Nonlinear Equations on a Quad-Graph by a Point, Two Points and Generalized Hopf-Cole Transformations 
    Levi, D.; Scimiterna, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this paper we propose some linearizability tests of partial difference equations on a quad-graph given by one point, two points and generalized Hopf-Cole transformations. We apply the so obtained tests to a set of ...
  • 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 ...
  • 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 ...
  • Natural and Projectively Invariant Quantizations on Supermanifolds 
    Leuther, T.; Radoux, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The existence of a natural and projectively invariant quantization in the sense of P. Lecomte [Progr. Theoret. Phys. Suppl. (2001), no. 144, 125-132] was proved by M. Bordemann [math.DG/0208171], using the framework of ...
  • Noncommutative Phase Spaces by Coadjoint Orbits Method 
    Ngendakumana, A.; Nzotungicimpaye, J.; Todjihounde, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We introduce noncommutative phase spaces by minimal couplings (usual one, dual one and their mixing). We then realize some of them as coadjoint orbits of the anisotropic Newton-Hooke groups in two- and three-dimensional ...
  • On Algebraically Integrable Differential Operators on an Elliptic Curve 
    Etingof, P.; Rains, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We study differential operators on an elliptic curve of order higher than 2 which are algebraically integrable (i.e., finite gap). We discuss classification of such operators of order 3 with one pole, discovering exotic ...
  • On a Recently Introduced Fifth-Order Bi-Hamiltonian Equation and Trivially Related Hamiltonian Operators 
    Talati, D.; Turhan, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We show that a recently introduced fifth-order bi-Hamiltonian equation with a differentially constrained arbitrary function by A. de Sole, V.G. Kac and M. Wakimoto is not a new one but a higher symmetry of a third-order ...
  • On Darboux's Approach to R-Separability of Variables 
    Sym, A.; Szereszewski, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We discuss the problem of R-separability (separability of variables with a factor R) in the stationary Schrödinger equation on n-dimensional Riemann space. We follow the approach of Gaston Darboux who was the first to give ...
  • On Initial Data in the Problem of Consistency on Cubic Lattices for 3×3 Determinants 
    Mokhov, O.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The paper is devoted to complete proofs of theorems on consistency on cubic lattices for 3×3 determinants. The discrete nonlinear equations on Z² defined by the condition that the determinants of all 3×3 matrices of values ...
  • On Parameter Differentiation for Integral Representations of Associated Legendre Functions 
    Cohl, H.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    For integral representations of associated Legendre functions in terms of modified Bessel functions, we establish justification for differentiation under the integral sign with respect to parameters. With this justification, ...
  • On the Complex Symmetric and Skew-Symmetric Operators with a Simple Spectrum 
    Zagorodnyuk, S.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this paper we obtain necessary and sufficient conditions for a linear bounded operator in a Hilbert space H to have a three-diagonal complex symmetric matrix with non-zero elements on the first sub-diagonal in an ...

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