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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3, випуск за цей рік за датою випуску

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3, випуск за цей рік за датою випуску

Сортувати за: Порядок: Результатів:

  • Faster than Hermitian Time Evolution 
    Bender, C.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    For any pair of quantum states, an initial state |Iñ and a final quantum state |Fñ, in a Hilbert space, there are many Hamiltonians H under which |Iñ evolves into |Fñ. Let us impose the constraint that the difference between ...
  • 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 ...
  • Curved Casimir Operators and the BGG Machinery 
    Cap, A.; Soucek, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We prove that the Casimir operator acting on sections of a homogeneous vector bundle over a generalized flag manifold naturally extends to an invariant differential operator on arbitrary parabolic geometries. We study some ...
  • Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows 
    Borshch, M.S.; Zhdanov, V.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We use a connection between relativistic hydrodynamics and scalar field theory to generate exact analytic solutions describing non-stationary inhomogeneous flows of the perfect fluid with one-parametric equation of state ...
  • Miscellaneous Applications of Quons 
    Kibler, M.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    This paper deals with quon algebras or deformed oscillator algebras, for which the deformation parameter is a root of unity. We motivate why such algebras are interesting for fractional supersymmetric quantum mechanics, ...
  • Second-Order Approximate Symmetries of the Geodesic Equations for the Reissner-Nordström Metric and Re-Scaling of Energy of a Test Particle 
    Hussain, I.; Mahomed, F.M.; Qadir, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Following the use of approximate symmetries for the Schwarzschild spacetime by A.H. Kara, F.M. Mahomed and A. Qadir (Nonlinear Dynam., to appear), we have investigated the exact and approximate symmetries of the system of ...
  • Conformal Metrics with Constant Q-Curvature 
    Malchiodi, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We consider the problem of varying conformally the metric of a four dimensional manifold in order to obtain constant Q-curvature. The problem is variational, and solutions are in general found as critical points of saddle ...
  • 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 ...
  • Wavelet-Based Quantum Field Theory 
    Altaisky, M.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The Euclidean quantum field theory for the fields φΔx(x), which depend on both the position x and the resolution Δx, constructed in SIGMA 2 (2006), 046, on the base of the continuous wavelet transform, is considered. The ...
  • Translation to Bundle Operators 
    Branson, T.P.; Hong, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We give explicit formulas for conformally invariant operators with leading term an m-th power of Laplacian on the product of spheres with the natural pseudo-Riemannian product metric for all m.
  • Some Conformal Invariants from the Noncommutative Residue for Manifolds with Boundary 
    Ugalde, W.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We review previous work of Alain Connes, and its extension by the author, on some conformal invariants obtained from the noncommutative residue on even dimensional compact manifolds without boundary. Inspired by recent ...
  • Toeplitz Operators, Kähler Manifolds, and Line Bundles 
    Foth, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    This is a survey paper. We discuss Toeplitz operators in Kähler geometry, with applications to geometric quantization, and review some recent developments.
  • Conformal Dirichlet-Neumann Maps and Poincaré-Einstein Manifolds 
    Gover, A.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    A conformal description of Poincaré-Einstein manifolds is developed: these structures are seen to be a special case of a natural weakening of the Einstein condition termed an almost Einstein structure. This is used for two ...
  • Geometric Linearization of Ordinary Differential Equations 
    Qadir, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The linearizability of differential equations was first considered by Lie for scalar second order semi-linear ordinary differential equations. Since then there has been considerable work done on the algebraic classification ...
  • From Holonomy of the Ising Model Form Factors to n-Fold Integrals and the Theory of Elliptic Curve 
    Boukraa, S.; Hassani, S.; Maillard, Jean-Marie; Zenine, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We recall the form factors f(j)N,N corresponding to the l-extension C(N,N; l) of the two-point diagonal correlation function of the Ising model on the square lattice and their associated linear differential equations which ...
  • Quantum Gravity: Unification of Principles and Interactions, and Promises of Spectral Geometry 
    Booß-Bavnbek, B.; Esposito, G.; Lesch, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Quantum gravity was born as that branch of modern theoretical physics that tries to unify its guiding principles, i.e., quantum mechanics and general relativity. Nowadays it is providing new insight into the unification ...
  • Lagrangian Approach to Dispersionless KdV Hierarchy 
    Choudhuri, A.; Talukdar, B.; Das, U. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We derive a Lagrangian based approach to study the compatible Hamiltonian structure of the dispersionless KdV and supersymmetric KdV hierarchies and claim that our treatment of the problem serves as a very useful supplement ...
  • Differential Invariants of Conformal and Projective Surfaces 
    Hubert, E.; Olver, P.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We show that, for both the conformal and projective groups, all the differential invariants of a generic surface in three-dimensional space can be written as combinations of the invariant derivatives of a single differential ...
  • Conformal Powers of the Laplacian via Stereographic Projection 
    Graham, C.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    A new derivation is given of Branson's factorization formula for the conformally invariant operator on the sphere whose principal part is the k-th power of the scalar Laplacian. The derivation deduces Branson's formula ...
  • On 1-Harmonic Functions 
    Wei, S.W. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Characterizations of entire subsolutions for the 1-harmonic equation of a constant 1-tension field are given with applications in geometry via transformation group theory. In particular, we prove that every level hypersurface ...

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