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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:

  • Q-Curvature, Spectral Invariants, and Representation Theory 
    Branson, T.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We give an introductory account of functional determinants of elliptic operators on manifolds and Polyakov-type formulas for their infinitesimal and finite conformal variations. We relate this to extremal problems and to ...
  • The Symmetric Tensor Lichnerowicz Algebra and a Novel Associative Fourier-Jacobi Algebra 
    Hallowell, K.; Waldron, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Lichnerowicz's algebra of differential geometric operators acting on symmetric tensors can be obtained from generalized geodesic motion of an observer carrying a complex tangent vector. This relation is based upon quantizing ...
  • Integrability and Diffeomorphisms on Target Space 
    Adam, C.; Sanchez-Guillen, J.; Wereszczynski, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We briefly review the concepts of generalized zero curvature conditions and integrability in higher dimensions, where integrability in this context is related to the existence of infinitely many conservation laws. Under ...
  • 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 ...
  • Some Progress in Conformal Geometry 
    Sun-Yung A. Chang; Qing, J.; Yang, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    This is a survey paper of our current research on the theory of partial differential equations in conformal geometry. Our intention is to describe some of our current works in a rather brief and expository fashion. We are ...
  • Two-Dimensional Supersymmetric Quantum Mechanics: Two Fixed Centers of Force 
    González León, M.A.; Mateos Guilarte, J.; M. de la Torre Mayado (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The problem of building supersymmetry in the quantum mechanics of two Coulombian centers of force is analyzed. It is shown that there are essentially two ways of proceeding. The spectral problems of the SUSY (scalar) ...
  • Alternative Method for Determining the Feynman Propagator of a Non-Relativistic Quantum Mechanical Problem 
    Moshinsky, M.; Sadurní, E.; del Campo, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    A direct procedure for determining the propagator associated with a quantum mechanical problem was given by the Path Integration Procedure of Feynman. The Green function, which is the Fourier Transform with respect to the ...
  • Quasi-Exactly Solvable Schrödinger Operators in Three Dimensions 
    Fortin Boisvert, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The main contribution of our paper is to give a partial classification of the quasi-exactly solvable Lie algebras of first order differential operators in three variables, and to show how this can be applied to the ...
  • Straight Quantum Waveguide with Robin Boundary Conditions 
    Jílek, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We investigate spectral properties of a quantum particle confined to an infinite straight planar strip by imposing Robin boundary conditions with variable coupling. Assuming that the coupling function tends to a constant ...
  • Singular Potentials in Quantum Mechanics and Ambiguity in the Self-Adjoint Hamiltonian 
    Fülöp, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    For a class of singular potentials, including the Coulomb potential (in three and less dimensions) and V(x) = g/x² with the coefficient g in a certain range (x being a space coordinate in one or more dimensions), the ...
  • Self-Localized Quasi-Particle Excitation in Quantum Electrodynamics and Its Physical Interpretation 
    Feranchuk, I.D.; Feranchuk, S.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The self-localized quasi-particle excitation of the electron-positron field (EPF) is found for the first time in the framework of a standard form of the quantum electrodynamics. This state is interpreted as the ''physical'' ...
  • Symmetries and Invariant Differential Pairings 
    Eastwood, M.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The purpose of this article is to motivate the study of invariant, and especially conformally invariant, differential pairings. Since a general theory is lacking, this work merely presents some interesting examples of these ...
  • Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels 
    Gavrilik, A.M.; Rebesh, A.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    A scheme is proposed which allows to obtain special q-oscillator models whose characteristic feature consists in possessing two differing pairs of degenerate energy levels. The method uses the model of two-parameter deformed ...
  • Complex Projection of Quasianti-Hermitian Quaternionic Hamiltonian Dynamics 
    Scolarici, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We characterize the subclass of quasianti-Hermitian quaternionic Hamiltonian dynamics such that their complex projections are one-parameter semigroup dynamics in the space of complex quasi-Hermitian density matrices. As ...
  • Monogenic Functions in Conformal Geometry 
    Eastwood, M.; Ryan, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Monogenic functions are basic to Clifford analysis. On Euclidean space they are defined as smooth functions with values in the corresponding Clifford algebra satisfying a certain system of first order differential equations, ...
  • Stability Analysis of Continuous Waves in Nonlocal Random Nonlinear Media 
    Molchan, M.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    On the basis of the competing cubic-quintic nonlinearity model, stability (instability) of continuous waves in nonlocal random non-Kerr nonlinear media is studied analytically and numerically. Fluctuating media parameters ...
  • Monodromy of a Class of Logarithmic Connections on an Elliptic Curve 
    Machu, Francois-Xavier (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The logarithmic connections studied in the paper are direct images of regular connections on line bundles over genus-2 double covers of the elliptic curve. We give an explicit parametrization of all such connections, ...
  • Future Directions of Research in Geometry: A Summary of the Panel Discussion at the 2007 Midwest Geometry Conference 
    Peterson, L.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The 2007 Midwest Geometry Conference included a panel discussion devoted to open problems and the general direction of future research in fields related to the main themes of the conference. This paper summarizes the ...
  • Heat Trace Asymptotics on Noncommutative Spaces 
    Vassilevich, D.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    This is a mini-review of the heat kernel expansion for generalized Laplacians on various noncommutative spaces. Applications to the spectral action principle, renormalization of noncommutative theories and anomalies are ...
  • 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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