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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • On the Spectrum of a Discrete Non-Hermitian Quantum System 
    Ergun, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In this paper, we develop spectral analysis of a discrete non-Hermitian quantum system that is a discrete counterpart of some continuous quantum systems on a complex contour. In particular, simple conditions for discreteness ...
  • On the Structure of Lie Pseudo-Groups 
    Olver, P.J.; Pohjanpelto, J.; Valiquette, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We compare and contrast two approaches to the structure theory for Lie pseudo-groups, the first due to Cartan, and the second due to the first two authors. We argue that the latter approach offers certain advantages from ...
  • Partial Sums of Two Quartic q-Series 
    Chu, W.; Wang, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The partial sums of two quartic basic hypergeometric series are investigated by means of the modified Abel lemma on summation by parts. Several summation and transformation formulae are consequently established.
  • Point Canonical Transformation versus Deformed Shape Invariance for Position-Dependent Mass Schrödinger Equations 
    Quesne, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    On using the known equivalence between the presence of a position-dependent mass (PDM) in the Schrödinger equation and a deformation of the canonical commutation relations, a method based on deformed shape invariance has ...
  • PT Symmetry and QCD: Finite Temperature and Density 
    Ogilvie, M.C.; Meisinger, P.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The relevance of PT symmetry to quantum chromodynamics (QCD), the gauge theory of the strong interactions, is explored in the context of finite temperature and density. Two significant problems in QCD are studied: the sign ...
  • Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras 
    Accardi, L.; Boukas, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The present paper reviews some intriguing connections which link together a new renormalization technique, the theory of *-representations of infinite dimensional *-Lie algebras, quantum probability, white noise and ...
  • Quantum Symmetries for Exceptional SU(4) Modular Invariants Associated with Conformal Embeddings 
    Coquereaux, R.; Schieber, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Three exceptional modular invariants of SU(4) exist at levels 4, 6 and 8. They can be obtained from appropriate conformal embeddings and the corresponding graphs have self-fusion. From these embeddings, or from their ...
  • Quiver Varieties and Branching 
    Nakajima, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Braverman and Finkelberg recently proposed the geometric Satake correspondence for the affine Kac-Moody group Gaff [Braverman A., Finkelberg M., arXiv:0711.2083]. They conjecture that intersection cohomology sheaves on the ...
  • q-Wakimoto Modules and Integral Formulae of Solutions of the Quantum Knizhnik-Zamolodchikov Equations 
    Kuroki, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Matrix elements of intertwining operators between q-Wakimoto modules associated to the tensor product of representations of Uq(^sl2) with arbitrary spins are studied. It is shown that they coincide with the Tarasov-Varchenko's ...
  • Remarks on Multi-Dimensional Conformal Mechanics 
    Burdík, C.; Nersessian, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Recently, Galajinsky, Lechtenfeld and Polovnikov proposed an elegant group-theoretical transformation of the generic conformal-invariant mechanics to the free one. Considering the classical counterpart of this transformation, ...
  • Second-Order Conformally Equivariant Quantization in Dimension 1|2 
    Mellouli, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    This paper is the next step of an ambitious program to develop conformally equivariant quantization on supermanifolds. This problem was considered so far in (super)dimensions 1 and 1|1. We will show that the case of several ...
  • Self-Consistent-Field Method and τ-Functional Method on Group Manifold in Soliton Theory: a Review and New Results 
    Nishiyama, S.; da Providência, J.; Providência, C.; Cordeiro, F.; Komatsu, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The maximally-decoupled method has been considered as a theory to apply an basic idea of an integrability condition to certain multiple parametrized symmetries. The method is regarded as a mathematical tool to describe a ...
  • Simple Finite Jordan Pseudoalgebras 
    Kolesnikov, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We consider the structure of Jordan H-pseudoalgebras which are linearly finitely generated over a Hopf algebra H. There are two cases under consideration: H = U(h) and H = U(h) # C[Γ], where h is a finite-dimensional Lie ...
  • Singularities of Affine Schubert Varieties 
    Kuttler, J.; Lakshmibai, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    This paper studies the singularities of affine Schubert varieties in the affine Grassmannian (of type Al⁽¹⁾). For two classes of affine Schubert varieties, we determine the singular loci; and for one class, we also determine ...
  • Singularity Classes of Special 2-Flags 
    Mormul, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In the paper we discuss certain classes of vector distributions in the tangent bundles to manifolds, obtained by series of applications of the so-called generalized Cartan prolongations (gCp). The classical Cartan prolongations ...
  • Solvable Rational Potentials and Exceptional Orthogonal Polynomials in Supersymmetric Quantum Mechanics 
    Quesne, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    New exactly solvable rationally-extended radial oscillator and Scarf I potentials are generated by using a constructive supersymmetric quantum mechanical method based on a reparametrization of the corresponding conventional ...
  • Structure Theory for Second Order 2D Superintegrable Systems with 1-Parameter Potentials 
    Kalnins, E.G.; Kress, J.M.; Post, S.; Miller Jr., W. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The structure theory for the quadratic algebra generated by first and second order constants of the motion for 2D second order superintegrable systems with nondegenerate (3-parameter) and or 2-parameter potentials is well ...
  • Symmetric Space Cartan Connections and Gravity in Three and Four Dimensions 
    Wise, D.K. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Einstein gravity in both 3 and 4 dimensions, as well as some interesting generalizations, can be written as gauge theories in which the connection is a Cartan connection for geometry modeled on a symmetric space. The ...
  • Symplectic Applicability of Lagrangian Surfaces 
    Musso, E.; Nicolodi, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We develop an approach to affine symplectic invariant geometry of Lagrangian surfaces by the method of moving frames. The fundamental invariants of elliptic Lagrangian immersions in affine symplectic four-space are derived ...
  • The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries 
    de la Madrid, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We review the way to analytically continue the Lippmann-Schwinger bras and kets into the complex plane. We will see that a naive analytic continuation leads to nonsensical results in resonance theory, and we will explain ...

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