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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2, випуск за цей рік за назвою

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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • On the Effective Action of Dressed Mean Fields for N = 4 Super-Yang-Mills Theory 
    Cvetic, G.; Kondrashuk, I.; Schmidt, I. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    On the basis of the general considerations such as R-operation and Slavnov-Taylor identity we show that the effective action, being understood as Legendre transform of the logarithm of the path integral, possesses particular ...
  • On the Essential Spectrum of Many-Particle Pseudorelativistic Hamiltonians with Permutational Symmetry Account 
    Zhislin, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    In this paper we formulate our results on the essential spectrum of many-particle pseudorelativistic Hamiltonians without magnetic and external potential fields in the spaces of functions, having arbitrary type α of the ...
  • On the Existence of Configurations of Subspaces in a Hilbert Space with Fixed Angles 
    Popova, N.D.; Samoilenko, Y.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    For a class of *-algebras, where *-algebra AΓ,τ is generated by projections associated with vertices of graph Γ and depends on a parameter τ (0 < τ ≤ 1), we study the sets ΣΓ of values of τ such that the algebras AΓ,τ have ...
  • On the Gaussian Random Matrix Ensembles with Additional Symmetry Conditions 
    Vasilchuk, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The Gaussian unitary random matrix ensembles satisfying some additional symmetry conditions are considered. The effect of these conditions on the limiting normalized counting measures and correlation functions is studied.
  • On the Generalized Maxwell-Bloch Equations 
    Saksida, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    A new Hamiltonian structure of the Maxwell-Bloch equations is described. In this setting the Maxwell-Bloch equations appear as a member of a family of generalized Maxwell-Bloch systems. The family is parameterized by compact ...
  • On the Linearization of Second-Order Differential and Difference Equations 
    Dorodnitsyn, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    This article complements recent results of the papers [J. Math. Phys. 41 (2000), 480; 45 (2004), 336] on the symmetry classification of second-order ordinary difference equations and meshes, as well as the Lagrangian ...
  • On the one class of hyperbolic systems 
    Adler, V.E.; Shabat, A.B. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The classification problem is solved for some type of nonlinear lattices. These lattices are closely related to the lattices of Ruijsenaars-Toda type and define the Bäcklund auto-transformations for the class of two-component ...
  • On the Virasoro Structure of Symmetry Algebras of Nonlinear Partial Differential Equations 
    Güngör, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We discuss Lie algebras of the Lie symmetry groups of two generically non-integrable equations in one temporal and two space dimensions arising in different contexts. The first is a generalization of the KP equation and ...
  • On Transitive Systems of Subspaces in a Hilbert Space 
    Moskaleva, Y.P.; Samoilenko, Y.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    Methods of *-representations in Hilbert space are applied to study of systems of n subspaces in a linear space. It is proved that the problem of description of n-transitive subspaces in a finite-dimensional linear space ...
  • Operator Gauge Symmetry in QED 
    Khademi, S.; Nasiri, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    In this paper, operator gauge transformation, first introduced by Kobe, is applied to Maxwell's equations and continuity equation in QED. The gauge invariance is satisfied after quantization of electromagnetic fields. ...
  • Orbit Functions 
    Klimyk, A.; Patera, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    In the paper, properties of orbit functions are reviewed and further developed. Orbit functions on the Euclidean space En are symmetrized exponential functions. The symmetrization is fulfilled by a Weyl group corresponding ...
  • Ordered Dissipative Structures in Exciton Systems in Semiconductor Quantum Wells 
    Chernyuk, A.A.; Sugakov, V.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    A phenomenological theory of exciton condensation in conditions of inhomogeneous excitation is proposed. The theory is applied to the study of the development of an exciton luminescence ring and the ring fragmentation at ...
  • Order Parameters in XXZ-Type Spin 1/2 Quantum Models with Gibbsian Ground States 
    Skrypnik, W. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    A class of general spin 1/2 lattice models on hyper-cubic lattice Zd, whose Hamiltonians are sums of two functions depending on the Pauli matrices S¹, S² and S³, respectively, are found, which have Gibbsian eigen (ground) ...
  • Orthogonality within the families of C-, S-, and E-functions of any compact semisimple Lie group 
    Moody, R.V.; Patera, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The paper is about methods of discrete Fourier analysis in the context of Weyl group symmetry. Three families of class functions are defined on the maximal torus of each compact simply connected semisimple Lie group G. ...
  • Painlevé Analysis and Similarity Reductions for the Magma Equation 
    Harris, S.E.; Clarkson, P.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    In this paper, we examine a generalized magma equation for rational values of two parameters, m and n. Firstly, the similarity reductions are found using the Lie group method of infinitesimal transformations. The Painlevé ...
  • Para-Grassmann variables and coherent states 
    Cabra, D.C.; Moreno, E.F.; Tanasă, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The definitions of para-Grassmann variables and q-oscillator algebras are recalled. Some new properties are given. We then introduce appropriate coherent states as well as their dual states. This allows us to obtain a ...
  • Perturbative Treatment of the Evolution Operator Associated with Raman Couplings 
    Militello, B.; Aniello, P.; Messina, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    A novel perturbative treatment of the time evolution operator of a quantum system is applied to the model describing a Raman-driven trapped ion in order to obtain a suitable 'effective model'. It is shown that the associated ...
  • Prolongation Loop Algebras for a Solitonic System of Equations 
    Agrotis, M.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We consider an integrable system of reduced Maxwell-Bloch equations that describes the evolution of an electromagnetic field in a two-level medium that is inhomogeneously broadened. We prove that the relevant Bäcklund ...
  • q-Deformed Bi-Local Fields II 
    Toyoda, H.; Naka, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We study a way of q-deformation of the bi-local system, the two particle system bounded by a relativistic harmonic oscillator type of potential, from both points of view of mass spectra and the behavior of scattering ...
  • q-Deformed KP Hierarchy and q-Deformed Constrained KP Hierarchy 
    He, Jingsong; Li, Yinghua; Cheng, Yi (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    Using the determinant representation of gauge transformation operator, we have shown that the general form of τ function of the q-KP hierarchy is a q-deformed generalized Wronskian, which includes the q-deformed Wronskian ...

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