Наукова електронна бібліотека
періодичних видань НАН України

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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • q-Boson in Quantum Integrable Systems 
    Kundu, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    q-bosonic realization of the underlying Yang-Baxter algebra is identified for a series of quantum integrable systems, including some new models like two-mode q-bosonic model leading to a coupled two-component derivative ...
  • 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 ...
  • Quadratic Algebra Approach to an Exactly Solvable Position-Dependent Mass Schrödinger Equation in Two Dimensions 
    Quesne, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    An exactly solvable position-dependent mass Schrödinger equation in two dimensions, depicting a particle moving in a semi-infinite layer, is re-examined in the light of recent theories describing superintegrable two-dimensional ...
  • Qualitative Analysis of the Classical and Quantum Manakov Top 
    Sinitsyn, E.; Zhilinskii, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Qualitative features of the Manakov top are discussed for the classical and quantum versions of the problem. Energy-momentum diagram for this integrable classical problem and quantum joint spectrum of two commuting observables ...
  • Quantum Deformations and Superintegrable Motions on Spaces with Variable Curvature 
    Ragnisco, O.; Ballesteros, A.; Herranz, F.J.; Musso, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    An infinite family of quasi-maximally superintegrable Hamiltonians with a common set of (2N-3) integrals of the motion is introduced. The integrability properties of all these Hamiltonians are shown to be a consequence of ...
  • 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 ...
  • Quantum Information from Graviton-Matter Gas 
    Glinka, Lukasz-Andrzej (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We present basics of conceptually new-type way for explaining of the origin, evolution and current physical properties of our Universe from the graviton-matter gas viewpoint. Quantization method for the Friedmann-Lemaitre ...
  • Quantum Super-Integrable Systems as Exactly Solvable Models 
    Fordy, A.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We consider some examples of quantum super-integrable systems and the associated nonlinear extensions of Lie algebras. The intimate relationship between super-integrability and exact solvability is illustrated. Eigenfunctions ...
  • 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 ...
  • Raising and Lowering Operators for Askey-Wilson Polynomials 
    Sahi, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    In this paper we describe two pairs of raising/lowering operators for Askey-Wilson polynomials, which result from constructions involving very different techniques. The first technique is quite elementary, and depends only ...
  • Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group 
    Iglesias, D.; Marrero, J.C.; Martín de Diego, D.; Martínez, E.; Padrón, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We describe the reduction procedure for a symplectic Lie algebroid by a Lie subalgebroid and a symmetry Lie group. Moreover, given an invariant Hamiltonian function we obtain the corresponding reduced Hamiltonian dynamics. ...
  • Relativistic Toda Chain with Boundary Interaction at Root of Unity 
    Iorgov, N.; Roubtsov, V.; Shadura, V.; Tykhyy, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We apply the Separation of Variables method to obtain eigenvectors of commuting Hamiltonians in the quantum relativistic Toda chain at a root of unity with boundary interaction.
  • 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 ...
  • 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'' ...
  • Separation of Variables and the Geometry of Jacobians 
    Hurtubise, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    This survey examines separation of variables for algebraically integrable Hamiltonian systems whose tori are Jacobians of Riemann surfaces. For these cases there is a natural class of systems which admit separations in a ...
  • Singular Eigenfunctions of Calogero-Sutherland Type Systems and How to Transform Them into Regular Ones 
    Langmann, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    There exists a large class of quantum many-body systems of Calogero-Sutherland type where all particles can have different masses and coupling constants and which nevertheless are such that one can construct a complete (in ...
  • 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 ...
  • Skew Divided Difference Operators and Schubert Polynomials 
    Kirillov, A.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We study an action of the skew divided difference operators on the Schubert polynomials and give an explicit formula for structural constants for the Schubert polynomials in terms of certain weighted paths in the Bruhat ...
  • 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 ...
  • 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 ...

Пошук


Розширений пошук

Перегляд

Мій обліковий запис