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  • Symmetries in the physics of strongly correlated electronic systems 
    Mancini, F.; Avella, A. (Condensed Matter Physics, 1998)
    Strongly correlated electron systems require the development of new theoretical schemes in order to describe their unusual and unexpected properties. The usual perturbation schemes are inadequate and new concepts ...
  • Symmetries of a center singularity of a plane vector fields 
    Maksymenko, S.I. (Нелінійні коливання, 2009)
    Let D² ⊂ R² be a closed unit 2-disk centered at the origin O ∈ R², and F be a smooth vector field such that O is a unique singular point of F and all other orbits of F are simple closed curves wrapping once around O. Thus ...
  • Symmetries of automata 
    Egri-Nagy, A.; Nehaniv, C.L. (Algebra and Discrete Mathematics, 2015)
    For a given reachable automaton A, we prove that the (state-) endomorphism monoid End(A) divides its characteristic monoid M(A). Hence so does its (state-)automorphism group Aut(A), and, for finite A, Aut(A) is a homomorphic ...
  • Symmetries of center singularities of plane vector fields 
    Maksymenko, S.I. (Нелінійні коливання, 2010)
    Let D² ⊂ R² be a closed unit 2-disk centered at the origin O ∈ R², and F be a smooth vector field such that O is a unique singular point of F and all other orbits of F are simple closed curves wrapping once around O. Thus ...
  • Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature 
    Calvaruso, G.; Zaeim, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Locally homogeneous Lorentzian three-manifolds with recurrect curvature are special examples of Walker manifolds, that is, they admit a parallel null vector field. We obtain a full classification of the symmetries of these ...
  • Symmetries of Spin Calogero Models 
    Caudrelier, V.; Crampé, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We investigate the symmetry algebras of integrable spin Calogero systems constructed from Dunkl operators associated to finite Coxeter groups. Based on two explicit examples, we show that the common view of associating one ...
  • Symmetries of the Continuous and Discrete Krichever-Novikov Equation 
    Levi, D.; Winternitz, P.; Yamilov, R.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A symmetry classification is performed for a class of differential-difference equations depending on 9 parameters. A 6-parameter subclass of these equations is an integrable discretization of the Krichever-Novikov equation. ...
  • Symmetries of the Free Schrödinger Equation in the Non-Commutative Plane 
    Batlle, C.; Gomis, J.; Kamimura, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We study all the symmetries of the free Schrödinger equation in the non-commutative plane. These symmetry transformations form an infinite-dimensional Weyl algebra that appears naturally from a two-dimensional Heisenberg ...
  • Symmetries of the Hirota Difference Equation 
    Pogrebkov, A.K. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Continuous symmetries of the Hirota difference equation, commuting with shifts of independent variables, are derived by means of the dressing procedure. Action of these symmetries on the dependent variables of the equation ...
  • Symmetries of the Space of Linear Symplectic Connections 
    Fox, D.J.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    There is constructed a family of Lie algebras that act in a Hamiltonian way on the symplectic affine space of linear symplectic connections on a symplectic manifold. The associated equivariant moment map is a formal sum ...
  • Symmetry and exact solution of heat-mass transfer equations in thermonuclear plasma 
    Cherniga, R.M.; Wilhetmsson, H. (Український математичний журнал, 1996)
    For the nonlinear system of partial differential equations, which describes the evolution of temperature and density in TOKAMAK plasmas, multiparameter families of exact solutions are constructed. The solutions are constructed ...
  • Symmetry and Intertwining Operators for the Nonlocal Gross-Pitaevskii Equation 
    Lisok, A.L.; Shapovalov, A.V.; Trifonov, A.Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We consider the symmetry properties of an integro-differential multidimensional Gross-Pitaevskii equation with a nonlocal nonlinear (cubic) term in the context of symmetry analysis using the formalism of semiclassical ...
  • Symmetry Extensions and Their Physical Reasons in the Kinetic and Hydrodynamic Plasma Models 
    Taranov, V.B. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    Characteristic examples of continuous symmetries in hydrodynamic plasma theory (partial differential equations) and in kinetic Vlasov-Maxwell models (integro-differential equations) are considered. Possible symmetry ...
  • Symmetry Groups of An Hypergeometric Series 
    Kajihara, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Structures of symmetries of transformations for Holman-Biedenharn-Louck An hypergeometric series: An terminating balanced ₄F₃ series and An elliptic ₁₀E₉ series are discussed. Namely the description of the invariance groups ...
  • Symmetry in Single-Polarization Reflector Impulse Radiating Antennas 
    Baum, C.E. (Радиофизика и радиоастрономия, 2002)
    There are various construction details for reflector impulse-radiating antennas (IRAs) which limit the achievement of the ideal performance characteristics. Symmetry planes are important for polarization purity in the ...
  • Symmetry of induced polar states in noncentral crystals under inhomogeneous heating 
    Kosorotov, V.F.; Shchedrina, L.V. (Condensed Matter Physics, 2000)
    В роботі запропоновано використання зовнішньої векторної дії у вигляді просторово неоднорідного нагріву кристала як оригінального і перспективного методу створення нових фізичних властивостей у традиційних кристалах, ...
  • Symmetry of life in crystals 
    Balonin, N.A.; Suzdal, V.S. (Functional Materials, 2016)
    The results of the study of quasicrystals matrix models are presented, which confirm the hypothesis that each quasicrystal has corresponding quasiorthogonal matrix associated with it, the golden ratio matrix meets the ...
  • Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds 
    Carignano, A.; Fatibene, L.; McLenaghan, R.L.; Rastelli, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A signature independent formalism is created and utilized to determine the general second-order symmetry operators for Dirac's equation on two-dimensional Lorentzian spin manifolds. The formalism is used to characterize ...
  • Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity 
    Shapovalov, A.V.; Rezaev, R.O.; Trifonov, A.Yu. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The Cauchy problem for the Fokker-Plank-Kolmogorov equation with a nonlocal nonlinear drift term is reduced to a similar problem for the correspondent linear equation. The relation between symmetry operators of the linear ...
  • Symmetry peculiarities of the intracrystalline fields layered semiconductor crystals (PbI₂)₍₁₋ₓ₎(BiI₃)ₓ 
    Barabash, O.I.; Vertegel, I.G.; Chesnokov, E.D.; Ovcharenko, O.I.; Ivanova, L.S. (Functional Materials, 2012)
    The results of our study deal with the NQR spectra of ¹²⁷| at 77 K in mixed layered semiconductor crystals (PbI₂)₍₁₋ₓ₎(BiI₃)ₓ in a wide range of content Pbl₂ and Bil ₃ 0 < x < 1. It is shown that in the range of content 0 ...