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  • From Noncommutative Sphere to Nonrelativistic Spin 
    Deriglazov, A.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Reparametrization invariant dynamics on a sphere, being parameterized by angular momentum coordinates, represents an example of noncommutative theory. It can be quantized according to Berezin-Marinov prescription, replacing ...
  • From optical spectra to phase diagrams — the binary mixture N2–CO 
    Vetter, M.; Brodyanski, A.; Jodl, H.-J. (2007)
    We investigated the T–c% phase diagram of the binary system N2–CO. From changes in IR spectra of all kinds of mode excitations (phonons, vibrons) we were able to determine the temperature of phase transitions (solid–solid, ...
  • From phase transitions to dynamics of liquids: on the 50-th anniversary of Ihor Mryglod 
    Bryk, T. (Condensed Matter Physics, 2010)
    The main idea of this Special issue of "Condensed Matter Physics" was to get together in one volume contributions from research fields that encompass I.Mryglod's interests over the last 25 years.
  • From Polygons to Ultradiscrete Painlevé Equations 
    Ormerod, C.M.; Yamada, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The rays of tropical genus one curves are constrained in a way that defines a bounded polygon. When we relax this constraint, the resulting curves do not close, giving rise to a system of spiraling polygons. The piecewise ...
  • From Principal Series to Finite-Dimensional Solutions of the Yang-Baxter Equation 
    Chicherin, D.; Derkachov, S.E.; Spiridonov, V.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We start from known solutions of the Yang-Baxter equation with a spectral parameter defined on the tensor product of two infinite-dimensional principal series representations of the group SL(2,C) or Faddeev's modular double. ...
  • From Quantum AN (Calogero) to H₄ (Rational) Model 
    Turbiner, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A brief and incomplete review of known integrable and (quasi)-exactly-solvable quantum models with rational (meromorphic in Cartesian coordinates) potentials is given. All of them are characterized by (i) a discrete symmetry ...
  • From Quantum AN to E₈ Trigonometric Model: Space-of-Orbits View 
    Turbiner, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A number of affine-Weyl-invariant integrable and exactly-solvable quantum models with trigonometric potentials is considered in the space of invariants (the space of orbits). These models are completely-integrable and admit ...
  • From reverse transcription to human brain tumors 
    Dmitrenko, V.V.; Avdieiev, S.S.; Areshkov, P.O.; Balynska, O.V.; Bukreieva, T.V.; Stepanenko, A.A.; Chausovskii, T.I.; Kavsan, V.M. (Вiopolymers and Cell, 2013)
    Reverse transcriptase from avian myeloblastosis virus (AMV) was the subject of the study, from which the investigations of the Department of biosynthesis of nucleic acids were started. Production of AMV in grams quantities ...
  • From single SQUID to superconducting quantum arrays 
    Kornev, V.K.; Kolotinskiy, N.V.; Sharafiev, A.V.; Soloviev, I.I. (Физика низких температур, 2017)
    Superconducting quantum arrays (SQAs) capable of providing highly linear voltage response to magnetic signal and high dynamic range have been suggested and developed. Base elements of the arrays, quantum cells, were devised ...
  • From slq(2) to a Parabosonic Hopf Algebra 
    Tsujimoto, S.; Vinet, L.; Zhedanov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A Hopf algebra with four generators among which an involution (reflection) operator, is introduced. The defining relations involve commutators and anticommutators. The discrete series representations are developed. Designated ...
  • From soft to superhard: fifty years of experiments on cold-compressed graphite 
    Wang, Y.; Lee, K.K.M. (Сверхтвердые материалы, 2012)
    In recent years there have been numerous computational studies predicting the nature of cold-compressed graphite yielding a proverbial alphabet soup of carbon structures (e.g., bct-C4, K4-, M-, H-, R-, S-, T-, W- and ...
  • From ‘steppe empires’/‘super-complex chiefdoms’ To ‘early states’: The case of Danube Bulgaria and Khazaria (religious aspects) 
    Stepanov, Ts. (Хазарский альманах, 2020)
    Автор сравнивает два раннесредневековые государства, Хазарию и Дунайскую Болгарию, в период VIII – начала X вв., сквозь призму государственной модели и религии. В рамках IX в. Болгария, видимо, догнала и даже опередила ...
  • From su(2) Gaudin Models to Integrable Tops 
    Petrera, M.; Ragnisco, O. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    In the present paper we derive two well-known integrable cases of rigid body dynamics (the Lagrange top and the Clebsch system) performing an algebraic contraction on the two-body Lax matrices governing the (classical) ...
  • From superhard to hard: a review of transition metal dioxides TiO₂, ZrO₂, and HfO₂ hardness 
    Al-Khatatbeh, Y.; Lee, K.K.M. (Сверхтвердые материалы, 2014)
    The high-pressure, high-temperature behavior of transition metal dioxides TiO₂, ZrO₂, and HfO₂ has been reviewed. In particular, early predictions and measurements that suggested superhard behavior for the transition metal ...
  • From the arrow of time in Badiali's quantum approach to the dynamic meaning of Riemann's hypothesis 
    Riot, P.; A. Le Méhauté (Condensed Matter Physics, 2017)
    The novelty of the Jean Pierre Badiali last scientific works stems to a quantum approach based on both (i) a return to the notion of trajectories (Feynman paths) and (ii) an irreversibility of the quantum transitions. ...
  • From the bulk electrolyte solution to the electrochemical interface 
    Cachet, H. (Condensed Matter Physics, 2017)
    This paper is aiming at presenting some relevant contributions of Jean-Pierre Badiali during the first ten years of his growing scientific activity. This presentation does not contain new materials but is based on a ...
  • From the history of the State historical and architectural reserve «Ancient Kyiv» 
    Horkova, A.O. (Сіверщина в історії України, 2021)
    The State Historical and Architectural Reserve «Ancient Kyiv» is unique in terms of intension in percentage terms of monuments in ordinary buildings, location, number of varieties of objects of cultural heritage, their ...
  • From theory to experiment: hadron electromagnetic form factors in space-like and time-like regions 
    Tomasi-Gustafsson, E.; Gakh, G.I.; Rekalo, A.P. (Вопросы атомной науки и техники, 2007)
    Hadron electromagnetic form factors contain information on the intrinsic structure of the hadrons. The pioneering work developed at the Kharkov Physical-Technical Institute in the 60's on the relation between the polarized ...
  • From Twisted Quantum Loop Algebras to Twisted Yangians 
    Conner, P.; Guay, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We prove how the Yangian of glN in its RTT presentation and Olshanski's twisted Yangians for the orthogonal and symplectic Lie algebras can be obtained by a degeneration process from the corresponding quantum loop algebra ...
  • Frühes Christentum «An der (Ost) Grenze» Europas 
    Pillinger, R. (Боспорские исследования, 2010)
    This article seeks to demonstrate the significance of early Christianity as a typical boarder region where there is Ukraine today. Special attention is paid to the monuments from Chersonesos in Sevastopol and from Panticapaion ...