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AbstractAbstract
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Journal Article
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Radiation Effects; v. 21(4); p. 265-267
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Svinin, A K, E-mail: svinin@icc.ru2009
AbstractAbstract
[en] We show a broad class of constraints compatible with the Itoh-Narita-Bogoyavlenskii lattice hierarchy. All these constraints can be written in the form of a discrete conservation law Ii+1 = Ii with an appropriate homogeneous polynomial discrete function I = I[a].
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SIDE 8: International conference on symmetries and integrability of difference equations; Ste-Adele, PQ (Canada); 22-28 Jun 2008; S1751-8113(09)10637-6; Available from http://dx.doi.org/10.1088/1751-8113/42/45/454021; Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
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Conference
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Journal of Physics. A, Mathematical and Theoretical (Online); ISSN 1751-8121;
; v. 42(45); [15 p.]

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[en] We generalize Babelon's approach to equations in dual variables so as to be able to treat new types of operators which we build out of the sub-constituents of the model's monodromy matrix. Further, we also apply Sklyanin's recent monodromy matrix identities so as to obtain equations in dual variables for yet other operators. The schemes discussed in this paper appear to be universal and thus, in principle, applicable to many models solvable through the quantum separation of variables
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(c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
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[en] The magnetic translation lattices can be described by invariant wave vectors k. Advantages of the wave vector notation over the notations used by Belov et al. and Opechowski et al. are pointed out. In a one-dimensional real representation a space group element (α/tau(1)) has either the character +1 (symmetry element) or -1 (antisymmetry element). Thus the square of any space group operation must have the character +1 in a one-dimensional real representation. This simple ''square criterion'' is used to limit the admissible k-vectors and to derive the family of magnetic space groups, i.e. the set of all possible magnetic space groups, belonging to the same crystallographic space group. In the discussion some useful side results are obtained. Not only the real one-dimensional representations of point groups are connected to real one-dimensional representations of space groups, but a direct connection is shown to exist between one-dimensional complex representations of the point groups 3, 4 and 6 and one-dimensional real representations, belonging to P[001/2]=Psub(2c)(Psub(c))-lattices with screw axes 31, 32, 42, 62 and 64. Rules are derived for finding the Belov symbol when the Opechowski-Guccione symbol of the magnetic space group is known and this opportunity is used for correcting errors in the Opechowski-Guccione tables
[fr]
Les reseaux de translations magnetiques peuvent etre decrits par des vecteurs d'onde k invariants. Les avantages de cette notation a l'aide d'un vecteur d'onde par rapport aux notations de Belov d'une part, et d'Opechowski-Guccione d'autre part, sont soulignes. Dans une representation reelle a une dimension un element (α/tau(α)) d'un groupe d'espace a ou bien le caractere +1 (element de symetrie) ou bien -1 (element d'antisymetrie). Par consequent, le carre d'une quelconque operation d'un groupe d'espace doit avoir le caractere +1 dans une representation reelle a une dimension. Ce simple critere du carre positif est utilise pour limiter les vecteurs d'onde k admissibles et pour deriver la famille de groupes d'espace magnetiques, c'est-a-dire l'ensemble de tous les groupes d'espace magnetiques possibles, appartenant au meme groupe d'espace cristallographique. Quelques resultats lateraux sont obtenus dans la discussion. Non seulement les representations reelles a une dimension des groupes ponctuels sont connectees aux representations reelles a une dimension des groupes d'espace, mais de plus on montre qu'une connexion directe existe entre les representations complexes a une dimension des groupes ponctuels 3, 4 et 6 et les representations reelles a une dimension appartenant a des reseaux P[001/2]=Psub(2c)(Psub(c)) ayant des axes helicoidaux 31, 32, 42, 62 et 64. Finalement, on enonce les regles permettant de trouver le symbole de Belov lorsque celui d'Opechowski-Guccione est connu pour un groupe magnetique donne et on corrige, a cette occasion, quelques erreurs des tables d'Opechowski-GuccioneRecord Type
Journal Article
Journal
Annales de Physique (Paris); v. 9(2); p. 93-108
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AbstractAbstract
No abstract available
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Israel Chemical Society, Tel-Aviv; 158 p; 1982; p. 70; 49. Conference of the Israel Chemical Society; Tel-Aviv (Israel); 10-11 Oct 1982; Published in summary form only.
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Miscellaneous
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AbstractAbstract
[en] Exact critical exponents, ν and γ describing the self-avoiding walks statistics are calculated for several finitely ramified fractals. (Author)
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AbstractAbstract
[en] The space lattice beam is a complex statically indeterminate rod structure which, composed with several beams, is an important process for calculating the internal force and lateral stiffness in the design analysis. First, taking the single-chip truss structure with variable section as research object, each member’s force, lateral displacements and flexibility coefficients of the tapered truss with different arrangement in the form of webs are given. Finally, based on the flexibility coefficient of monolithic truss structure, considering it comprehensively with the effects of lateral stiffness caused by the chords and webs, the lateral displacement expressions are deduced for rectangular space truss structure. Result of analysis of examples show that the application of the method mentioned in this paper to calculate the lateral displacement of space lattice beam with variable section is correct and effective which can be used for practical engineering. (paper)
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Source
ICMST 2016: 2. International Conference on Materials Science and Technology; Kerala (India); 5-8 Jun 2016; Available from http://dx.doi.org/10.1088/1757-899X/399/1/012034; Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
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Conference
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IOP Conference Series. Materials Science and Engineering (Online); ISSN 1757-899X;
; v. 399(1); [9 p.]

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AbstractAbstract
[en] Using quantum considerations based on the concept of lattice rearrangement waves, we carried out an analysis of processes of rearrangement of a crystal lattice occurring on a moving front (interface) of crystal rearrangement. For the introduction and quantization of these waves we use the method of acoustomechanical analogy and the Sommerfeld quantum conditions. We calculate the energies and the propagation velocities of the lattice rearrangement waves. Along with quanta having a certain momentum, quanta that have a certain angular momentum are introduced into consideration. On the basis of the concepts developed, we suggest a new expression for calculating the probability of thermofluctuational processes in a crystal. We perform a numerical analysis of the rate of growth of the γ-phase in iron in the process of α-γ-conversion. Satisfactory agreement with experiment is obtained. We discuss the limitations and prospects of further development of the concept suggested. For direct experimental verification of the concept we propose to investigate the diffraction of electrons and other particles on the lattice rearrangement waves, i.e., in the process of phase conversions or disintegration of crystals
Secondary Subject
Source
Translated from Inzhenerno-Fizicheskii Zhurnal; 68: No. 1, 136-142(Jan-Feb 1995).
Record Type
Journal Article
Literature Type
Translation
Journal
Journal of Engineering Physics and Thermophysics; ISSN 1062-0125;
; CODEN JEPTER; v. 68(1); p. 129-134

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AbstractAbstract
[en] The set of all possible magnetic space groups, belonging to the same crystallographic space group is generally redundant, many magnetic groups being equivalent by a change of axes and/or a shift of origin. The equivalency relations are established for each admissible k-vector in space groups with primitive and non primitive lattices. In turn a family of non equivalent magnetic space groups is entirely specified by giving for each crystallographic space group the admissible k-vectors and the coresponding equivalency relations. Their tabulation given here is equivalent to the complete enumeration of the 1421 magnetic space groups and, although more informative, does not take more space than the classical enumerations of Belov et al. and Opechowski et al
[fr]
L'ensemble de tous les groupes d'espace magnetiques possibles appartenant au meme groupe d'espace cristallographique est en general surabondant, car beaucoup de groupes magnetiques peuvent etre rendue equivalents par un changement d'axes et/ou un deplacement de l'origine. On etablit les relations d'equivalence pour chaque vecteur d'onde k admissible dans les groupes d'espace a mailles primitive et non primitive. Reciproquement, une famille de groupes d'espace magnetiques non equivalents est entierement specifiee par l'indication des vecteurs d'onde k admissibles et par les relations d'equivalence correspondantes. Leur tabulation donnee ici est equivalente a l'enumeration complete des 1421 groupes d'espace magnetiques et bien que contenant plus d'information, ne prend pas plus de place que les enumerations classiques de Belov et al. et d'Opechowski et alRecord Type
Journal Article
Journal
Annales de Physique (Paris); v. 9(2); p. 109-124
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Hinarejos, M; Pérez, A; Bañuls, M C, E-mail: banulsm@mpq.mpg.de2013
AbstractAbstract
[en] In a recent paper (2012 New J. Phys. 14 103009), we proposed a definition of the Wigner function for a particle on an infinite lattice. Here we argue that the criticism to our work raised by Bizarro is not substantial and does not invalidate our proposal. (reply to comment)
Primary Subject
Source
Available from http://dx.doi.org/10.1088/1367-2630/15/6/068002; Country of input: International Atomic Energy Agency (IAEA)
Record Type
Journal Article
Journal
New Journal of Physics; ISSN 1367-2630;
; v. 15(6); [4 p.]

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