Results 81 to 90 of about 111,630 (280)

AFFINE LIE ALGEBRA SYMMETRY OF SINE-GORDON THEORY AT REFLECTIONLESS POINTS [PDF]

Modern Physics Letters A, 1996
The quantum affine symmetry of the sine-Gordon theory at q2=1, which occurs at the reflectionless points, is studied. Conserved currents that correspond to the closure of simple root generators are considered, and shown to be local. We argue that they satisfy the [Formula: see text] algebra. Examples of these currents are explicitly constructed.
Leclair, André, Nemeschansky, Dennis
openaire   +3 more sources

Lie symmetries for two-dimensional charged particle motion

, 2002
We find the Lie point symmetries for non-relativistic two-dimensional charged particle motion. These symmetries comprise a quasi-invariance transformation, a time-dependent rotation, a time-dependent spatial translation and a dilation.
Abraham-Schrauner B, Arnold V I, Bluman G W, Bouquet S, Dewisme A, Ermakov V P, F Haas, Haas F, J Goedert, Leach P G L, Leach P G L, Lewis H R, Lewis H R, Munier A, Pinney E, Ritter O M, Sarlet W   +16 more
core   +2 more sources

Workflow for Design of Experiments‐Based Modeling of Species Transport and Growth Kinetics in GaN Hydride Vapor Phase Epitaxy

Advanced Engineering Materials, EarlyView.
A novel workflow for investigating hydride vapor phase epitaxy for GaN bulk crystal growth is proposed. It combines Design of experiments (DoE) with physical simulations of mass transport and crystal growth kinetics, serving as an intermediate step between DoE and experiments.
J. Tomkovič, G. Lukin, H. Torkashvand, A. Kerschbaum, M. Müller, S. Besendörfer, J. Heitmann, J. Friedrich   +7 more
wiley   +1 more source

Noether Symmetries and Critical Exponents

Symmetry, Integrability and Geometry: Methods and Applications, 2005
We show that all Lie point symmetries of various classes of nonlinear differential equations involving critical nonlinearities are variational/divergence symmetries.
Yuri Bozhkov
doaj  

Polynomial Time Nondimensionalisation of Ordinary Differential Equations via their Lie Point Symmetries [PDF]

, 2006
Lie group theory states that knowledge of a $m$-parameters solvable group of symmetries of a system of ordinary differential equations allows to reduce by $m$ the number of equation.
Hubert, Évelyne, Sedoglavic, Alexandre
core   +5 more sources

Exploring Dipolar Dynamics and Ionic Transport in Metal‐Organic Frameworks: Experimental and Theoretical Insights

Advanced Functional Materials, EarlyView.
In this study, the interplay of dipolar dynamics and ionic charge transport in MOF compounds is investigated. Synthesizing the novel structure CFA‐25 with integrated freely rotating dipolar groups, local and macroscopic effects, including interactions with Cs cations are explored.
Ralph Freund, Arthur Schulz, Peter Lunkenheimer, Maryana Kraft, Thomas Bergler, Harald Oberhofer, Dirk Volkmer   +6 more
wiley   +1 more source

Intermolecular Interactions as Driving Force of Increasing Multiphoton Absorption in a Perylene Diimide‐Based Coordination Polymer

Advanced Functional Materials, EarlyView.
This study uncovers the unexplored role of intermolecular interactions in multiphoton absorption in coordination polymers. By analyzing [Zn2tpda(DMA)2(DMF)0.3], it shows how the electronic coupling of the chromophores and confinement in the MOF enhance two‐and three‐photon absorption.
Simon Nicolas Deger, Anna Mauri, Yang Cui, Sebastian Josef Weishäupl, Ali Deniz Özdemir, Hamad Syed, Aleksandr Ovsianikov, Wolfgang Wenzel, Alexander Pöthig, Jürgen Hauer, Mariana Kozlowska, Roland Augustinus Fischer   +11 more
wiley   +1 more source

Invariant vector fields and the prolongation method for supersymmetric quantum systems

, 2005
The kinematical and dynamical symmetries of equations describing the time evolution of quantum systems like the supersymmetric harmonic oscillator in one space dimension and the interaction of a non-relativistic spin one-half particle in a constant ...
Ayari M A, Ayari M A, Beckers J, Beckers J, Bluman G W, Buzano C, Bérubé-Lauzière Y, Cooper F, de Crombrugghe M, Durand S, Fernández D J, Jaynes E T, Labelle P, Manin Yu I, Mathieu P, Nibaldo Alvarez-Moraga, Niederer U, Olver P J, Orzag M, Roelofs G H M, Salam A, V ronique Hussin, Wybourne B   +22 more
core   +1 more source

Understanding and Optimizing Li Substitution in P2‐Type Sodium Layered Oxides for Sodium‐Ion Batteries

Advanced Functional Materials, EarlyView.
This work explores Li‐substituted P2 layered oxides for Na‐ion batteries by crystallographic and electrochemical studies. The effect of lithium on superstructure orderings, on phase transitions during synthesis and electrochemical cycling and on the interplay of O‐ versus TM‐redox is revealed via various advanced techniques, including semi‐simultaneous 
Mingfeng Xu, Giovanni Gammaitoni, Michael Häfner, Eduardo Villalobos‐Portillo, Carlo Marini, Matteo Bianchini   +5 more
wiley   +1 more source

A Necessary Condition for existence of Lie Symmetries in Quasihomogeneous Systems of Ordinary Differential Equations

, 2001
Lie symmetries for ordinary differential equations are studied. In systems of ordinary differential equations, there do not always exist non-trivial Lie symmetries around equilibrium points.
Furta S. D., Goriely A., Ibragimov N. H., Kozlov V. V., Olver P. J., Yoshida H.   +5 more
core   +2 more sources