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1.
We study the basic properties of the Maxwell equations for nonlinear inhomogeneous media. Assuming the classical nonlinear optics representation for the nonlinear polarization as a power series, we show that the solution exists and is unique in an appropriate space if the excitation current is not too large. The solution to the nonlinear Maxwell equations is represented as a power series in terms of the solution of the corresponding linear Maxwell equations. This representation holds at least for the time period inversely proportional to the appropriate norm of the solution to the linear Maxwell equation. We derive recursive formulas for the terms of the power series for the solution including an explicit formula for the first significant term attributed to the nonlinearity. 相似文献
2.
Cesare Oliva Anatoli V. Vishniakov Ivan E. Mukovozov Giorgio Termignone Lucio Forni 《Radiation Physics and Chemistry》1995,45(6):945-948
Evidence of quantum spin fluid and of quantum spin glass behaviour has been detected by extended EPR analysis in some La-cuprate catalysts of general formula La2−xEuxCuO4 + δ. Some features of the EPR spectrum, appearing in a few cases, are also discussed and attributed to a pseudo Jahn-Teller effect due to a particular coordination of up to five oxygen ions around surface copper ions at low temperature. 相似文献
3.
We report microscopic calculations of free energies and entropies for intramolecular electron transfer reactions. The calculation algorithm combines the atomistic geometry and charge distribution of a molecular solute obtained from quantum calculations with the microscopic polarization response of a polar solvent expressed in terms of its polarization structure factors. The procedure is tested on a donor–acceptor complex in which ruthenium donor and cobalt acceptor sites are linked by a four-proline polypeptide. The reorganization energies and reaction energy gaps are calculated as a function of temperature by using structure factors obtained from our analytical procedure and from computer simulations. Good agreement between two procedures and with direct computer simulations of the reorganization energy is achieved. The microscopic algorithm is compared to the dielectric continuum calculations. We found that the strong dependence of the reorganization energy on the solvent refractive index predicted by continuum models is not supported by the microscopic theory. Also, the reorganization and overall solvation entropies are substantially larger in the microscopic theory compared to continuum models. 相似文献
4.
Anatoli Korkin Mikhail Glukhovtsev Paul von Ragu Schleyer 《International journal of quantum chemistry》1993,46(1):137-144
Silicon analogs of aromatic monocyclic ions, (SiH) ( 4 ), (SiH) ( 5 ), and (SiH) ( 6 ) have been studied ab initio at MP 2(full)/6-31G *. The D3h structure of Si3H3+ is the global minimum, whereas other two ions are nonplanar. The D2d structure of (SiH) is less folded than the carbon analog and possesses a higher stabilization energy. Stabilization energies for the monocharged ions are diminished with respect to the corresponding carbons © 1993 John Wiley & Sons, Inc. 相似文献
5.
E. Ardashev V. Avdeichikov V. Balandin G. Bogdanova V. Dunin O. Gavrishchuk V. Golovkin S. Golovnya S. Gorokhov A. Isupov A. Kazakov A. Kholodenko A. Kiryakov E. Kokoulina A. Kutov N. Kuzmin I. Lobanov V. Nikitin Yu. Petukhov G. Pokatashkin M. Polkovnikov V. Popov S. Reznikov V. Rogov V. Ronzhin I. A. Rufanov V. Ryadovikov Yu. Tsyupa V. Volkov A. Vorobiev N. Zhidkov L. Zolin 《The European Physical Journal A - Hadrons and Nuclei》2016,52(8):261
6.
7.
Anatoli F. Ivanov Musa A. Mammadov Sergei I. Trofimchuk 《Journal of Global Optimization》2013,56(2):251-263
A class of scalar nonlinear difference equations with delay is considered. Sufficient conditions for the global asymptotic stability of a unique equilibrium are given. Applications in economics and other fields lead to consideration of associated optimal control problems. An optimal control problem of maximizing a consumption functional is stated. The existence of optimal solutions is established and their stability (the turnpike property) is proved. 相似文献
8.
Anatoli I. Brusilovets V. Bdjhola T. Lis A. Savitsky 《Phosphorus, sulfur, and silicon and the related elements》2013,188(1):729-732
The interaction of 1,3,2,4 -oxaazaphosphatitanetidines with chlorides of aluminium and zirconium, alcohols, piperidine and R2NBr (R=SiMe3) has been studied. The reaction routes have been determined with NMR spectra and X-ray structure analyses. 相似文献
9.
10.
Anatoli Tchigvintsev Dmitri Tchigvintsev Robert Flick Ana Popovic Aiping Dong Xiaohui Xu Greg Brown Wenyun Lu Hong Wu Hong Cui Ludmila Dombrowski Jeong Chan Joo Natalia Beloglazova Jinrong Min Alexei Savchenko Amy A. Caudy Joshua D. Rabinowitz Alexey G. Murzin Alexander F. Yakunin 《Chemistry & biology》2013,20(11):1386-1398