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The analysis of initial-boundary value problems for nonlinear evolution equations with a small parameter is carried out by projection and averaging. The complications of the extension to a second order approximation is discussed and subsequently demonstrated for the perturbed Klein-Gordon equation. The difference between the case of resonance and nonresonance at first order is emphasized.  相似文献   
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Knorr  A.  Steininger  F.  Girndt  A.  Stroucken  T.  Haas  S.  Thomas  P.  Koch  S. W. 《Il Nuovo Cimento D》1995,17(11):1265-1276
Il Nuovo Cimento D - The transport of radiative and electronic excitations in coherently driven semiconductor quantum wells is analysed. On ultrashort time scales the spatial dynamics is determined...  相似文献   
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The Wannier equation for quasiparticles with a linear dispersion is investigated. It is shown that Coulomb bound compounds of mass less electron-hole pairs can only exist if the effective coupling strength exceeds the critical value of approximately 0.46. At the critical value, a second-order transition to a weak Coulomb regime is found. It is shown that the existence of bound excitons indicates an instability of the noninteracting ground state.  相似文献   
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Simulations of Maxwell’s equations for electromagnetic waves interacting with planar chiral structures are shown to depend on the polarization state of the exciting light field. These results illustrate generic features of light interaction with planar chiral structures and imply broken enantiomeric symmetry for excitation with circularly polarized light. PACS 78.67.-n; 11.30.-j  相似文献   
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