The Spatiotemporal Evolution of Wave Packets under Chaotic Condition

来源 :理论物理通讯 | 被引量 : 0次 | 上传用户:jchangmafco
下载到本地 , 更方便阅读
声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架
论文部分内容阅读
Using the minimum uncertainty state of quantum integrable system H0 as initial state,the spatiotemporal evolution of the wave packet under the action of perturbed Hamiltonian is studied causally as in classical mechanics. Due to the existence of the avoided energy level crossing in the spectrum there exist nonlinear resonances between somepairs of neighboring components of the wave packet,the deterministic dynamical evolution becomes very complicated and appears to be chaotic.It is proposed to use expectation values for the whole set of basic dynamical variables and the corresponding spreading widths to describe the topological features concisely such that the quantum chaotic motion can be studied in contrast with the quantum regular motion and well characterized with the asymptotic behaviors.It has been demonstrated with numerical results that such a wave packet has indeed quantum behaviors of ergodicity asin corresponding classical case.
其他文献
We analytically study the nonlinear localized gap modes in a one-dimensional atomic chain with uniform atomic mass but two periodically alternating force consta
By the unitary transformation method,the instantaneous energy eigenstates of the L-S coupled systetn in a time-dependent magnetic field,hence the Berry phases,a
Two grafting methods, i.e. solution grafting and pre-adsorbing, are introduced to covalently immobilize hydrophilic polymers on segmented polyurethane (SPU) to
As an example of the use of the analytical formulas derived for electric multipole moment integrals over STOs in our previous work (I.L Guseinov,et al.,J.Mol.St
The effects of interchannel scattering of conduction electrons by the impu rity and repulsion of conduction electrons at the impurity site on the two-channel Ko
The conformational entropy S and free energy F were calculated by exact enumeration of polysilane chain up to 23 segments with excluded volume (EV) and long-ran
Usually,one considers only the group velocity dispersion (GVD)- and self-phase modulation (SPM)-induced solitons in optic soliton communication while other high
The reaction process during synthesis of LiMn2 O4 with LiOH. H2 O and MnO2 was studied by means of DTA in dynamical air atmosphere, and it could be applied as a
We analyze the properties of the excited solitary-wave model in the case of anharmonic-interaction of heavy ionic lattice in hydrogen bond systems.In this case,
The explicit expressions for indecomposable representations ofnine square-root Lie algebras of vector type,Rレイ (v,ィ = 0,+-1),are obtained on the space of uni