Propagation of chaos for many-boson systems in one dimension with a point pair-interaction
Propagation of chaos for many-boson systems in one dimension with a point pair-interaction
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具有点对相互作用的一维多玻色子系统的混沌传播
DOI：
10.3233/asy-2011-1064
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
S. Breteaux
中科院分区：
文献类型：
--
作者：
Z. Ammari;S. Breteaux
本文研究了一维空间中具有δ势的非相对论量子多玻色子系统的半经典极限。利用Bogoliubov含时仿射变换证明了时间演化相干态的压缩态性质。这使我们能够获得与Hepp和Ginibre-Velo（[Hep]，[GiVe 1，GiVe 2]）证明的性质类似的性质，并证明
We consider the semiclassical limit of nonrelativistic qua ntum many-boson systems with delta potential in one dimensional space. We prove that time evolved coherent states behave semiclassically as squeezed states by a Bogoliubov time-dependent affine trans formation. This allows us to obtain properties analogous to those proved by Hepp and Ginibre-Velo ([Hep], [GiVe1, GiVe2]) and also to show