论文标题
W* - 无限耗散量子系统的动力学
W*-Dynamics of Infinite Dissipative Quantum Systems
论文作者
论文摘要
我们在Schroedinger图片中制定了无限扩展的开放式量子系统，$ {σ] $的动态。基于此基于的通用模型包括c*-algebra，$ [\ cal a} $，可观察到的folium，forium，$ {\ cal f} $ native $ {\ cal f} $ lingebra and paramirigr的状态， $ {\ cal f} $代表其动力学，并由有限系统的相应半群的自然无限体积限制给出。在此基础上，我们确定$σ$的动态是由一个完全正面转换为w*-star代数二的一个参数半群给出的。该结果可以扩展我们的早期配方[1 [无限扩展的保守系统以打开耗散系统。
We formulate the dynamics of an infinitely extended open dissipative quantum system, ${Σ]$,in the Schroedinger picture.The generic model on which this is based comprises a C*-algebra,$[\cal A}$,of observables, a folium, ${\cal F}$, of states on this algebra and a one parameter semigroup,$τ$, of linear transformations of ${\cal F}$ that represents its dynamics and is given by a natural infinite volume limit of the corresponding semigroup for a finite system. On this basis, we establish that the dynamic of $Σ$ is given by a one parameter semigroup of completely positive transformations of the W*-star algebra dual to ${\cal F}$. This result serves to extend our earlier formulation [1[ of infinitely extended conservative systems to open dissipative ones.
