量子随机过程的积分方程
Integral equation of quantum stochastic process
摘要：
为了描述随机量子过程，我提出了一个Volterra型积分方程，它一般不能转化为任何微分方程。这个过程是普通量子演化的一个组成部分，它承认量子浴的存在并还原到纯态。证明了一般解渐近稳定$t\to +\infty$到一个普遍的极限-到具有最大可用熵的状态的投影。提出了一些求解该方程的典型方法。
英文摘要：
To describe stochastic quantum processes I propose an integral equation of Volterra type which is not generally transformable to any differential one. The process is a composition of ordinary quantum evolution which admits presence of a quantum bath and reductions to pure states. It is proved that generically solutions stabilize asymptotically for $t\to +\infty$ to a universal limit - the projection onto the state with maximal available entropy. A number of typical methods of finding solutions of the equation are proposed.
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