Ways to describe dynamical state-vector reduction.

Ways to describe dynamical state-vector reduction.
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DOI:
10.1103/physreva.48.913
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发表时间:
1993-08
期刊:
Physical review. A, Atomic, molecular, and optical physics
影响因子:
--
通讯作者:
Pearle
Pearle
中科院分区:
其他
文献类型:
--
作者:
Pearle

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状态向量归约的连续自发局域化(CSL)描述允许人们用状态向量来描述现实。该理论的数学结构,基于一个c-数白噪声源与量子系统的相互作用,进行了审查。然后,这种描述被概括为两种方式。首先,推广到广泛的一类c-数随机过程:使用过程的概率密度泛函的平方根,它示出了如何构造一个演化方程的状态向量,从而导致状态向量减少。其次,在这个更广泛的框架内,c数源被完全消除,并被量子算符所取代,称为“索引”算符,代表与量子系统相互作用的新物理变量。
The continuous-spontaneous-localization (CSL) description of state-vector reduction allows one to describe reality by the state vector. The mathematical structure of the theory, based upon a c-number white-noise source interacting with the quantum system, is reviewed. Then this description is generalized in two ways. First, a generalization is made to a wide class of c-number stochastic processes: using the square root of the probability density functional of the process, it is shown how to construct an evolution equation for the state vector which results in state-vector reduction. Second, within this wider framework the c-number source is completely eliminated and replaced by quantum operators, dubbed «index» operators, representing new physical variables which interact with the quantum system