Stochastic reduction in nonlinear quantum mechanics
Stochastic reduction in nonlinear quantum mechanics
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DOI：
10.1098/rspa.2001.0914
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发表时间：
2002-05-08
影响因子：
3.5
通讯作者：
Hughston, LP
中科院分区：
文献类型：
--
作者：
Brody, DC;Hughston, LP
薛定谔方程的随机扩展最近作为量子力学中态约化的合理模型引起了人们的注意。在这里，我们制定了一个一般的方法，随机薛定谔动力学的情况下，提出的Kibble类型的非线性状态空间。我们推导出一些新的身份观察的非线性理论，并建立一般标准的曲率的状态空间足以确保崩溃的波函数。
Stochastic extensions of the Schrodinger equation have attracted attention recently as plausible models for state reduction in quantum mechanics. Here we formulate a general approach to stochastic Schrodinger dynamics in the case of a nonlinear state space of the type proposed by Kibble. We derive a number of new identities for observables in the nonlinear theory, and establish general criteria on the curvature of the state space sufficient to ensure collapse of the wave function.