薛定谔方程Hughston随机延拓中独立系统的状态向量崩溃概率和可分性
State Vector Collapse Probabilities and Separability of Independent Systems in Hughston's Stochastic Extension of the Schrödinger Equation
摘要：
我们给出了一个一般性的证明，Hughston的随机扩展的薛定谔方程导致状态矢量崩溃的能量本征态，与崩溃概率由量子力学概率计算的初始状态。我们还表明，对于一个系统组成的独立的子系统，休士顿方程分离成类似的独立方程的每个子系统，相关的只有通过共同的维纳过程，驱动状态还原。
英文摘要：
We give a general proof that Hughston's stochastic extension of the Schrödinger equation leads to state vector collapse to energy eigenstates, with collapse probabilities given by the quantum mechanical probabilities computed from the initial state. We also show that for a system composed of independent subsystems, Hughston's equation separates into similar independent equations for the each of the subsystems, correlated only through the common Wiener process that drives the state reduction.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
