混合态的不确定关系与压缩效应

在关于混合态的海森堡不确定关系的基础上，研究了纯态和混合态的最小不确定性和压缩效应.虽然最小不确定态必定是纯态，但在某些并非最小不确定态的纯态或混合态中，依然可 以实现力学量不确定度的压缩.还给出了普通统计学的不确定关系，它们不涉及量子相干性却与量子力学的海森堡不确定关系具有相似的数学结构. 关键词： 混合态 最小不确定性 压缩效应

The uncertainty relations and squeezing effects for mixed states

Based upon the Heisenberger's uncertainty relations for mixed states, the minimum uncertainty and squeezing effects are studies. Although all minimum uncertainty states must be pure states, the nucertainty of one dynamical variable can be squeezed in some pure states or mixed states, even if they are not minimum uncertainty states for the pair of dynamical variables. In addition, we present the general uncertainty relation of statistics, which has the similar mathmatical structure of Heisenberg's indeterminacy principle, but has no relation with quantum interfernce.