摘要
Dirac把量子力学的对易关系类比于经典力学中的泊松括号,建立起非相对论量子力学中的普遍变换理论.但是该理论本身能否再发展呢?本文介绍如何架设一个把经典正则变换(切变换)直接地过渡为希尔伯特空间中正规乘积形式的量子力学么正算符的“桥梁”.
Dirac connected the quantum mechanical commutators with the classical Poisson brackets,and established the transformation theory for non-relativistic quantum mechanics. In this work a discussion is presented about how to develop Dirac's transformation theory and an approach is suggestedfor directly transiting the classical canonical transformations to normally ordered quantum mechanicalunitary operators in Hilbert space.
关键词
变换理论
正则变换
狄拉克变换
量子力学
transformation theory, canonical transformation, normally ordered unitary operators