准幺正算符及其应用

Quasi - Unitray Operator and Its Applications

本文研究了希尔伯特空间中准幺正算符的性质。我们发现相干态理论中的相因子算符是一个准幺正算符,因此它不能表示为指数形式。量子力学中的超对称变换实际上是一种准幺正变换,故由超对称变换可以得到新的量子势。

In this paper the properties of quasi - unitray operator in the Hilbert space are discussed. We find the phase - factor operator is actually a quasi - unitray operator and the super symmetric translation in quantum mechanics is a quasi - unitrary translation so a new quantum potential can be obtained by means of the Super symmetric translation.