力学量算符的正规积形式和相干态表象中的薛定谔方程

The Normally Ordered Form of Operators and the Schrodinger Equation in Coherent-states Representation

本文利用算符代数方法导出了把力学量算符化为正规乘积的一般公式,并由此得到薛定谔方程在相干态表象中的形式。发现在相干态表象中,决定束缚态能量本征值的条件是波函数的解析性,而不是平方可积性。

In this paper, we got the normally ordered form of quantum mechanics operators using the Algebraic technique and the Schr(?)dinger equation in cohcrent-states representation. We find that the condition determining the energy spectrum in the coherent states representation is the analyticity of wave functions.