H_2O与NH_3分子简正坐标与压缩变换

Normal Coordinates and Reduction Matrices for Molecules H_2O and NH_3

对于Ｈ２Ｏ分子和ＮＨ３分子我们找到了把直角位移坐标约化为简正坐标（包括平动和转动）的约化矩阵和相应的映射到量子力学Ｈｉｌｂｅｒｔ空间的正规乘积形式的么正算符，它恰是旋转和压缩变换合成的效果．在计算中充分利用了在正规乘积内的积分技术（ＩＷＯＰ技术）．

For molecules H2O and NH3 are found the reduction matrices which can reduce their Cartesian coordinates (induding translation and rotation coordinates), the mapping of the reduction matrices to normally ordered unitary operators in Hilbert space is obtained by virtue of the technique of integration within an ordered product of operators which turns out to be the resultant transformation of rotation and squeezing