探讨多电子原子和分子Schrdinger方程的严格解析解——无穷三对角矩阵方程的解析解法

Probing into the exact analytic solution of Schrdinger equation for atom and molecular with electrons——The solution method of the infinite tridiagonal matrix equation

利用一元不等式组的解,把含有参数的无穷三对角矩阵描绘成正定矩阵集,再用Hadamard不等式,找到它的精确的零点.可以获得多电子原子和分子Schrdinger方程的严格解析解及其完整的表达式.

In the paper,the infinite tridiagonal matrixs with the parameter can be described as the set of posi-tive definite matrix in the solution of family of unary inequation.Thus,their accurate null points not only can befound by Hadamard inequation,but also the exact analytic solution of Schrdinger equation and its consummateexpression can be obtained easily for atom and molecular with electrons.