Heisenberg对应原理下氢原子1/r矩阵元的量子-经典对应

The quantum-classical correspondence of matrix elements of hydrogen atom's inverse radius in Heisenberg principle

通过详细计算表明 ,在准经典情况下 ,氢原子 1 r的矩阵元的量子力学结果与它的Heisenberg矩阵元近似相等 ,在经典极限下 ,它们相同 .

Explicit calculation shows that the zero order of quantum mechanical matrix elements of hydrogen atom's inverse radius in the quasi-classical case are Heisenberg matrix elements, and the first-order term plays a role when the difference between the principal quantum numbers is large. In the classical limit, quantum mechanical results are identical to Heisenberg ones.