用超对称量子力学思想构造适用于氢原子及其相关势的产生-湮没算子

Construction of the Creation-Annihilation Operators for the Hydrogen Atom aud Related Potentials with tbe Concepts of Supersymmetric Quantum Mechanics

由本文构造出的新的产生与湮没算子可使人们用代数方法来确定氢原子及其相关势的本征值和本征函数。该法类似于众所周知的谐振子方法。

Using new creation-annihilation operators constructed in this work, we are able to deter- mine the eigenvalues and eigenfunctions of the hydrogen alien by algebraic method, which is analogous to the well-known procedure for is Eudying the harmonic oscillator.