量子力学-力学量本征值的代数解法(1):升降算符

前言：

In many textbooks, wave mechanic method is often used to solve the energy eigenvalue of harmonic oscillator model, that is, to solve Schrodinger equation. The key to solve this kind of problem is to solve the differential equation, which is often a complicated thing. After introducing the concept and basic model of quantum mechanics, many textbooks also introduce the algebraic solution of eigenvalue problem. This method requires higher skills, but the solving process is simpler than solving differential equations.