Approximation Methods of Quantum Mechanics

Shu Hotta

Jaroslav Zamastil, Jakub Benda

Paolo Amore, Alfredo Aranda, Francisco Marcelo Fernández +1 more

Xie Chang-zhen

There is some limitation using the perturbation method to slove the perturbation problem in quantum mechanics. In this paper, by using iteration and variation method, the perturbation problem in quantum mechanics will be sloved. The approximation values of base energy and wave function are obtained. Moreover, the approximation values of n-level energy E-n and the corresponding wave functions ｛Ψ-n｝ are also given.

Nandita Rudra

In quantum mechanics as in classical mechanics, there are a relatively few physical problems that can be solved exactly. Thus one has to take recourse to approximate methods. We start with semi-classical approximation in the next section.

Wen Li Yu, Hui Qiu Du

Wenzel-Kramers-Brillouin (WKB) method being an approximation method in quantum mechanics has been applied widely. For the potential problems WKB approximation method is taken as an effective technology. With the help of the WKB approximation method the quantum conditions of bound States particle being in three different typical one dimension (1D) potential well models are derived in this paper. In addition, the idea of the WKB approximation method and the procedures dealing with the potential problems are demonstrated clearly, which are very helpful for understanding the quantum conditions of 1D potential well models deeply and mastering the WKB approximation method to solve some related problems in quantum mechanics.