计算多光子跃迁几率的一种方法

A Theoretical Method for Calculating the Probabilities of Multiphoton Transitions

本文探讨一种便于实际计算的多光子跃迁理论。它与普通的微扰理论相比,既有相似之处,也有重要的差别。主要作法是:对原子-辐射场采用非相对论半径典方式描写,然后从薛定谔绘景转到Kramers绘景,并在这新绘景中近似求解薛定谔方程,最后得出N光子跃迁的几率公式,并对结果作了一些讨论。

In this paper, we develop a theoretical method for calculating the probabilities of multiphoton transitions. Our results show that the present method is in agreement with the traditional perturbation method under weak field limit, but the practical calculations based on the former are much simpler than the latter. On the other hand, the present method can produce the essential features of saturation phenomenon which appears in the case of strong fields. The main ideas in the present paper are as follows. Firstly, the approach of semiclassical description is adopted. Secondly, using the Kramers-Henneberger transformation, the Schrodinger equation in the Kramers picture is found and solved approximately. Thirdly, the formula of multiphoton transition probability is derived. Some discusions for the results are carried out finally.