论文标题
关于雷利 - 里兹变分的方法
On the Rayleigh-Ritz variational method
论文作者
论文摘要
我们简单地证明了一个众所周知的事实，即雷利 - 里兹（Rayleigh-Ritz）变异方法提供的近似特征值越来越准确地与确切的上限。为此，我们求助于大多数有关量子化学教科书中提到的变异原理，以及一组知名的投影算子。我们认为目前的方法可能适合于量子力学或量子化学的高级课程。
We give a simple proof of the well known fact that the approximate eigenvalues provided by the Rayleigh-Ritz variational method are increasingly accurate upper bounds to the exact ones. To this end, we resort to the variational principle, mentioned in most textbooks on quantum chemistry, and to a well known set of projection operators. We think that present approach may be suitable for an advanced course on quantum mechanics or quantum chemistry.
