## Abstract A procedure to improve trial wave functions is given in terms of the off‐diagonal hypervirial theorem. This procedure is closely related to the optimum scaling method which is valid for the diagonal hypervirial theorem. The second excited state of the one‐dimensional oscillator model is
Further analysis of the iterative hypervirial-scaling method
✍ Scribed by Francisco M. Fernández; Eduardo A. Castro
- Publisher
- John Wiley and Sons
- Year
- 1980
- Tongue
- English
- Weight
- 429 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0020-7608
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
A previously given iterative procedure to improve wave functions is analyzed. Its relationship with other well‐known approximation methods is investigated. Hypervirial operators depending on a real parameter are proposed and their connection with the employment of an infinite number of hypervirial relations is analyzed. A way to use formulas that are valid for exact eigenfunctions in the case of approximate functions is presented. Formal results are applied to the harmonic oscillator and hydrogen atom models in order to show their practical utilization.
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