## Abstract A previously given iterative procedure to improve wave functions is analyzed. Its relationship with other wellโknown approximation methods is investigated. Hypervirial operators depending on a real parameter are proposed and their connection with the employment of an infinite number of
On the hypervirial theorem and the scaling problem
โ Scribed by M. S. Gopinathan
- Publisher
- John Wiley and Sons
- Year
- 1976
- Tongue
- English
- Weight
- 384 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0020-7608
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โฆ Synopsis
Abstract
It is shown that waveโfunctions obtained by a limited number of offโdiagonal hypervirial relations are often out of scale. Optimum scaling of these functions so as to satisfy the virial theorem gives highly improved waveโfunctions and expectation values. The harmonic oscillator problem is treated as an example.
๐ SIMILAR VOLUMES
The inversion problem in classical electrodynamics is investigated in great detail in connection with the "Casimir theorem" which states that given all multipoles (both electric and magnetic) of a given charge and current distribution localized in a finite region, the electromagnetic field outside t