With the ire@ of the variation principie a necessary condition is derived for wavefunctionsbf the form Cpo f x in order that they arc solutions of the Schrtidinger equation. It is then shown that variationaIly optimal approximate !cnvcfuncticns aIso satisfy tllis condition and that it may be used to
Treatment of constants of motion in the variation principle. Symmetry properties of variational wavefunctions
✍ Scribed by Bernard Laskowski; Per-Olov Löwdin
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 281 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0009-2614
No coin nor oath required. For personal study only.
✦ Synopsis
It is shown that, if the hamiltonian H has a normal constant of motion A or n group G = {g) o f such wnstants, and if the subspace AI is stable under A or the group G = {g), then the vxiational solutions 6 show exactly the same type of symmetry properties as the exact eigenfunctions.
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