File:Projection.svg
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| Description |
English: Graphical illustration of the spontaneous breaking of rotational invariance of the nuclear force, and of angular momentum projection. At the mean-field level, the energy of the nucleus may be lower if the system is deformed, thereby breaking rotational invariance. However, all orientations of the deformed nucleus yield the same energy: combining them using projection techniques restores rotational invariance, and lowers even more the energy of the system (correlation energy). After projection, the wave-function of the nucleus is not a Slater determinant anymore, but a not-trivial correlated wave-function.
Français : Illustration graphique de la brisure spontanée de l'invariance par rotation de la force nucléaire, et de la projection sur le moment angulaire. Au niveau du champ-moyen, l'énergie du noyau peut être plus basse si le système se déforme, ce qui brise l'invariance par rotation. Cependant, toutes les orientations du noyau déformé ont la même énergie: on peut les combiner en utilisant des techniques de projection de façon à la fois à restaurer l'invariance par rotation et à abaisser encore l'énergie du système (énergie de corrélation). Après projection, la fonction d'onde du noyau n'est plus un déterminant de Slater, mais une fonction d'onde corrélée (non-triviale). |
| Date | |
| Source | Own work |
| Author | Schunck |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 23:53, 17 October 2010 | | 1,052 × 744 (80 KB) | Schunck (talk | contribs) | {{Information |Description={{en|1=Graphical illustration of the spontaneous breaking of rotational invariance of the nuclear force, and of angular momentum projection. At the mean-field level, the energy of the nucleus may be lower if the system is deform |
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