dorsal/arxiv
View SchemaChaos and Order in the Shell Model Eigenvectors
| Authors | Vladimir Zelevinsky, Mihai Horoi, B. Alex Brown |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9405028 |
| URL | https://arxiv.org/abs/nucl-th/9405028 |
Abstract
The energies and wave functions of stationary many-body states are analyzed to look for the signatures of quantum chaos. Shell model calculations with the Wildenthal interaction are performed in the $J-T$ scheme for 12 particles in the $sd$-shell. The local level statistics are in perfect agreement with the GOE predictions. The analysis of the amplitudes of the eigenvectors in the shell model basis with the aid of the informational entropy and moments of the distribution function shows evidence for local chaos with a localization length reaching 90\% of the total dimension in the middle of the spectrum. The degree of chaoticity is sensitive to the the strength of the residual interaction as compared to the single particle energy spacing.
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"abstract": "The energies and wave functions of stationary many-body states are analyzed\nto look for the signatures of quantum chaos. Shell model calculations with the\nWildenthal interaction are performed in the $J-T$ scheme for 12 particles in\nthe $sd$-shell. The local level statistics are in perfect agreement with the\nGOE predictions. The analysis of the amplitudes of the eigenvectors in the\nshell model basis with the aid of the informational entropy and moments of the\ndistribution function shows evidence for local chaos with a localization length\nreaching 90\\% of the total dimension in the middle of the spectrum. The degree\nof chaoticity is sensitive to the the strength of the residual interaction as\ncompared to the single particle energy spacing.",
"arxiv_id": "nucl-th/9405028",
"authors": [
"Vladimir Zelevinsky",
"Mihai Horoi",
"B. Alex Brown"
],
"categories": [
"nucl-th"
],
"title": "Chaos and Order in the Shell Model Eigenvectors",
"url": "https://arxiv.org/abs/nucl-th/9405028"
},
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