dorsal/arxiv
View SchemaShell Structures and Chaos in Deformed Nuclei and Large Metallic Clusters
| Authors | W. Dieter Heiss, Rashid G. Nazmitdinov, Stefanel Radu |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9409025 |
| URL | https://arxiv.org/abs/nucl-th/9409025 |
| DOI | 10.1088/0031-8949/1995/T56/028 |
Abstract
A reflection-asymmetric deformed oscillator potential is analysed from the classical and quantum mechanical point of view. The connection between occurrence of shell structures and classical periodic orbits is studied using the ''removal of resonances method'' in a classical analysis. In this approximation, the effective single particle potential becomes separable and the frequencies of the classical trajectories are easily determined. It turns out that the winding numbers calculated in this way are in good agreement with the ones found from the corresponding quantum mechanical spectrum using the particle number dependence of the fluctuating part of the total energy. When the octupole term is switched on it is found that prolate shapes are stable against chaos whereas spherical and oblate cases become chaotic. An attempt is made to explain this difference in the quantum mechanical context by looking at the distribution of exceptional points which results from the matrix structure of the respective Hamiltonians. In a similar way we analyse the modified Nilsson model and discuss its consequences for nuclei and metallic clusters.
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"abstract": "A reflection-asymmetric deformed oscillator potential is analysed from the\nclassical and quantum mechanical point of view. The connection between\noccurrence of shell structures and classical periodic orbits is studied using\nthe \u0027\u0027removal of resonances method\u0027\u0027 in a classical analysis. In this\napproximation, the effective single particle potential becomes separable and\nthe frequencies of the classical trajectories are easily determined. It turns\nout that the winding numbers calculated in this way are in good agreement with\nthe ones found from the corresponding quantum mechanical spectrum using the\nparticle number dependence of the fluctuating part of the total energy. When\nthe octupole term is switched on it is found that prolate shapes are stable\nagainst chaos whereas spherical and oblate cases become chaotic. An attempt is\nmade to explain this difference in the quantum mechanical context by looking at\nthe distribution of exceptional points which results from the matrix structure\nof the respective Hamiltonians. In a similar way we analyse the modified\nNilsson model and discuss its consequences for nuclei and metallic clusters.",
"arxiv_id": "nucl-th/9409025",
"authors": [
"W. Dieter Heiss",
"Rashid G. Nazmitdinov",
"Stefanel Radu"
],
"categories": [
"nucl-th",
"chao-dyn",
"cond-mat",
"nlin.CD"
],
"doi": "10.1088/0031-8949/1995/T56/028",
"title": "Shell Structures and Chaos in Deformed Nuclei and Large Metallic Clusters",
"url": "https://arxiv.org/abs/nucl-th/9409025"
},
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