dorsal/arxiv
View SchemaClasscial Bifurcation and Enhancement of Quantum Shells --- Systematic Analysis of Reflection-Asymmetric Deformed Oscillator ---
| Authors | Ken-ichiro Arita, Kenichi Matsuyanagi |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9504030 |
| URL | https://arxiv.org/abs/nucl-th/9504030 |
| DOI | 10.1016/0375-9474(95)00219-Q |
Abstract
Correspondence between classical periodic orbits and quantum shell structure is investigated for a reflection-asymmetric deformed oscillator model as a function of quadrupole and octupole deformation parameters. Periodic orbit theory reveals several aspects of quantum level structure for this non-integrable system. Good classical- quantum correspondence is obtained in the Fourier transform of the quantum level density, and importance of periodic orbit bifurcation is demonstrated. Systematic survey of the local minima of shell energies in the two-dimensional deformation parameter space shows that prominent shell structures do emerge at finite values of the octupole parameter. Correspondences between the regions exhibiting strong shell effects and the classical bifurcation lines are investigated, and significance of these bifurcations is indicated.
{
"annotation_id": "fbc23350-0ebd-45e5-8015-973d67729656",
"date_created": "2026-03-02T18:00:14.919000Z",
"date_modified": "2026-03-02T18:00:14.919000Z",
"file_hash": "3bc18972aa0c8bfa8176ec768b772ba9e3bd7f1bcf49ed6e349e880c508ccd40",
"private": false,
"record": {
"abstract": "Correspondence between classical periodic orbits and quantum shell structure\nis investigated for a reflection-asymmetric deformed oscillator model as a\nfunction of quadrupole and octupole deformation parameters. Periodic orbit\ntheory reveals several aspects of quantum level structure for this\nnon-integrable system. Good classical- quantum correspondence is obtained in\nthe Fourier transform of the quantum level density, and importance of periodic\norbit bifurcation is demonstrated. Systematic survey of the local minima of\nshell energies in the two-dimensional deformation parameter space shows that\nprominent shell structures do emerge at finite values of the octupole\nparameter. Correspondences between the regions exhibiting strong shell effects\nand the classical bifurcation lines are investigated, and significance of these\nbifurcations is indicated.",
"arxiv_id": "nucl-th/9504030",
"authors": [
"Ken-ichiro Arita",
"Kenichi Matsuyanagi"
],
"categories": [
"nucl-th",
"chao-dyn",
"cond-mat",
"nlin.CD"
],
"doi": "10.1016/0375-9474(95)00219-Q",
"title": "Classcial Bifurcation and Enhancement of Quantum Shells --- Systematic Analysis of Reflection-Asymmetric Deformed Oscillator ---",
"url": "https://arxiv.org/abs/nucl-th/9504030"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "11abde13-24d7-418f-a186-febe581f20e5",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}