Magner, A. G. ; Arita, K.-i. 
; Fedotkin, S. N. ; Matsuyanagi, K.
Alternative Links zum Volltext:DOIVerlag
| Dokumentenart: | Artikel |
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| Titel eines Journals oder einer Zeitschrift: | Progress of Theoretical Physics |
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| Verlag: | PROGRESS THEORETICAL PHYSICS PUBLICATION OFFICE |
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| Ort der Veröffentlichung: | KYOTO |
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| Band: | 108 |
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| Nummer des Zeitschriftenheftes oder des Kapitels: | 5 |
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| Seitenbereich: | S. 853-901 |
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| Datum: | 2002 |
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| Institutionen: | Physik > Institut für Theoretische Physik |
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| Identifikationsnummer: | | Wert | Typ |
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| 10.1143/PTP.108.853 | DOI |
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| Stichwörter / Keywords: | SEMICLASSICAL TRACE FORMULAS; NEAR-INTEGRABLE SYSTEMS; SHELL STRUCTURE; UNIFORM APPROXIMATION; DEFORMED-NUCLEI; BOUND SPECTRUM; METAL-CLUSTERS; BILLIARD; RESONANCES; FISSION; |
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| Dewey-Dezimal-Klassifikation: | 500 Naturwissenschaften und Mathematik > 530 Physik |
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| Status: | Veröffentlicht |
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| Begutachtet: | Ja, diese Version wurde begutachtet |
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| An der Universität Regensburg entstanden: | Ja |
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| Dokumenten-ID: | 72677 |
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Zusammenfassung
We derive a semiclassical trace formula for the level density of a three-dimensional spheroidal cavity. To overcome the divergences and discontinuities occurring at bifurcation points and in the spherical limit, the trace integrals over the action-angle variables are performed using an improved stationary phase method. The resulting semiclassical level density oscillations and shell energies are ...
Zusammenfassung
We derive a semiclassical trace formula for the level density of a three-dimensional spheroidal cavity. To overcome the divergences and discontinuities occurring at bifurcation points and in the spherical limit, the trace integrals over the action-angle variables are performed using an improved stationary phase method. The resulting semiclassical level density oscillations and shell energies are in good agreement with quantum-mechanical results. We find that the births of three-dimensional orbits through the bifurcations of planar orbits in the equatorial plane lead to considerable enhancement of the shell effect for superdeformed shapes.
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