Semiclassical Analysis of the Supershell Effect in Reflection-Asymmetric Superdeformed Oscillator | Zendy

Ken-ichiro Arita | Zendy; K. Matsuyanagi | Zendy

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Semiclassical Analysis of the Supershell Effect in Reflection-Asymmetric Superdeformed Oscillator

Author(s) -

Ken-ichiro Arita,

K. Matsuyanagi

Publication year - 1994

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp/91.4.723

Subject(s) - semiclassical physics , physics , reflection (computer programming) , periodic orbits , interference (communication) , quantum , quantum mechanics , connection (principal bundle) , classical mechanics , quantum electrodynamics , geometry , channel (broadcasting) , mathematics , computer science , electrical engineering , programming language , engineering

An oscillatory pattern in the smoothed quantum spectrum, which is unique forsingle-particle motions in a reflection-asymmetric superdeformed oscillatorpotential, is investigated by means of the semiclassical theory of shellstructure. Clear correspondence between the oscillating components of thesmoothed level density and the classical periodic orbits is found. It is shownthat an interference effect between two families of the short periodic orbits,called supershell effect, develops with increasing reflection-asymmetricdeformations. Possible origins of this enhancement phenomena as well as quantumsignatures of period-multipling bifurcations are discussed in connection withstabilities of the classical periodic orbits.Comment: 27 pages, REVTeX, 12 postscript figures are available from the author upon reques

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