Phase-space organizations in prolate and oblate potentials: Classical, semiclassical, and quantum results

Electronic shell structure of large metallic clusters in the modified harmonic oscillator

“…This is in stark contrast with the situation considered in [37,38,40]. There the oblate case is chaotic and shell structure is essentially destroyed once higher multipoles are added while shell structure can prevail in the prolate case.…”

“…There the oblate case is chaotic and shell structure is essentially destroyed once higher multipoles are added while shell structure can prevail in the prolate case. Note, that the potential used in [37] contains effectively higher multipoles.…”

“…One of the first attempts to analyze the interplay between shell effects and classical chaotic motion has been done in [37] for an ellipsoidally deformed version of a diffuse nuclear average potential called the Buck-Pilt potential. If the classical problem is non-integrable and displays chaotic behavior, the shell structure of the corresponding quantum spectrum is affected depending on the degree of chaos.…”

Nuclear dissipation and the order to chaos transition

“…I should mention especially the transport type theories of (6) Weidenmliller and collaborators, the linear response theories typified by the work of Hoffmann, Siemens and others, the theories of nuclear collisions with friction due to Gross and collaborators, hydrodynamic studies of fission and nuclear collisions by Nix, Sierk and others, the master-equation treatment explored by Moretto and collaborators, and the particle-exchange theory of nuclear collisions due to Randrup, Feldmeier, D~ssing and others. Most prominent are, of course, the extensive simulations of nuclear dynamics based on the time-dependent Hartree-Fock method, initiated in the nuclear context by Kerman, Koonin, Negele, and extended by several groups.…”

Order, Chaos and Nuclear Dynamics

“…Using this technique, the Grenoble school in particular has been investigating the order to chaos transition for point nucleons moving in sharp or diffuse spheroidal potential wells meant to approximate the nuclear mean field (Refs. [27][28][29][30]. '/ The present paper is a contribution to such idealized studies of nuclear dynamics.…”