منابع مشابه
Chaoticity in vibrating nuclear billiards.
We study the motion of classical particles con ned in a two-dimensional "nuclear" billiard whose walls undergo periodic shape oscillations according to a xed multipolarity. The presence of a coupling term in the single particle Hamiltonian between the particle motion and the collective coordinate generates a fully selfconsistent dynamics. We consider in particular monopole oscillations and demo...
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Quantum billiards provide an excellent forum for the analysis of quantum chaos. Toward this end, we consider quantum billiards with time-varying surfaces, which provide an important example of quantum chaos that does not require the semiclassical (~ −→ 0) or high quantum-number limits. We analyze vibrating quantum billiards using the framework of Riemannian geometry. First, we derive a theorem ...
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We study the conditions under which the nucleons inside a deformed nucleus can undergo chaotic motion. To do this we perform self-consistent calculations in semiclassical approximation utilizing a multipole-multipole interaction of the Bohr-Mottelson type for quadrupole and octupole deformations. For the case of harmonic and non-harmonic static potentials, we find that both multipole deformatio...
متن کاملChaoticity and Dissipation of Nuclear Collective Motion in a Classical Model
We analyze the behavior of a gas of classical particles moving in a twodimensional ”nuclear” billiard whose multipole-deformed walls undergo periodic shape oscillations. We demonstrate that a single particle Hamiltonian containing coupling terms between the particles’ motion and the collective coordinate induces a chaotic dynamics for any multipolarity, independently on the geometry of the bill...
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In this paper we consider a learning rule whose underlying space, possibly infinite dimensional, is equipped with an inner product. The rule proposed is a generalization of Oja’s maximum eigenfilter algorithm. We study its convergence properties and iterative behavior. We observe a whole variety of dynamical behaviors. We establish conditions on parameter values generating chaoticity as well as...
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ژورنال
عنوان ژورنال: Physical Review C
سال: 1995
ISSN: 0556-2813,1089-490X
DOI: 10.1103/physrevc.52.2475