Parametric evolution for a deformed cavity - art. no. 046207

Citation
D. Cohen et al., Parametric evolution for a deformed cavity - art. no. 046207, PHYS REV E, 6304(4), 2001, pp. 6207
Citations number
23
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063-651X → ACNP
Volume
6304
Issue
4
Year of publication
2001
Part
2
Database
ISI
SICI code
1063-651X(200104)6304:4<6207:PEFADC>2.0.ZU;2-D
Abstract
We consider a classically chaotic system that is described by a Hamiltonian H(Q,P;x), where (Q,P) describes a particle moving inside a cavity, and x c ontrols a deformation of the boundary. The quantum eigenstates of the syste m are \n(x)]. We describe how the parametric kernel P(n\m)=\[n(x)\m(x(0))]\ (2), also known as the local density of states, evolves as a function of de ltax=x-x(0). We illuminate the nonunitary nature of this parametric evoluti on, the emergence of nonperturbative features, the final nonuniversal satur ation, and the limitations of random-wave considerations. The parametric ev olution is demonstrated numerically for two distinct representative deforma tion processes.