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19962025
most citedSemiclassical Theory of Short Periodic Orbits in Quantum Chaos

50 citations · 468 across the 28 of their papers we have counts for

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chao-dyn1999★ 50 cited

Semiclassical quantization with short periodic orbits

Eduardo G. Vergini, Gabriel Carlo

We apply a recently developed semiclassical theory of short peridic orbits to the stadium billiard. We give explicit expresions for the resonances of periodic orbits and for the ap…

chao-dyn1999★ 50 cited

Semiclassical Theory of Short Periodic Orbits in Quantum Chaos

Eduardo G. Vergini

We have developed a semiclassical theory of short periodic orbits to obtain all quantum information of a bounded chaotic Hamiltonian system. If T_1 is the period of the shortest pe…

chao-dyn1998★ 7 cited

Influence of phase space localization on the energy diffusion in a quantum chaotic billiard

D. A. Wisniacki, E. Vergini

The quantum dynamics of a chaotic billiard with moving boundary is considered in this work. We found a shape parameter Hamiltonian expansion which enables us to obtain the spectrum…

chao-dyn1998★ 9 cited

Numerical verification of Percival's conjecture in a quantum billiard

Gabriel Carlo, Eduardo Vergini, Alejandro Fendrik

In order to verify Percival's conjecture [J. Phys. B 6,L229 (1973)] we study a planar billiard in its classical and quantum versions. We provide an evaluation of the nearest-neighb…

chao-dyn1998★ 11 cited

Localized Structures Embedded in the Eigenfunctions of Chaotic Hamiltonian Systems

E. Vergini, D. A. Wisniacki

We study quantum localization phenomena in chaotic systems with a parameter. The parametric motion of energy levels proceeds without crossing any other and the defined avoided cros…

chao-dyn1997★ 46 cited

Quantitative study of scars in the boundary section of the stadium billiard

Fernando P. Simonotti, Eduardo Vergini, Marcos Saraceno

We construct a semiclassically invariant function on the boundary of the billiard, taken as the Poincare section in Birkhoff coordinates, based on periodic orbit information, as an…

chao-dyn1996★ 9 cited

Characterization of Landau-Zener Transitions in Systems with Complex Spectra

M. J. Sánchez, E. Vergini, D. A. Wisniacki

This paper is concerned with the study of one-body dissipation effects in idealized models resembling a nucleus. In particular, we study the quantum mechanics of a free particle th…