Abstract
Semiclassical analysis of the individual eigenfunctions in a quantum system is presented, especially when the classical dynamics is chaotic and the quantum bound states are considered. Quantum maps have emerged as ideal dynamical models for basic studies, with their ability to exhibit classical chaos within a single degree of freedom. On the other hand, phase space techniques have become recognized as extremely powerful for describing quantum states. It is argued that representations of eigenfunctions are essential for semiclassical analysis. An explicit realization of that program in one degree is overviewed, in which the crucial ingredient is a phase-space parametrization of 1-d wave-functions. (K.A.) 44 refs.; 6 figs.
Leboeuf, P;
[1]
Voros, A
[2]
- Paris-11 Univ., 91 - Orsay (France). Inst. de Physique Nucleaire
- CEA Centre d`Etudes Nucleaires de Saclay, 91 - Gif-sur-Yvette (France). Service de Physique Theorique
Citation Formats
Leboeuf, P, and Voros, A.
Quantum nodal points as fingerprints of classical chaos.
France: N. p.,
1992.
Web.
Leboeuf, P, & Voros, A.
Quantum nodal points as fingerprints of classical chaos.
France.
Leboeuf, P, and Voros, A.
1992.
"Quantum nodal points as fingerprints of classical chaos."
France.
@misc{etde_10109794,
title = {Quantum nodal points as fingerprints of classical chaos}
author = {Leboeuf, P, and Voros, A}
abstractNote = {Semiclassical analysis of the individual eigenfunctions in a quantum system is presented, especially when the classical dynamics is chaotic and the quantum bound states are considered. Quantum maps have emerged as ideal dynamical models for basic studies, with their ability to exhibit classical chaos within a single degree of freedom. On the other hand, phase space techniques have become recognized as extremely powerful for describing quantum states. It is argued that representations of eigenfunctions are essential for semiclassical analysis. An explicit realization of that program in one degree is overviewed, in which the crucial ingredient is a phase-space parametrization of 1-d wave-functions. (K.A.) 44 refs.; 6 figs.}
place = {France}
year = {1992}
month = {Aug}
}
title = {Quantum nodal points as fingerprints of classical chaos}
author = {Leboeuf, P, and Voros, A}
abstractNote = {Semiclassical analysis of the individual eigenfunctions in a quantum system is presented, especially when the classical dynamics is chaotic and the quantum bound states are considered. Quantum maps have emerged as ideal dynamical models for basic studies, with their ability to exhibit classical chaos within a single degree of freedom. On the other hand, phase space techniques have become recognized as extremely powerful for describing quantum states. It is argued that representations of eigenfunctions are essential for semiclassical analysis. An explicit realization of that program in one degree is overviewed, in which the crucial ingredient is a phase-space parametrization of 1-d wave-functions. (K.A.) 44 refs.; 6 figs.}
place = {France}
year = {1992}
month = {Aug}
}