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Quantum nodal points as fingerprints of classical chaos

Technical Report:

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.
Authors:
Leboeuf, P; [1]  Voros, A [2] 
  1. Paris-11 Univ., 91 - Orsay (France). Inst. de Physique Nucleaire
  2. CEA Centre d`Etudes Nucleaires de Saclay, 91 - Gif-sur-Yvette (France). Service de Physique Theorique
Publication Date:
Aug 01, 1992
Product Type:
Technical Report
Report Number:
IPNO-TH-92-98
Reference Number:
SCA: 661100; PA: AIX-25:003900; EDB-94:015534; ERA-19:005493; NTS-94:014769; SN: 93001120976
Resource Relation:
Other Information: PBD: Aug 1992
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; QUANTUM MECHANICS; EIGENFUNCTIONS; SEMICLASSICAL APPROXIMATION; STATISTICAL MECHANICS; BOUND STATE; DENSITY MATRIX; ONE-DIMENSIONAL CALCULATIONS; PHASE SPACE; TOPOLOGY; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10109794
Research Organizations:
Paris-11 Univ., 91 - Orsay (France). Inst. de Physique Nucleaire
Country of Origin:
France
Language:
English
Other Identifying Numbers:
Other: ON: DE94609573; TRN: FR9303111003900
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
FRN
Size:
26 p.
Announcement Date:
Jun 30, 2005

Technical Report:

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}
}