UNIFIED THEORY OF LYAPUNOV EXPONENTS AND A POSITIVE EXAMPLE OF DETERMINISTIC QUANTUM CHAOS

被引：55

作者：

FAISAL, FHM

SCHWENGELBECK, U

机构：

[1] Fakultät für Physik, Universität Bielefeld, D-33501 Bielefeld

来源：

PHYSICS LETTERS A | 1995年 / 207卷 / 1-2期

关键词：

D O I：

10.1016/0375-9601(95)00645-J

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A unified theory of quantum Lyapunov exponents, based on the Hamilton-Jacobi formulation of quantum mechanics, is applied to Weigert's quantum cat map. It is shown to provide a definite positive example of deterministic quantum chaos in terms of extreme sensitivity on initial conditions and a positive definite Lyapunov exponent.

引用

页码：31 / 36

页数：6

共 17 条

[1]

Arnold V.I., 1968, ERGODIC PROBLEMS CLA

[2]

BOHM D, 1952, PHYS REV, V85, P166, DOI 10.1103/PhysRev.85.166

[3]

Bohm D., 1993, UNDIVIDED UNIVERSE

[4]

BOHM D, 1955, PHYS REV, V96, P208

[5]

BOHM D, 1987, PHYS REP, V155, P323

[6]

DEBROGLIE L, 1960, NONLINEAR WAVE MECHA

[7]

FAISAL FHM, 1994, PREPRINT SERIES FORS, V680

[8] THE ARNOLD CAT - FAILURE OF THE CORRESPONDENCE PRINCIPLE [J].

FORD, J ;

MANTICA, G ;

RISTOW, GH .

PHYSICA D, 1991, 50 (03) :493-520

[9]

Haake F., 2018, QUANTUM SIGNATURES C, V54, DOI DOI 10.1007/978-3-642-05428-0

[10]

Hannay J. H., 1980, Physica D, V1D, P267, DOI 10.1016/0167-2789(80)90026-3

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