de Broglie-Bohm formulation of quantum mechanics, quantum chaos and breaking of time-reversal invariance

Faisal F, Schwengelbeck U (1998)
PRAMANA-JOURNAL OF PHYSICS 51(5): 585-595.

Download
Es wurde kein Volltext hochgeladen. Nur Publikationsnachweis!
Konferenzbeitrag | Veröffentlicht | Englisch
Autor
;
Abstract / Bemerkung
A recently developed unified theory of classical and quantum chaos, based on the de Broglie-Bohm (Hamilton-Jacobi) formulation of quantum mechanics is presented and its consequences are discussed. The quantum dynamics is rigorously defined to be chaotic if the Lyapunov number, associated with the quantum trajectories in de Broglie-Bohm phase space, is positive definite. This definition of quantum chaos which under classical conditions goes over to the well-known definition of classical chaos in terms of positivity of Lyapunov numbers, provides a rigorous unified definition of chaos on the same footing for both the dynamics. A demonstration of the existence of positive Lyapunov numbers in a simple quantum system is given analytically, proving the existence of quantum chaos. Breaking of the time-reversal symmetry in the corresponding quantum dynamics under chaotic evolution is demonstrated. It is shown that the rigorous deterministic quantum chaos provides an intrinsic mechanism towards irreversibility of the Schrodinger evolution of the wave function, without invoking 'wave function collapse' or 'measurements'.
Erscheinungsjahr
Band
51
Zeitschriftennummer
5
Seite
585-595
ISSN
PUB-ID

Zitieren

Faisal F, Schwengelbeck U. de Broglie-Bohm formulation of quantum mechanics, quantum chaos and breaking of time-reversal invariance. PRAMANA-JOURNAL OF PHYSICS. 1998;51(5):585-595.
Faisal, F., & Schwengelbeck, U. (1998). de Broglie-Bohm formulation of quantum mechanics, quantum chaos and breaking of time-reversal invariance. PRAMANA-JOURNAL OF PHYSICS, 51(5), 585-595. doi:10.1007/BF02827450
Faisal, F., and Schwengelbeck, U. (1998). de Broglie-Bohm formulation of quantum mechanics, quantum chaos and breaking of time-reversal invariance. PRAMANA-JOURNAL OF PHYSICS 51, 585-595.
Faisal, F., & Schwengelbeck, U., 1998. de Broglie-Bohm formulation of quantum mechanics, quantum chaos and breaking of time-reversal invariance. PRAMANA-JOURNAL OF PHYSICS, 51(5), p 585-595.
F. Faisal and U. Schwengelbeck, “de Broglie-Bohm formulation of quantum mechanics, quantum chaos and breaking of time-reversal invariance”, PRAMANA-JOURNAL OF PHYSICS, vol. 51, 1998, pp. 585-595.
Faisal, F., Schwengelbeck, U.: de Broglie-Bohm formulation of quantum mechanics, quantum chaos and breaking of time-reversal invariance. PRAMANA-JOURNAL OF PHYSICS. 51, 585-595 (1998).
Faisal, Farhard, and Schwengelbeck, U. “de Broglie-Bohm formulation of quantum mechanics, quantum chaos and breaking of time-reversal invariance”. PRAMANA-JOURNAL OF PHYSICS 51.5 (1998): 585-595.