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

Faisal F, Schwengelbeck U (1998)
In: Pramana. PRAMANA-JOURNAL OF PHYSICS, 51(5). INDIAN ACADEMY SCIENCES: 585-595.

Konferenzbeitrag | Veröffentlicht | Englisch
 
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Autor*in
Faisal, FarhadUniBi; Schwengelbeck, U
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'.
Stichworte
de Broglie Bohm quantum mechanics; time-reversal invariance; Lyapunov numbers; quantum chaos
Erscheinungsjahr
1998
Titel des Konferenzbandes
Pramana
Serien- oder Zeitschriftentitel
PRAMANA-JOURNAL OF PHYSICS
Band
51
Ausgabe
5
Seite(n)
585-595
ISSN
0304-4289
Page URI
https://pub.uni-bielefeld.de/record/1623705

Zitieren

Faisal F, Schwengelbeck U. de Broglie-Bohm formulation of quantum mechanics, quantum chaos and breaking of time-reversal invariance. In: Pramana. PRAMANA-JOURNAL OF PHYSICS. Vol 51. INDIAN ACADEMY SCIENCES; 1998: 585-595.
Faisal, F., & Schwengelbeck, U. (1998). de Broglie-Bohm formulation of quantum mechanics, quantum chaos and breaking of time-reversal invariance. Pramana, PRAMANA-JOURNAL OF PHYSICS, 51, 585-595. INDIAN ACADEMY SCIENCES. https://doi.org/10.1007/BF02827450
Faisal, Farhad, and Schwengelbeck, U. 1998. “de Broglie-Bohm formulation of quantum mechanics, quantum chaos and breaking of time-reversal invariance”. In Pramana, 51:585-595. PRAMANA-JOURNAL OF PHYSICS. INDIAN ACADEMY SCIENCES.
Faisal, F., and Schwengelbeck, U. (1998). “de Broglie-Bohm formulation of quantum mechanics, quantum chaos and breaking of time-reversal invariance” in Pramana PRAMANA-JOURNAL OF PHYSICS, vol. 51, (INDIAN ACADEMY SCIENCES), 585-595.
Faisal, F., & Schwengelbeck, U., 1998. de Broglie-Bohm formulation of quantum mechanics, quantum chaos and breaking of time-reversal invariance. In Pramana. PRAMANA-JOURNAL OF PHYSICS. no.51 INDIAN ACADEMY SCIENCES, pp. 585-595.
F. Faisal and U. Schwengelbeck, “de Broglie-Bohm formulation of quantum mechanics, quantum chaos and breaking of time-reversal invariance”, Pramana, PRAMANA-JOURNAL OF PHYSICS, vol. 51, INDIAN ACADEMY SCIENCES, 1998, pp.585-595.
Faisal, F., Schwengelbeck, U.: de Broglie-Bohm formulation of quantum mechanics, quantum chaos and breaking of time-reversal invariance. Pramana. PRAMANA-JOURNAL OF PHYSICS. 51, p. 585-595. INDIAN ACADEMY SCIENCES (1998).
Faisal, Farhad, and Schwengelbeck, U. “de Broglie-Bohm formulation of quantum mechanics, quantum chaos and breaking of time-reversal invariance”. Pramana. INDIAN ACADEMY SCIENCES, 1998.Vol. 51. PRAMANA-JOURNAL OF PHYSICS. 585-595.
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