Quantum chaos, classical randomness, and Bohmian mechanics

DOI10.1007/BF01048845zbMath0925.58063MaRDI QIDQ1379412

Sheldon Goldstein, Detlef Dürr, Nino Zanghì

Publication date: 25 February 1998

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

sensitive dependence on initial conditionsquantum chaosBohmian mechanicshidden variablesBernoulli systemquantum randomness

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Quantum chaos (81Q50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (16)

Origin of chaos in \(3\)-D Bohmian trajectories ⋮ A flea on Schrödinger's cat ⋮ Bohmian trajectory from the “classical” Schrödinger equation ⋮ Quantum chaos: An entropy approach ⋮ Integrals of motion in 3D Bohmian trajectories ⋮ An empirical approach to symmetry and probability ⋮ Chaos in Bohmian quantum mechanics: a short review ⋮ Quantum chaos in terms of Bohm trajectories. ⋮ On the relationship between the Wigner-Moyal and Bohm approaches to quantum mechanics: a step to a more general theory? ⋮ Ordered and chaotic Bohmian trajectories ⋮ A new way for the extension of quantum theory: Non-Bohmian quantum potentials ⋮ Chaotic Bohmian trajectories for stationary states ⋮ Wavepacket approach to particle diffraction by thin targets: Quantum trajectories and arrival times ⋮ Decoherence in unorthodox formulations of quantum mechanics. ⋮ Wave packets and Bohmian mechanics in the kicked rotator ⋮ On the classical limit in Bohm's theory

Cites Work

• Quantum equilibrium and the origin of absolute uncertainty
• A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I
• Proof That Probability Density Approaches<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mo>|</mml:mo><mml:mi>ψ</mml:mi><mml:mo>|</mml:mo></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>in Causal Interpretation of the Quantum Theory
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