Regular and chaotic causal trajectories for the Bohm potential in a restricted space.

DOI10.1016/S0375-9601(97)00881-5zbMath1044.81550OpenAlexW2047332779MaRDI QIDQ1966546

S. Konkel, Adam J. Makowski

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(97)00881-5

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum chaos (81Q50)

Related Items (13)

Chaotic Bohm's trajectories in a quantum circular billiard ⋮ On the connection between the Wigner and the Bohm quantum formalism ⋮ Bohmian chaos in multinodal bound states ⋮ Deterministic chaos in entangled eigenstates ⋮ Trajectory interpretation of the uncertainty principle in 1D systems using complex Bohmian mechanics ⋮ Chaos in Bohmian quantum mechanics: a short review ⋮ Potentials for identical classical and quantum motions ⋮ Bohm's particle on an interatomic surface: a brief note ⋮ Ordered and chaotic Bohmian trajectories ⋮ Chaotic Bohmian trajectories for stationary states ⋮ Wavepacket approach to particle diffraction by thin targets: Quantum trajectories and arrival times ⋮ Chaotic causal trajectories: The role of the phase of stationary states ⋮ On the classical limit in Bohm's theory

Cites Work

• On the initial value problem for the Madelung hydrodynamic equations
• Unified theory of Lyapunov exponents and a positive example of deterministic quantum chaos
• Regular and chaotic quantum motions.
• Chaotic causal trajectories associated with a single stationary state of a system of noninteracting particles
• Properties of the trajectories in Bohmian mechanics
• Hydrodynamic Model of Quantum Mechanics
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