A classical analog of the quantum Zeeman effect

Review Physics, Multidisciplinary

Hydrodynamic quantum analogs

John W. M. Bush et al.

Summary: The walking droplet system discovered by Yves Couder and Emmanuel Fort demonstrates a vibrating particle self-propelling through resonant interaction with its own wave field, providing visualization of a particle as an excitation of a field and resembling a dynamics theory proposed by Louis de Broglie for quantum particles. This hydrodynamic pilot-wave system exhibits many features typically associated with the microscopic, quantum realm, leading to intriguing questions about classical systems and quantum-like statistics. The system suggests a potential completion of quantum mechanics through a theoretical description of particle trajectories, with experimental studies and theoretical models exploring the emergence of structured statistical behavior and temporal nonlocality.

REPORTS ON PROGRESS IN PHYSICS (2021)

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Article Mathematics, Applied

A mechanical analog of Bohr's atom based on de Broglie's double-solution approach

P. Jamet et al.

Summary: This study presents a relativistic model describing the coupling between a classical particle and a scalar wave field, investigating the scenario where the particle is guided by the wave in the presence of an external Coulomb field. This dualistic mechanical analog is able to reproduce the Bohr-Sommerfeld semiclassical quantization formula.

CHAOS (2021)

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Article Physics, Fluids & Plasmas