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In theoretical physics, the pilot wave theory, also known as Bohmian mechanics, was the first known example of a hidden-variable theory, presented by Louis de Broglie in 1927. Its more modern version, the de Broglie–Bohm theory , interprets quantum mechanics as a deterministic theory, and avoids issues such as wave function collapse , and the ...
Besides being an interesting means to visualise phenomena that are typical of the quantum-mechanical world, floating droplets on a vibrating bath have interesting analogies with the pilot wave theory, one of the many interpretations of quantum mechanics in its early stages of conception and development.
Hydrodynamic pilot-wave analogs have been claimed to duplicate the double slit experiment, tunneling, quantized orbits, and numerous other quantum phenomena which have led to a resurgence in interest in pilot wave theories. [110] [111] [112] The analogs have been compared to the Faraday wave. [113]
Peter R. Holland is an English theoretical physicist, known for his work on foundational problems in quantum physics and in particular his book on the pilot wave theory and the de Broglie-Bohm causal interpretation of quantum mechanics. Holland was educated at Hazelwick Comprehensive School in Crawley, West Sussex and at Imperial College.
The Madelung equations answer the question whether (,) obeys the continuity equations of hydrodynamics and, subsequently, what plays the role of the stress tensor. [ 6 ] The circulation of the flow velocity field along any closed path obeys the auxiliary quantization condition Γ ≐ ∮ m v ⋅ d l = 2 π n ℏ {\textstyle \Gamma \doteq \oint ...
In the framework of the de Broglie–Bohm theory, the quantum potential is a term within the Schrödinger equation which acts to guide the movement of quantum particles. . The quantum potential approach introduced by Bohm [1] [2] provides a physically less fundamental exposition of the idea presented by Louis de Broglie: de Broglie had postulated in 1925 that the relativistic wave function ...
Proponents of either "pilot-wave" (de Broglie-Bohm-like) or "many-worlds" (Everettian) interpretations tend to emphasize how their respective camps were intellectually marginalized throughout 1950s to 1980s. In this (historical) sense, all non-collapse theories are (historically) "minority" interpretations.
Behaviors mimicked via this hydrodynamic pilot-wave system include quantum single particle diffraction, [74] tunneling, quantized orbits, orbital level splitting, spin, and multimodal statistics. It is also possible to infer uncertainty relations and exclusion principles.