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De Broglie–Bohm theory
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=== Bohmian mechanics === Bohmian mechanics is the same theory, but with an emphasis on the notion of current flow, which is determined on the basis of the [[quantum equilibrium hypothesis]] that the probability follows the Born rule.{{cn|date=August 2024}} The term "Bohmian mechanics" is also often used to include most of the further extensions past the spin-less version of Bohm.{{cn|date=August 2024}} While de Broglie–Bohm theory has [[Lagrangian mechanics|Lagrangians]] and [[Hamilton-Jacobi equations]] as a primary focus and backdrop, with the icon of the [[quantum potential]], Bohmian mechanics considers the [[continuity equation]] as primary and has the guiding equation as its icon. They are mathematically equivalent in so far as the Hamilton-Jacobi formulation applies, i.e., spin-less particles. All of non-relativistic quantum mechanics can be fully accounted for in this theory. Recent studies have used this formalism to compute the evolution of many-body quantum systems, with a considerable increase in speed as compared to other quantum-based methods.<ref>Larder et al. (2019) Fast nonadiabatic dynamics of many-body quantum systems https://doi.org/10.1126/sciadv.aaw1634</ref>
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