# A survey of Bohmian mechanics

@article{Berndl1995ASO,
title={A survey of Bohmian mechanics},
author={Karin Berndl and Martin Daumer and Detlef D{\"u}rr and Sheldon Goldstein and Nino Zangh{\'i}},
journal={Il Nuovo Cimento B (1971-1996)},
year={1995},
volume={110},
pages={737-750}
}
• Published 12 April 1995
• Physics
• Il Nuovo Cimento B (1971-1996)
SummaryBohmian mechanics is the most naively obvious embedding imaginable of Schrödinger’s equation into a completely coherent physical theory. It describes a world in which particles move in a highly non-Newtonian sort of way, one which may at first appear to have little to do with the spectrum of predictions of quantum mechanics. It turns out, however, that, as a consequence of the defining dynamical equations of Bohmian mechanics, when a system has wave function ψ its configuration is…
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## References

SHOWING 1-10 OF 40 REFERENCES
Observables, measurements and phase operators from a Bohmian perspective
• Physics
• 1993
Bohmian mechanics is a deterministic theory of point particles in motion. While avoiding all the paradoxes of nonrelativistic quantum mechanics, it yields the quantum formalism itself--especially the
Quantum chaos, classical randomness, and Bohmian mechanics
• Physics
• 1992
It is argued that dynamical chaos in quantum mechanics arises solely from the collapse rule applied in measurements. As such it is quite distinct from classical (deterministic) chaos, which arises
A global equilibrium as the foundation of quantum randomness
• Physics
• 1993
We analyze the origin of quantum randomness within the framework of a completely deterministic theory of particle motion—Bohmian mechanics. We show that a universe governed by this mechanics evolves
Stochastic mechanics and quantum theory
Stochastic mechanics may be regarded as both generalizing classical mechanics to processes with intrinsic randomness, as well as providing the sort of detailed description of microscopic events
Quantum equilibrium and the origin of absolute uncertainty
• Physics
• 1992
The quantum formalism is a “measurement” formalism-a phenomenological formalism describing certain macroscopic regularities. We argue that it can be regarded, and best be understood, as arising from
Self-Adjointness and the Existence of Deterministic Trajectories in Quantum Theory
• Physics, Mathematics
• 1994
We show that the particle motion in Bohmian mechanics as the solution of an ordinary differential equation exists globally, i.e., the singularities of the velocity field and infinity will not be
On the global existence of Bohmian mechanics
• Mathematics
• 1995
We show that the particle motion in Bohmian mechanics, given by the solution of an ordinary differential equation, exists globally: For a large class of potentials the singularities of the velocity
Logical reformulation of quantum mechanics. I. Foundations
The basic rules of quantum mechanics are reformulated. They deal primarily with individual systems and do not assume that every ket may represent a physical state. The customary kinematic and dynamic
Fundamental properties of Hamiltonian operators of Schrödinger type
Introduction. The fundamental quality required of operators representing physical quantities in quantum mechanics is that they be hypermaximal(l) or self-adjoint(2) in the strict sense employed in