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Quantum equilibrium and the origin of absolute uncertainty
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
Bohmian Mechanics: The Physics and Mathematics of Quantum Theory
Classical Physics.- Symmetry.- Chance.- Brownian motion.- The Beginning of Quantum Theory.- Schrodinger's Equation.- Bohmian Mechanics.- The Macroscopic World.- Nonlocality.- The Wave Function and
The Ontology of Bohmian Mechanics
The article points out that the modern formulation of Bohm’s quantum theory, known as Bohmian mechanics, is committed only to particles’ positions and a law of motion, and sketches out how these options apply to primitive ontology approaches to quantum mechanics in general.
The Onsager-Machlup function as Lagrangian for the most probable path of a diffusion process
By application of the Girsanov formula for measures induced by diffusion processes with constant diffusion coefficients it is possible to define the Onsager-Machlup function as the Lagrangian for the
Can Bohmian mechanics be made relativistic?
It is argued that the possibility that, instead of positing it as extra structure, the required foliation could be covariantly determined by the wave function allows for the formulation of Bohmian theories that seem to qualify as fundamentally Lorentz invariant.
On the Role of Density Matrices in Bohmian Mechanics
It is well known that density matrices can be used in quantum mechanics to represent the information available to an observer about either a system with a random wave function (“statistical mixture”)
Quantum Equilibrium and the Role of Operators as Observables in Quantum Theory
Bohmian mechanics is arguably 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
A mechanical model of Brownian motion
We consider a dynamical system consisting of one large massive particle and an infinite number of light point particles. We prove that the motion of the massive particle is, in a suitable limit,
Remarks on the central limit theorem for weakly dependent random variables
to a normal law. A sequence {mi]i~ ~ of random variables adapted to some increasing family of ~-algebras (~}ia~ are called martingale differences if E(mi+11~) = O for all i. The first one to observe