54 Citations
QUANTUM MECHANICS WITHOUT STATISTICAL POSTULATES
- Physics
- 1999
The Bohmian formulation of quantum mechanics describes the measurement process in an intuitive way without a reduction postulate. Due to the chaotic motion of the hidden classical particle all…
An Approach to Measurement by Quantum-Stochastic-Parameter Averaged Bohmian Mechanics
- Physics
- 2000
A coarse-grained quantum operator technique is used along with the formalism of Bohmian mechanics endowed with stochastic character at the quantum level in order to address some central issues in the…
Relativistic Quantum Mechanics and the Bohmian Interpretation
- Physics
- 2005
No HeadingConventional relativistic quantum mechanics, based on the Klein-Gordon equation, does not possess a natural probabilistic interpretation in configuration space. The Bohmian interpretation,…
Quantum behavior derived as an essentially stochastic phenomenon
- Physics
- 2012
We study the behavior of the atomic matter immersed in a zero-point radiation field, which is taken as the source of the endless stochastic motion of electrons. The starting point is a statistical…
Fractal Approximation of Motion and Its Implications in Quantum Mechanics
- Physics
- 2012
Inconsistencies of some standard quantum mechanical models (Madelung’s, de Broglie’s models) are eliminated as- suming the micro particle movements on continuous, but non-differentiable curves…
Hidden Variables, Statistical Mechanics and the Early Universe
- Physics
- 2001
One of the central mysteries of quantum theory is that it seems to be fundamentally nonlocal—and yet the nonlocality cannot be used for practical signalling at a distance. The consistency of modern…
Bohmian Mechanics and the Quantum Revolution
- Physics
- 1995
This is a review-essay on ``Speakable and Unspeakable in Quantum Mechanics'' by John Bell and ``The Undivided Universe: An Ontological Interpretation of Quantum Mechanics'' by David Bohm and Basil…
A survey of Bohmian mechanics
- Physics
- 1995
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…
Some Observations upon "Realistic" Trajectories in Bohmian Quantum Mechanics *
- Physics
- 2013
Experimental situations in which we observe quantum effects that deviate from the intuitive expecta- tions of the classical world call for an interdisciplinary discussion, and one fundamental issue…
Dynamical origin of quantum probabilities
- PhysicsProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2005
We study the origin of the Born probability rule ρ = |ψ|2 in the de Broglie–Bohm pilot–wave formulation of quantum theory. It is argued that quantum probabilities arise dynamically, and have a status…
References
SHOWING 1-10 OF 43 REFERENCES
Stochastic mechanics and quantum theory
- Physics
- 1987
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 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…
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…
Quantum Concepts in Space and Time
- Physics, Philosophy
- 1986
Recent developments in quantum theory have focused attention on fundamental questions, in particular on whether it might be necessary to modify quantum mechanics to reconcile quantum gravity and…
On the Problem of Hidden Variables in Quantum Mechanics
- Physics
- 1966
The demonstrations of von Neumann and others, that quantum mechanics does not permit a hidden variable interpretation, are reconsidered. It is shown that their essential axioms are unreasonable. It…
Environment-induced superselection rules
- Physics
- 1982
We show how the correlations of a quantum system with other quantum systems may cause one of its observables to behave in a classical manner. In particular, "reduction of the wave packet," postulated…
The emergence of classical properties through interaction with the environment
- Physics
- 1985
The dependence of macroscopic systems upon their environment is studied under the assumption that quantum theory is universally valid. In particular scattering of photons and molecules turns out to…
A SUGGESTED INTERPRETATION OF THE QUANTUM THEORY IN TERMS OF "HIDDEN" VARIABLES. II
- Physics
- 1952
In this paper, we shall show how the theory of measurements is to be understood from the point of view of a physical interpretation of the quantum theory in terms of hidden variables developed in a…