Quantum mechanics, randomness, and deterministic reality☆

  title={Quantum mechanics, randomness, and deterministic reality☆},
  author={Detlef D{\"u}rr and Sheldon Goldstein and Nino Zangh{\'i}},
  journal={Physics Letters A},
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
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
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
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
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
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
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
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 *
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
  • A. Valentini, H. Westman
  • Physics
    Proceedings 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


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 chaos, classical randomness, and Bohmian mechanics
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
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
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
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
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
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
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