Bohmian mechanics with discrete operators

@article{Hyman2004BohmianMW,
  title={Bohmian mechanics with discrete operators},
  author={Robert Anthony Hyman and Shane A. Caldwell and Edward Dalton},
  journal={Journal of Physics A},
  year={2004},
  volume={37}
}
A deterministic and time reversible Bohmian mechanics for operators with continuous and discrete spectra is presented. Randomness enters only through initial conditions. Operators with discrete spectra are incorporated into Bohmian mechanics by associating with each operator a continuous variable in which a finite range of the continuous variable corresponds to the same discrete eigenvalue. In this way a deterministic and time reversible Bohmian mechanics can handle the creation and… 
On the Merits of the “ Unromantic Pictures ”
I am concerned with two views of quantum mechanics that John S. Bell called " unromantic " : spontaneous wave function collapse and Bohmian mechanics. I discuss some of their merits and report about
The ‘unromantic pictures’ of quantum theory
I am concerned with two views of quantum mechanics that John S Bell called 'unromantic': spontaneous wavefunction collapse and Bohmian mechanics. I discuss some of their merits and report about

References

SHOWING 1-10 OF 10 REFERENCES
Quantum mechanics, randomness, and deterministic reality☆
Abstract We describe and analyze a new formulation of Bohmian mechanics — the deterministic theory of particles in motion that emerges from Schrodinger's equation for a system of particles when we
Quantum mechanics in terms of discrete beables.
  • Vink
  • Physics, Medicine
    Physical review. A, Atomic, molecular, and optical physics
  • 1993
TLDR
An interpretation of quantum mechanics in terms of classical concepts, «beables,» due to de Broglie, Bohm, and Bell (BBB) is generalized and further developed and it is shown that, in the continuum limit, this interpretation reduces to the causal one of Bohm.
Objective interpretations of quantum mechanics and the possibility of a deterministic limit
Examines a suggestion by Bell (1984) that a deterministic model might be furnished by the continuum limit of an objective stochastic model which he has proposed for quantum field theory on a lattice.
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
Is there a phase transition in Maxwell-Chern-Simons theory?
TLDR
An effective action formalism is used to take into account ring corrections and find that classically broken symmetries can be restored at high temperature and the effective potential at finite temperature is computed using the Vilkovisky-DeWitt formalism.
A SUGGESTED INTERPRETATION OF THE QUANTUM THEORY IN TERMS OF "HIDDEN" VARIABLES. II
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
A deterministic Bell model
Following ideas given by John Bell in a paper entitled Beables for quantum field theory, we show that it is possible to obtain a realistic and deterministic interpretation of any quantum
Quantum field theory of without observers
Abstract A deBroglie-Bohm version of quantum field theory is outlined, with Fermi as well as Bose fields.
The Quantum Theory of Motion
A lubrication and sealing system for the cylinder head of an internal combustion engine having a sleeve valve mounted for rotation therein, said sleeve valve having intake slots therethrough which