130 citations · 860 across the 15 of their papers we have counts for
9 papers · 1 filter
Decoherent Histories Analysis of Minisuperspace Quantum Cosmology
J. J. Halliwell
Recent results on the decoherent histories quantization of simple cosmological models (minisuperspace models) are described. The most important issue is the construction, from the…
Probabilities in Quantum Cosmological Models: A Decoherent Histories Analysis Using a Complex Potential
J. J. Halliwell
In the quantization of simple cosmological models (minisuperspace models) described by the Wheeler-DeWitt equation, an important step is the construction, from the wave function, o…
Effective Theories of Coupled Classical and Quantum Variables
J. J. Halliwell
We address the issue of coupling variables which are essentially classical to variables that are quantum. Two approaches are discussed. In the first (based on collaborative work wi…
A Review of the Decoherent Histories Approach to Quantum Mechanics
J. J. Halliwell
I review the decoherent (or consistent) histories approach to quantum mechanics, due to Griffiths, to Gell-Mann and Hartle, and to Omnes. This is an approach to standard quantum th…
Decoherent Histories and Quantum State Diffusion
L. Diosi, N. Gisin, J. J. Halliwell +1
We demonstrate a close connection between the decoherent histories (DH) approach to quantum mechanics and the quantum state diffusion (QSD) picture, for open quantum systems descri…
Quantum mechanical composition laws in reparameterization invariant systems
J. J. Halliwell, M. E. Ortiz
This paper gives a brief description of the derivation of a composition law for the propagator of a relativistic particle, in a sum over histories quantization. The extension of th…
Quantum-Mechanical Histories and the Uncertainty Principle. II. Fluctuations About Classical Predictability
J. J. Halliwell
This paper is concerned with two questions in the decoherent histories approach to quantum mechanics: the emergence of approximate classical predictability, and the fluctuations ab…
An Information-Theoretic Measure of Uncertainty due to Quantum and Thermal Fluctuations
Arlen Anderson, Jonathan J. Halliwell
We study an information-theoretic measure of uncertainty for quantum systems. It is the Shannon information of the phase space probability distribution $\la z | ρ| z \ra $, whe…
Sum-over-histories origin of the composition laws of relativistic quantum mechanics and quantum cosmology
Jonathan Halliwell, Miguel Ortiz
The scope of the paper has been broadened to include a more complete discussion of the following topics: The derivation of composition laws in quantum cosmology. The connection bet…