Bohmian histories and decoherent histories

  title={Bohmian histories and decoherent histories},
  author={James B. Hartle},
  journal={Physical Review A},
  • J. Hartle
  • Published 18 September 2002
  • Physics
  • Physical Review A
The predictions of the Bohmian and the decoherent (or consistent) histories formulations of the quantum mechanics of a closed system are compared for histories--sequences of alternatives at a series of times. For certain kinds of histories, Bohmian mechanics and decoherent histories may both be formulated in the same mathematical framework within which they can be compared. In that framework, Bohmian mechanics and decoherent histories represent a given history by different operators. Their… 

Figures from this paper

The regular histories formulation of quantum theory
It can be argued that RH compares favourably with other proposed interpretations of quantum mechanics in that it resolves the measurement problem while retaining an essentially classical worldview without parallel universes, a framework-dependent reality or action-at-a-distance.
Classical Versus Quantum Probability in Sequential Measurements
We demonstrate in this paper that the probabilities for sequential measurements have features very different from those of single-time measurements. First, they cannot be modelled by a classical
Discrete Quantum Spectrum of Observable Correlations from Inflation
The decoherence of quantum fluctuations into classical perturbations during inflation is discussed. A simple quantum mechanical argument, using a spatial particle wavefunction rather than a field
Inter-theory relations in physics : case studies from quantum mechanics and quantum field theory
The relationship that is widely presumed to hold between physical theories and their successors, in which the successors in some sense explain the success of the theories they replace, is known
Realism and causality. I. Pilot wave and retrocausal models as possible facilitators
Of all basic principles of classical physics, realism should arguably be the last to be given up when seeking a better interpretation of quantum mechanics. We examine the de Broglie-Bohm pilot wave
Spacetime Indeterminacy and Holographic Noise
A new kind of quantum indeterminacy of transverse position is shown to arise from quantum degrees of freedom of spacetime, based on the assumption that classical trajectories can be defined no better
Generalizing Quantum Mechanics for Quantum Spacetime
Familiar textbook quantum mechanics assumes a fixed background spacetime to define states on spacelike surfaces and their unitary evolution between them. Quantum theory has changed as our conceptions
Topological Solution of Bohmian Quantum Mechanics
The topological solutions of the De Broglie–Bohm quantum mechanics are presented. Starting from the Schrodinger equation for one particle system and ϕ-mapping topological current theory, the
Quantum Entanglement in Time
In this paper we present a concept of quantum entanglement in time in a context of entangled consistent histories. These considerations are supported by presentation of necessary tools closely
2 2 O ct 2 01 4 Spacetime Average Density ( SAD ) Cosmological Measures ∗
The measure problem of cosmology is how to obtain normalized probabilities of observations from the quantum state of the universe. This is particularly a problem when eternal inflation leads to a


Consistent histories and the interpretation of quantum mechanics
The usual formula for transition probabilities in nonrelativistic quantum mechanics is generalized to yield conditional probabilities for selected sequences of events at several different times,
Quantum Pasts and the Utility of History
From data in the present we can predict the future and retrodict the past. These predictions and retrodictions are for histories – most simply time sequences of events. Quantum mechanics gives
Reply to Comment on "Surrealistic Bohm Trajectories"
Let us begin with a response to the summary of the Comment by D. Durr, W. Fusseder, S. Goldstein, and N. Zanghi [1]. We are accused to not stay inside "orthodox quantum theory" but to employ a
Modern studies of basic quantum concepts and phenomena : proceedings of Nobel Symposium 104, Gimo, Sweden, June 13-17, 1997
Modern studies of basic quantum concepts and phenomena, E.B. Karlsson and E. Brandas quantum entanglement - criteria and collective tests, A. Peres a gallery of quantum states -tomography of
Foundations of quantum mechanics in the light of new technology
Part 1 Proceedings of 1st Symposium, S. Kamefuchi et al: gauge fields, electromagnetism and the Bohm-Aharonov effect, C.N. Yang non-local phenomena and the Aharonov-Bohm effect, Y. Aharonov electron
Physica Scripta
Creation and existence of order are of philosophical significance and practical utility. This paper spells clear, succinct, yet comprehensive directives for order creation, existence and total
On complexity
What is the complexity of inorganic crystal structures, how may it be measured, and is there a limit? We present some speculations for discussion.
A Symposium and Collection of Essays in honor of Professor Charles W. Misner's 60th Birthday
  • A Symposium and Collection of Essays in honor of Professor Charles W. Misner's 60th Birthday
  • 1993