TIME.bib

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@COMMENT{{Command line: bib2bib -ob TIME.bib -c " ropsections:'TIME' " bigBiblioFile.bib}}

@COMMENT{{ bigBiblioFile.bib generated by makebib.sh version }}

@COMMENT{{ concatenation of journals_ref.bib withpyblio.bib optimization.bib mypapers.bib other.bib refvulg.bib these_ref.bib philo.bib ../math/journals_ref.bib ../math/citeseer.bib ../math/books.bib }}

@COMMENT{{ date: Thu Nov 2 00:20:16 CET 2006 }}


@MISC{halliwell2002life,
  AUTHOR = {J.J.Halliwell, J.Thorwart},
  TITLE = {Life in an Energy Eigenstate: Decoherent Histories
                  Analysis of a Model Timeless Universe},
  YEAR = {2002},
  NOTE = {Report-no: IC/TP/1-02/13},
  URL = {http://fr.arxiv.org/abs/gr-qc/0201070},
  PS = {/sci_docs/physics/papers/arxiv/halliwell2002life.ps.gz},
  ROPSECTIONS = {COSMOLOGY TIME},
  ABSTRACT = {Inspired by quantum cosmology, in which the wave
                  function of the universe is annihilated by the total
                  Hamiltonian, we consider the internal dynamics of a
                  simple particle system in an energy eigenstate. Such
                  a system does not possess a uniquely defined time
                  parameter and all physical questions about it must
                  be posed without reference to time. We consider in
                  particular the question, what is the probability
                  that the system's trajectory passes through a set of
                  regions of configuration space without reference to
                  time? We first consider the classical case, where
                  the answer has a variety of forms in terms of a
                  phase space probability distribution function. We
                  then consider the quantum case, and we analyze this
                  question using the decoherent histories approach to
                  quantum theory, adapted to questions which do not
                  involve time. When the histories are decoherent, the
                  probabilities approximately coincide with the
                  classical case, with the phase space probability
                  distribution replaced by the Wigner function of the
                  quantum state. For some initial states, decoherence
                  requires an environment, and we compute the required
                  influence functional and examine some of its
                  properties. Special attention is given to the inner
                  product used in the construction (the induced or
                  Rieffel inner product), the construction of class
                  operators describing the histories, and the extent
                  to which reparametrization invariance is
                  respected. Our results indicate that simple systems
                  without an explicit time parameter may be quantized
                  using the decoherent histories approach, and the
                  expected classical limit extracted. The results
                  support, for simple models, the usual heuristic
                  proposals for the probability distribution function
                  associated with a semiclassical wave function
                  satisfying the Wheeler-DeWitt equation. }
}


@ARTICLE{oppenheim2002temporal,
  AUTHOR = {J Oppenheim and B Reznik and W G Unruh},
  TITLE = {Temporal ordering in quantum mechanics},
  JOURNAL = {Journal of Physics A: Mathematical and General},
  VOLUME = {35},
  NUMBER = {35},
  PAGES = {7641-7652},
  YEAR = {2002},
  ROPSECTIONS = {TIME QUANTPHYS},
  PDF = {/sci_docs/physics/papers/JPhysA/oppenheim2002temporal.pdf},
  ABSTRACT = {We examine the measurability of the temporal
                  ordering of two events, as well as event
                  coincidences. In classical mechanics, a measurement
                  of the order-of-arrival of two particles is shown to
                  be equivalent to a measurement involving only one
                  particle (in higher dimensions). In quantum
                  mechanics, we find that diffraction effects
                  introduce a minimum inaccuracy to which the temporal
                  order-of-arrival can be determined
                  unambiguously. The minimum inaccuracy of the
                  measurement is given by deltat = hbar/bar E where
                  bar E is the total kinetic energy of the two
                  particles. Similar restrictions apply to the case of
                  coincidence measurements. We show that these
                  limitations are much weaker than limitations on
                  measuring the time-of-arrival of a particle to a
                  fixed location.}
}

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