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The Two-State Vector Formalism of Quantum Mechanics

  • Yakir Aharonov
  • Lev Vaidman
Part of the Lecture Notes in Physics book series (LNPMGR, volume 72)

Abstract

We present the two-state vector formalism of quantum mechanics. It is a time-symmetrized approach to standard quantum theory particularly helpful for the analysis of experiments performed on pre- and post-selected ensembles. Several peculiar effects which naturally arise in this approach are considered. In particular, the concept of “weak measurements” (standard measurements with weakening of the interaction) is discussed in depth revealing a very unusual but consistent picture. Also, a design of a gedanken experiment which implements a kind of quantum “time machine” is described. The issue of time-symmetry in the context of the two-state vector formalism is clarified.

Keywords

Quantum State Quantum System Time Machine Pointer Variable Spin Component 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Yakir Aharonov
    • 1
    • 2
  • Lev Vaidman
    • 1
    • 3
  1. 1.School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact SciencesTel Aviv UniversityTel-AvivIsrael
  2. 2.Physics DepartmentUniversity of South CarolinaColumbiaUSA
  3. 3.Centre for Quantum Computation, Department of PhysicsUniversity of Oxford, Clarendon LaboratoryOxfordEngland

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