Time-symmetric formulation of quantum mechanics.

  title={Time-symmetric formulation of quantum mechanics.},
  author={Reznik and Aharonov},
  journal={Physical review. A, Atomic, molecular, and optical physics},
  volume={52 4},
  • Reznik, Aharonov
  • Published 1995
  • Physics, Medicine
  • Physical review. A, Atomic, molecular, and optical physics
We explore further the suggestion to describe a pre- and postselected system by a two-state, which is determined by two conditions. Starting with a formal definition of a two-state Hilbert space and basic operations, we systematically recast the basics of quantum mechanics\char22{}dynamics, observables, and measurement theory\char22{}in terms of two-states as the elementary quantities. We find a simple and suggestive formulation that "unifies" two complementary observables: probabilistic… Expand
The Two-State Vector Formalism of Quantum Mechanics
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- andExpand
The Two-State Vector Formalism: An Updated Review
The two-state vector formalism of quantum mechanics is a time-symmetrized approach to standard quantum theory particularly helpful for the analysis of experiments performed on preand post-selectedExpand
Quantum to Classical Transitions via Weak Measurements and Post-Selection
This work will incorporate a few related tools for addressing the conceptual difficulties arising from sewing together classical and quantum mechanics: deterministic operators, weak measurements andExpand
Postselected quantum systems and their time evolution in non-equilibrium thermo-field dynamics
A postselected quantum system is studied within the framework of non-equilibrium thermo-field dynamics, where an extended Hilbert space is used for describing a quantum system. A two-operator stateExpand
Quantum to classical transitions via weak measurements and post-selection
Alongside its immense empirical success, the quantum mechanical account of physical systems imposes a myriad of divergences from our thoroughly ingrained classical ways of thinking. TheseExpand
Entangled histories versus the two-state-vector formalism: Towards a better understanding of quantum temporal correlations
The two-state-vector formalism and the entangled histories formalism are attempts to better understand quantum correlations in time. Both formalisms share some similarities, but they are notExpand
Time-symmetrized description of nonunitary time asymmetric quantum evolution
We discuss how systems which evolve manifestly asymmetrically in time can be described within the framework of the time-symmetrized quantum mechanics. An obvious case of asymmetry arises when a pureExpand
Quantum averages of weak values
We re-examine the status of the weak value of a quantum mechanical observable as an objective physical concept, addressing its physical interpretation and general domain of applicability. We showExpand
Time dispersion in quantum mechanics
  • J. Ashmead
  • Physics
  • Journal of Physics: Conference Series
  • 2019
In quantum mechanics the time dimension is treated as a parameter, while the three space dimensions are treated as observables. This assumption is both untested and inconsistent with relativity. FromExpand
Quantum interference experiments, modular variables and weak measurements
We address the problem of interference using the Heisenberg picture and highlight some new aspects through the use of pre-selection, post-selection, weak measurements and modular variables. WeExpand


Protective Measurements a
Recently, we have proposed protective measurements1-* that allow the measuring of the Schrodinger wave of a single particle. We have argued that the possibility of such measurements tells us that aExpand
Interaction with a pre and post selected environment and recoherence
The interaction of an open system $\s$ with a pre- and post-selected environment is studied. In general, under such circumstances $\s$ can not be described in terms of a density matrix, {\it evenExpand
Elements of Reality and the Failure of the Product Rule Measurability of Commuting Observables
The concept of ``elements of reality" is analyzed within the framework of quantum theory. It is shown that elements of reality fail to fulfill the product rule. This is the core of recent proofs ofExpand
Weak Measurements
Weak measurement is a standard measuring procedure with two changes: it is performed on pre- and post-selected quantum systems and the coupling to the measuring device is weakened. The outcomes ofExpand
The meaning of protective measurements
Protective measurement, which we have introduced recently, allows one to observe properties of the state of a single quantum system and even the Schrödinger wave itself. These measurements require aExpand
How much time does a tunneling particle spend in the barrier region?
  • Steinberg
  • Physics, Medicine
  • Physical review letters
  • 1995
The question in the title may be answered by considering the outcome of a ``weak measurement'' in the sense of Aharonov, Albert, and Vaidman. Various properties of the resulting time are discussed,Expand
  • Rev. Lett. 60, 1351
  • 1988
Class. Quant. Grav
  • Class. Quant. Grav
  • 1994
For a review article on weak values see: L. Vaidman, " Weak Measurements " , to appear at proc. of Erice school
  • For a review article on weak values see: L. Vaidman, " Weak Measurements " , to appear at proc. of Erice school
  • 1994
Elements of Reality and the Failure of the Product Rule, Symposium on the Foundation of Modern Physics
  • World Scientific
  • 1993