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Phys. Rev. Lett. 70, 2201–2204 (1993)

Consistent interpretation of quantum mechanics using quantum trajectories

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Robert B. Griffiths
Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania, 15213

Received 15 December 1992; published in the issue dated 12 April 1993

The probabilistic element of quantum theory can be combined with the unitary time evolution of Schrödinger’s equation in a natural and consistent way using the idea of a quantum trajectory, the quantum analog of the trajectory traced out in phase space as a function of time by a point representing the state of a closed classical system. A family of quantum trajectories can be defined using bases for the quantum Hilbert space at different times chosen so that an appropriate noninterference condition, related to the Gell-Mann and Hartle notion of medium decoherence, is satisfied. The result is a generalization of the consistent histories approach to quantum mechanics.

© 1993 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.70.2201
DOI:
10.1103/PhysRevLett.70.2201
PACS:
03.65.Bz, 05.30.-d

See Also

Comment: Helmut Fink and Hajo Leschke, Comment on ‘‘Consistent interpretation of quantum mechanics using quantum trajectories’’, Phys. Rev. Lett. 72, 1770 (1994).

Reply: Robert B. Griffiths, Griffiths replies, Phys. Rev. Lett. 72, 1771 (1994).