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Phys. Rev. Lett. 74, 621–625 (1995)

Quantum Backreaction on "Classical" Variables

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Arlen Anderson
Isaac Newton Institute, 20 Clarkson Road, Cambridge CB3 OEH, England and Blackett Laboratory, Imperial College, Prince Consort Rd., London SW7 2BZ, England

Received 28 June 1994; published in the issue dated 30 January 1995

A mathematically consistent procedure for coupling quasiclassical and quantum variables through coupled Hamilton-Heisenberg equations of motion is derived from a variational principle. During evolution, the quasiclassical variables become entangled with the quantum variables with the result that the value of the quasiclassical variables depends on the quantum state. This provides a formalism to compute the backreaction of any quantum system on a quasiclassical one. In particular, it leads to a natural candidate for a theory of gravity coupled to quantized matter in which the gravitational field is not quantized.

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.74.621
DOI:
10.1103/PhysRevLett.74.621
PACS:
03.65.Sq, 04.62.+v

See Also

Comment: K. R. Jones, Comment on “Quantum Backreaction on `Classical' Variables”, Phys. Rev. Lett. 76, 4087 (1996).

Comment: Lajos Diósi, Comment on “Quantum Backreaction on `Classical' Variables”, Phys. Rev. Lett. 76, 4088 (1996).

Comment: I. R. Senitzky, Can Classical and Quantum Variables have a Consistent Mutual Interaction?, Phys. Rev. Lett. 76, 4089 (1996).

Reply: Arlen Anderson, Anderson Replies:, Phys. Rev. Lett. 76, 4090 (1996).