The robustness of a many-body decoherence formula of Kay under changes in graininess and shape of the bodies

Details The robustness of a many-body decoherence formula of Kay under changes in graininess and shape of the bodies The robustness of a many-body decoherence formula of Kay under changes in graininess and shape of the bodies

2005-06-06

arxiv.org/abs/gr-qc/0506039v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Now 12 pages, no figures. LaTeX (includes iopart class/style files, uses amsthm.sty). Submitted to Class. Quantum Grav. Proof

Scientific paper

In ``Decoherence of macroscopic closed systems within Newtonian quantum gravity'' (Kay B S 1998 Class. Quantum Grav. 15 L89-L98) it was argued that, given a many-body Schroedinger wave function \psi(x_1,...,x_N) for the centre-of-mass degrees of freedom of a closed system of N identical uniform-mass balls of mass M and radius R, taking account of quantum gravitational effects and then tracing over the gravitational field amounts to multiplying the position-space density matrix \rho(x_1,...,x_N; x_1',...,x_N')= \psi(x_1,...,x_N)\psi*(x_1',...,x_N') by a multiplicative factor, which, if the positions {x_1,...,x_N; x_1',...,x_N'} are all much further away from one another than R, is well-approximated by the product from 1 to N over I, J, K (I 0) of radius r with centres at the vertices of a cubic lattice of spacing a (assumed to be very much bigger than 2r) and side 2La we establish the bound e^{-1/3}(r/a)^{1/n}La < R_eff < 2\sqrt 3(r/a)^{1/n} La.

Affiliated with

Also associated with

No associations

Rating

The robustness of a many-body decoherence formula of Kay under changes in graininess and shape of the bodies does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The robustness of a many-body decoherence formula of Kay under changes in graininess and shape of the bodies, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The robustness of a many-body decoherence formula of Kay under changes in graininess and shape of the bodies will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-202165