Notes on Certain Newton Gravity Mechanisms of Wave Function Localisation and Decoherence

Details Notes on Certain Newton Gravity Mechanisms of Wave Function Localisation and Decoherence Notes on Certain Newton Gravity Mechanisms of Wave Function Localisation and Decoherence

2006-07-17

arxiv.org/abs/quant-ph/0607110v1

J.Phys. A40 (2007) 2989-2995

Physics

Quantum Physics

8pp LaTex, Submitted to J. Phys. A: Math-Gen, for the special issue ``The Quantum Universe'' in honor of G. C. Ghirardi

Scientific paper

10.1088/1751-8113/40/12/S07

Both the additional non-linear term in the Schr\"odinger equation and the additional non-Hamiltonian term in the von Neumann equation, proposed to ensure localisation and decoherence of macro-objects, resp., contain the same Newtonian interaction potential formally. We discuss certain aspects that are common for both equations. In particular, we calculate the enhancement of the proposed localisation and/or decoherence effects, which would take place if one could lower the conventional length-cutoff and resolve the mass density on the interatomic scale.

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