Electron-Lattice Systems in Weak Gravitation: The Schiff Dessler Problem

Details Electron-Lattice Systems in Weak Gravitation: The Schiff Dessler Problem Electron-Lattice Systems in Weak Gravitation: The Schiff Dessler Problem

2009-08-19

arxiv.org/abs/0908.2820v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

ten PDF pages including two figures

Scientific paper

The behavior of composite matter in external fields can be very revealing. The quantum mechanical problem of a material object (test mass) placed in a uniform (weak) gravitational field, g, was considered by many authors starting with Schiff [Phys. Rev. 151, 1067 (1966)]. Depending on the theoretical treatment opposing results of gravity induced (electric) field have been reported. In the Schiff model [L.I. Schiff, PRB, 1, 4649 (1970)] the field is predicted to be oriented anti-parallel (with reference to g). On the other hand it is found to be parallel in the elastic lattice model [A. J. Dessler et al, Phys.Rev, 168, 737, (1968); Edward Teller, PNAS, 74, 2664 (1977)]. Surprisingly, modern researchers have largely overlooked this interesting contradiction. Here an experimental test is suggested. We also reason that advanced density functional type calculations can provide valuable guidance.

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