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

TL;DR

This paper examines the conflicting theoretical predictions about the behavior of composite matter in weak gravitational fields, highlighting an overlooked contradiction and proposing experimental tests and computational guidance.

Contribution

It identifies a significant contradiction between models predicting opposite orientations of gravity-induced fields in matter and suggests experimental and computational approaches to resolve it.

Findings

Contradiction between Schiff and lattice models on field orientation

Proposal for experimental testing of the models

Suggestion for density functional calculations to guide understanding

Abstract

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.