On the interaction of mesoscopic quantum systems with gravity

Details On the interaction of mesoscopic quantum systems with gravity On the interaction of mesoscopic quantum systems with gravity

2004-08-03

arxiv.org/abs/gr-qc/0408010v2

Annalen Phys. 14 (2005) 253-278

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27 pages, study for ESA: typos corrected, references and clarifications added. To appear in Annalen der Physik

Scientific paper

10.1002/andp.200410119

We review the different aspects of the interaction of mesoscopic quantum systems with gravitational fields. We first discuss briefly the foundations of general relativity and quantum mechanics. Then, we consider the non-relativistic expansions of the Klein-Gordon and Dirac equations in the post-Newtonian approximation. After a short overview of classical gravitational waves, we discuss two proposed interaction mechanisms: (i) the use of quantum fluids as generator and/or detector of gravitational waves in the laboratory, and (ii) the inclusion of gravitomagnetic fields in the study of the properties of rotating superconductors. The foundations of the proposed experiments are explained and evaluated.

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