On the Equivalence Principle in Quantum Theory

Details On the Equivalence Principle in Quantum Theory On the Equivalence Principle in Quantum Theory

1996-05-29

arxiv.org/abs/gr-qc/9605065v1

Gen.Rel.Grav. 28 (1996) 1043

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, LaTex, includes 1 eps figure, To appear in Gen. Rel. Grav

Scientific paper

10.1007/BF02113157

The role of the equivalence principle in the context of non-relativistic quantum mechanics and matter wave interferometry, especially atom beam interferometry, will be discussed. A generalised form of the weak equivalence principle which is capable of covering quantum phenomena too, will be proposed. It is shown that this generalised equivalence principle is valid for matter wave interferometry and for the dynamics of expectation values. In addition, the use of this equivalence principle makes it possible to determine the structure of the interaction of quantum systems with gravitational and inertial fields. It is also shown that the path of the mean value of the position operator in the case of gravitational interaction does fulfill this generalised equivalence principle.

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