1996/05/29 by Claus Lämmerzahl · 95 citations
Physics and Astronomy · #Equivalence (formal languages) #Equivalence principle (geometric) #Gravitation #Gravitational field #Gravity Probe A #Path integral formulation #Quantization (signal processing) #Quantum Mechanics and Applications #Quantum and Classical Electrodynamics #Quantum gravity #Relativity and Gravitational Theory #Weak equivalence #gr-qc
paper · pdf · doi:10.1007/bf02113157
published in General Relativity and Gravitation 28(9), 1043-1070 (Springer Science+Business Media) · 17 pages, LaTex, includes 1 eps figure, To appear in Gen. Rel. Grav
arxiv created 1996/05/29 · openalex publication_date 1996/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.