On the equivalence principle in quantum theory |
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Authors: | Claus Lämmerzahl |
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Institution: | (1) Laboratoire de Gravitation et Cosmologie Relativiste, Université Pierre et Marie Curie, CNRS/URA 679, F-75252 Paris Cedex 05, France;(2) Fakultät für Physik der Universität Konstanz, Pf 5560 M 674, D-78434 Konstanz, Germany |
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Abstract: | 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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