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On the Equivalence Principle in Quantum Theory

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arxiv gr-qc/9605065 v1 pith:X3W7Z5XB submitted 1996-05-29 gr-qc

On the Equivalence Principle in Quantum Theory

classification gr-qc
keywords equivalenceprinciplequantumgeneralisedinterferometrygravitationalinteractionmatter
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Mach's principle in atomic transitions

    quant-ph 2026-06 unverdicted novelty 5.0

    Atomic transition probabilities in two atom-mirror circular motion setups are equivalent under field frequency interchange and interpreted as a semi-classical analog to Mach's principle.

  2. Equivalence Principle violation in metric-affine gravity and finite-temperature effects

    gr-qc 2026-06 unverdicted novelty 4.0

    Metric-affine gravity formulates equivalence principle violations via non-metricity that parallel finite-temperature mass-ratio shifts, and a generalized Fermi-Walker derivative shows no orthonormal tetrad propagates ...