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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…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Claus Lämmerzahl

A consistent theory of quantum gravity will require a fully quantum formulation of the classical equivalence principle. Such a formulation has been recently proposed in terms of the equality of the rest, inertial and gravitational mass…

广义相对论与量子宇宙学 · 物理学 2023-08-03 Saurya Das , Mitja Fridman , Gaetano Lambiase

On the basis of a manifestly covariant formalism of non-relativistic quantum mechanics in general coordinate systems, proposed by us recently, we derive general expressions for inertial forces. The results enable us further to discuss, and…

量子物理 · 物理学 2007-05-23 Minoru Omote , Susumu Kamefuchi

Gravitation, according to General Relativity, is an attribute of space-time's geometry and hence not a force in the Newtonian sense. This is a consequence of Einstein's equivalence principle, which so far passed all experimental tests with…

科普物理 · 物理学 2013-09-10 Domenico Giulini

The unification of quantum theory and the general theory of relativity - describing gravity, is one of the most important challenges in science. Einstein's general theory of relativity is based on the principle of equivalence, and has been…

We give a general overview of various flavors of the equivalence principle in classical and quantum physics, with special emphasis on the so-called weak equivalence principle, and contrast its validity in mechanics versus field theory. We…

广义相对论与量子宇宙学 · 物理学 2022-11-15 Nikola Paunkovic , Marko Vojinovic

That gravitation can be understood as purely metric phenomenon depends crucially on the validity of a number of hypotheses which are summarised by the Einstein Equivalence Principle, the least well tested part of which being the…

广义相对论与量子宇宙学 · 物理学 2015-06-03 Domenico Giulini

Assuming the validity of the equivalence principle in the quantum regime, we argue that one of the assumptions of the usual definition of quantum mechanics, namely separation between the ``classical'' detector and the ``quantum'' system,…

量子物理 · 物理学 2025-01-13 Giorgio Torrieri

The quantum equivalence principle says that, for any given point, it is possible to find a quantum coordinate system with respect to which we have definite causal structure in the vicinity of that point. It is conjectured that this…

量子物理 · 物理学 2019-03-20 Lucien Hardy

The standard argument for the validity of Einstein's equivalence principle in a non-relativistic quantum context involves the application of a mass superselection rule. It is surprising that the consistency between such an important…

量子物理 · 物理学 2014-02-17 H. Hernandez-Coronado , E. Okon

We present two projects aiming to probe key aspects of the theory of General Relativity with high-precision quantum sensors. These projects use cold-atom interferometry with the aim of measuring gravitational waves and testing the…

Can quantum-mechanical particles propagating on a fixed spacetime background be approximated as test bodies satisfying the weak equivalence principle? We ultimately answer the question in the negative but find that, when universality of…

广义相对论与量子宇宙学 · 物理学 2017-09-13 Luigi Seveso , Valerio Peri , Matteo G. A. Paris

We provide an introduction into the formulation of non-relativistic quantum mechanics using the Wigner phase-space distribution function and apply this concept to two physical situations at the interface of quantum theory and general…

We address the question whether quantum probes in a gravitational field can be considered as test particles obeying the weak equivalence principle (WEP). A formulation of the WEP is proposed which applies also in the quantum regime, while…

广义相对论与量子宇宙学 · 物理学 2017-05-18 Luigi Seveso , Matteo G. A. Paris

With an eye on developing a quantum theory of gravity, many physicists have recently searched for quantum challenges to the equivalence principle of general relativity. However, as historians and philosophers of science are well aware, the…

广义相对论与量子宇宙学 · 物理学 2014-02-17 Elias Okon , Craig Callender

The present work analyzes the meaning of the Weak Equivalence Principle in the context of quantum mechanics. A quantal definition for this principle is introduced. This definition does not require the concept of trajectory and relies upon…

广义相对论与量子宇宙学 · 物理学 2009-11-18 Abel Camacho , Arturo Camacho-Guardian

The transverse group associated to some continuous quantum measuring processes is analyzed in the presence of nonvanishing gravitational fields. This is done considering, as an exmaple, the case of a particle whose coordinates are being…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Abel Camacho Quintana

We show that in contrast to a recent claim, the Quantum Galileo Interferometer is sensitive to a uniform gravitational field in the presence and even in the absence of the levitation condition.

General relativity and quantum mechanics are conflicting theories. The seeds of discord are the fundamental principles on which these theories are grounded. General relativity, on one hand, is based on the equivalence principle, whose…

广义相对论与量子宇宙学 · 物理学 2015-06-25 R. Aldrovandi , J. G. Pereira , K. H. Vu

Investigation into the applicability of the equivalence principle in quantum mechanics has taken many forms, with varying conclusions. Here, a dynamical semi-classical description of a wave packet in terms of its center of mass and higher…

量子物理 · 物理学 2023-10-16 Joseph Balsells , Martin Bojowald
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