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The weak equivalence principle of gravity is examined at the quantum level in two ways. First, the position detection probabilities of particles described by a non-Gaussian wave-packet projected upwards against gravity around the classical…

Quantum Physics · Physics 2011-12-30 P. Chowdhury , D. Home , A. S. Majumdar , S. V. Mousavi , M. R. Mozaffari , S. Sinha

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…

Quantum Physics · Physics 2023-10-16 Joseph Balsells , Martin Bojowald

Universality of motion under gravity, the equivalence principle, is violated for quantum particles. Here, we study time it takes for a quantum particle to scatter from the gravitational potential, and show that the scattering time,…

Quantum Physics · Physics 2022-08-29 Durmus Demir

A quantum particle moving in a gravitational field may penetrate the classically forbidden region of the gravitational potential. This raises the question of whether the time of flight of a quantum particle in a gravitational field might…

Quantum Physics · Physics 2009-11-10 P. C. W. Davies

We ask the question how the (weak) equivalence principle established in classical gravitational physics should be reformulated and interpreted for massive quantum objects that may also have internal degrees of freedom (dof). This inquiry is…

Quantum Physics · Physics 2018-02-14 Charis Anastopoulos , Bei-Lok Hu

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…

The problem of a beam of quantum particles falling through a diffractive screen is studied. The solutions for single and double slits are obtained explicitly when the potential is approximated by a linear function. It is found that the…

Quantum Physics · Physics 2018-10-24 D. Condado , J. L. Díaz-Cruz , A. Rosado , E. Sadurní

We study the free-fall of a quantum particle in the context of noncommutative quantum mechanics (NCQM). Assuming noncommutativity of the canonical type between the coordinates of a two-dimensional configuration space, we consider a neutral…

High Energy Physics - Theory · Physics 2011-06-02 K. H. C. Castello-Branco , A. G. Martins

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…

General Relativity and Quantum Cosmology · Physics 2023-08-03 Saurya Das , Mitja Fridman , Gaetano Lambiase

We study modifications of gravitational wave observables, such as the wave amplitude and frequency, which follow from the quantum equivalence principle, and are expressed in terms of the inertial, gravitational and rest masses of the…

General Relativity and Quantum Cosmology · Physics 2025-06-26 Saurya Das , Mitja Fridman , Gaetano Lambiase

Free fall in a uniform gravitational field is revisited in the case of quantum states with and without classical analogue. The interplay between kinematics and dynamics in the evolution of a falling quantum test particle is discussed…

Quantum Physics · Physics 2009-12-30 Lorenza Viola , Roberto Onofrio

We propose an approach that allows to systematically take into account gravity in quantum particle physics. It is based on quantum field theory and the general principle of relativity. These are used to build a model for quantum particles…

High Energy Physics - Theory · Physics 2022-04-14 Viacheslav A. Emelyanov

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…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Domenico Giulini

Einstein's equivalence principle in classical physics is a rule stating that the effect of gravitation is locally equivalent to the acceleration of an observer. The principle determines the motion of test particles uniquely (modulo very…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Andrzej Herdegen , Jaroslaw Wawrzycki

In Nature Phys. 11, 668 (2015) (Ref. [1]), a composite particle prepared in a pure initial quantum state and propagated in a uniform gravitational field is shown to undergo a decoherence process at a rate determined by the gravitational…

Quantum Physics · Physics 2016-08-31 B. Pang , F. Y. Khalili , Y. Chen

We emphasize that a specific aspect of quantum gravity is the absence of a super-selection rule that prevents a linear superposition of different gravitational charges. As an immediate consequence, we obtain a tiny, but observable,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. Z. Adunas , E. Rodriguez-Milla , D. V. Ahluwalia

We consider an extension of the recent experiment with ultracold neutrons and the quantization of its vertical motion in order to test the Weak Equivalence Principle. We show that an improvement on the energy resolution of the experiment…

High Energy Physics - Phenomenology · Physics 2017-08-23 O. Bertolami , F. M. Nunes

The quantum analogue of Galileo's leaning tower experiment is revisited using wave packets evolving under the gravitational potential. We first calculate the position detection probabilities for particles projected upwards against gravity…

Quantum Physics · Physics 2009-11-13 Md. Manirul Ali , A. S. Majumdar , Dipankar Home , Alok Kumar Pan

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…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Claus Lämmerzahl

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…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Claus Lämmerzahl
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