Effect of a Moving Mirror on the Free Fall of a Quantum Particle in a Homogeneous Gravitational Field

Author:

Allam Jawad,Matzkin Alex

Abstract

We investigate the effect of time-dependent boundary conditions on the dynamics of a quantum bouncer—a particle falling in a homogeneous gravitational field on a moving mirror. We examine more particularly the way a moving mirror modifies the properties of the entire wavefunction of a falling particle. We find that some effects, such as the fact that a quantum particle hitting a moving mirror may bounce significantly higher than when the mirror is fixed, are in line with classical intuition. Other effects, such as the change in relative phases or in the current density in spatial regions arbitrarily far from the mirror are specifically quantum. We further discuss how the effects produced by a moving mirror could be observed in link with current experiments, in particular with cold neutrons.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),Astronomy and Astrophysics,Atomic and Molecular Physics, and Optics,Statistical and Nonlinear Physics

Reference31 articles.

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1. Quantum mechanics on time-varying space domains;Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences;2023-08

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