Reinterpretation of the effects of the Earth's rotation and gravity on the neutron-interferometry experiment
Department of Electrical Engineering, National Tsinghua
University Hsinchu, Taiwan, ROC
Accepted: 4 July 2002
The phase shift of matter wave due to the Earth's rotation and gravity has been demonstrated in the neutron-interferometry experiments where the Bragg reflection of the neutron wave from crystals is used to form a closed path. In the literature, the rotation-induced phase shift is ascribed to an extra energy term associated with angular momentum in the Hamiltonian. In this investigation, based on a classical treatment of the collision of neutrons with the lattice planes, the modifications in the particle velocity due to the Earth's rotation as well as those due to gravity are calculated. Then, in conjunction with the relation between the particle velocity and the propagation vector of matter wave, it is shown that the corresponding phase shifts in matter wave are in accord with the interference experiments. Thereby, based on the velocity modification due to collision, a reinterpretation of the effects of the Earth's rotation and gravity on the neutron-wave interference is presented. Meanwhile, a null effect of the Earth's orbital motion is predicted.
PACS: 03.65.Ta – Foundations of quantum mechanics; measurement theory / 03.75.Dg – Atom and neutron interferometry / 03.65.Pm – Relativistic wave equations
© EDP Sciences, 2002