An analytic formula determining quantum pointer basis and its application to a flying bullet
Abstract
We propose a general scheme determining the quantum pointer basis of a macroscopic object interacting with environment. Unlike the decoherence program, our pointer basis does not require robustness against entanglement, but require robustness on the object state itself. The proposed pointer basis does not rely on master equations, and so is easily calculable since it has a time-local analytic formula. We show that, as a convincing example, the proposed formula gives an satisfactory pointer basis of a macroscopic flying body such as a bullet whose pointer states should have well-defined momentum as well as highly-localized position.
Keywords
Cite
@article{arxiv.1502.06351,
title = {An analytic formula determining quantum pointer basis and its application to a flying bullet},
author = {Sang Jae Yun},
journal= {arXiv preprint arXiv:1502.06351},
year = {2016}
}
Comments
This paper was withdrawn by the author because the notion of the robustness on the object state is not suitable to establish a more general theory addressing the quantum measurement problem. Please refer the renewed paper, arXiv:1606.02418, which provides answers to the questions of where and when collapse occurs, how the collapse basis is determined, what determines the observables, etc