On the quantum-to-classical transition of a particle in a box
journal contributionposted on 2018-10-05, 08:38 authored by Jamie E. Paton, Mark J. Wootton, Mark EverittMark Everitt
The exact formulation of the correspondence principle and in particular understanding the quantum-to-classical transition remains an open problem in quantum mechanics. In this paper we present our investigation into the quantumto-classical transition of the most trivial of quantum systems — a particle in a box. Whilst it is perhaps surprising, even this example can produce new physical insight into these fundamental problems. With modern fabrication techniques of nano-mechanical systems we will be able to experimentally investigate these results and directly observe the quantum-to-classical transition. This will enable us to build technologies that probe the fundamental questions of quantum mechanics, such as the maximum size of a quantum object.
Published inAnnalen der Physik
Pages162 - 168
CitationPATON, J.E., WOOTTON, M.J. and EVERITT, M.J., 2015. On the quantum-to-classical transition of a particle in a box. Annalen der Physik, 527(1-2), pp. 162-168.
- AM (Accepted Manuscript)
Publisher statementThis work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/
NotesThis is the peer reviewed version of the following article: PATON, J.E., WOOTTON, M.J. and EVERITT, M.J., 2015. On the quantum-to-classical transition of a particle in a box. Annalen der Physik, 527(1-2), pp. 162-168, which has been published in final form at https://doi.org/10.1002/andp.201400119. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions