Features of Quantum Mechanics on a Ring
Quantum Physics
2016-05-24 v2
Abstract
Aspects of quantum mechanics on a ring are studied. Either one or two impenetrable barriers are inserted at nodal and non-nodal points to turn the ring into either one or two infinite square wells. In the process, the wave function of a particle can change its energy, as it gets entangled with the barriers and the insertion points become nodes. Two seemingly innocuous assumptions representing locality and linearity are investigated. Namely, a barrier insertion at a fixed node needs no energy, and barrier insertions can be described by linear maps. It will be shown that the two assumptions are incompatible.
Keywords
Cite
@article{arxiv.1605.00547,
title = {Features of Quantum Mechanics on a Ring},
author = {Bernhard K. Meister},
journal= {arXiv preprint arXiv:1605.00547},
year = {2016}
}
Comments
6 pages. arXiv admin note: text overlap with arXiv:1603.04774