On the quasi-position representation in theories with a minimal length
General Relativity and Quantum Cosmology
2022-01-04 v2 High Energy Physics - Theory
Quantum Physics
Abstract
Quantum mechanical models with a minimal length are often described by modifying the commutation relation between position and momentum. Although this represents a small complication when described in momentum space, at least formally, the (quasi-)position representation acquires numerous issues, source of misunderstandings. In this work, we review these issues, clarifying some of the aspects of minimal length models, with particular reference to the representation of the position operator.
Keywords
Cite
@article{arxiv.2005.12258,
title = {On the quasi-position representation in theories with a minimal length},
author = {Pasquale Bosso},
journal= {arXiv preprint arXiv:2005.12258},
year = {2022}
}
Comments
13 pages, 6 figures