English

Deformed Heisenberg algebra and minimal length

Quantum Physics 2015-06-03 v1 Mathematical Physics math.MP

Abstract

A one-dimensional deformed Heisenberg algebra [X,P]=if(P)[X,P]=if(P) is studied. We answer the question: For what function of deformation f(P)f(P) there exists a nonzero minimal uncertainty in position (minimal length). We also find an explicit expression for the minimal length in the case of arbitrary function of deformation.

Keywords

Cite

@article{arxiv.1201.5545,
  title  = {Deformed Heisenberg algebra and minimal length},
  author = {T. Masłowski and A. Nowicki and V. M. Tkachuk},
  journal= {arXiv preprint arXiv:1201.5545},
  year   = {2015}
}

Comments

to be published in JPA