Minimum uncertainty states of angular momentum and angular position

Pegg, D T and Barnett, S M and Zambrini, R and Franke-Arnold, S and Padgett, M (2005) Minimum uncertainty states of angular momentum and angular position. New Journal of Physics, 7. -. ISSN 1367-2630 (https://doi.org/10.1088/1367-2630/7/1/062)

Abstract

The states of linear momentum that satisfy the equality in the Heisenberg uncertainty principle for position and momentum, that is the intelligent states, are also the states that minimize the uncertainty product for position and momentum. The corresponding uncertainty relation for angular momentum and angular position, however, is more complicated and the intelligent states need not be the constrained minimum uncertainty product states. In this paper, we investigate the differences between the intelligent and the constrained minimum uncertainty product states for the angular case by means of instructive approximations, a numerical iterative search and the exact solution. We find that these differences can be quite significant for particular values of angular position uncertainty and indeed may be amenable to experimental measurement with the present technology.

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• Item metadata

  Item type:	Article
  ID code:	31081
  Dates:	Date Event 17 February 2005 Published
  Subjects:	Science > Physics > Optics. Light
  Department:	Faculty of Science > Physics
  Depositing user:	Pure Administrator
  Date deposited:	22 Jun 2011 15:17
  Last modified:	08 Apr 2024 19:05
  URI:	https://strathprints.strath.ac.uk/id/eprint/31081