Physical significance of minimum uncertainty states of an angular momentum system

1 August 1978

journal article
Published by American Physical Society (APS) in Physical Review A

Vol. 18 (2) , 617-619
https://doi.org/10.1103/physreva.18.617

Abstract

The minimization of the uncertainty relation

2 Δ x Δ p \geq ℏ

characterizes the coherent states. The spincoherent states of Radcliffe minimize the uncertainty relation

2 Δ (\vec{J} \cdot \vec{u}) Δ (\vec{J} \cdot \vec{v}) \geq | 〈 \vec{J} \cdot \vec{w} 〉 |

(where

\vec{u}

\vec{v}

\vec{w}

form an arbitrary orthonormal basis), but this property does not characterize them. Here, we analyze that situation and suggest an alternative to restore the parallelism.

Keywords

This publication has 7 references indexed in Scilit:

Eigenstates of complex linear combinations of J1,J2,J3 for any representation of SU(2)
Journal of Mathematical Physics, 1978
Description of $n$ -level systems in cooperative behavior. II. Energy states, coherent states, and classical limit theories
Physical Review A, 1977
On intelligent spin states
Journal of Mathematical Physics, 1976
Minimum uncertainty states for angular momentum operators
Physics Letters A, 1976
Orbits of the rotation group on spin states
Journal of Mathematical Physics, 1974
Coherent states for arbitrary Lie group
Communications in Mathematical Physics, 1972
Some properties of coherent spin states
Journal of Physics A: General Physics, 1971