On the uncertainty relation in the coherent spin-state representation
- 21 January 1974
- journal article
- Published by IOP Publishing in Journal of Physics A: Mathematical, Nuclear and General
- Vol. 7 (2) , 213-215
- https://doi.org/10.1088/0305-4470/7/2/007
Abstract
The product ( delta sx)2( delta sy)2 is computed where ( delta sx,y)2=(sx,y2)-(sx,y)2; averaging is performed in the coherent spin-state representation given by Radcliffe (1971). After applying the Holstein- Primakoff transformation s-=(2s)12/aDagger , s+=(2s)12/a and mu = alpha /(2s)12/, and putting s to infinity one proceeds from Radcliffe space into the Glauber space. After this procedure the product ( delta sx)2( delta sy)2 becomes ( delta x)2( delta p)2. Using the Jackiw equation it is shown that the function mod mu =0> is the only one which minimizes the uncertainty product, for every s.Keywords
This publication has 3 references indexed in Scilit:
- Some properties of coherent spin statesJournal of Physics A: General Physics, 1971
- Minimum Uncertainty Product, Number-Phase Uncertainty Product, and Coherent StatesJournal of Mathematical Physics, 1968
- Coherent and Incoherent States of the Radiation FieldPhysical Review B, 1963