Generalized intelligent states and SU(1,1) and SU(2) squeezing

摘要

A sufficient condition for a state |\psi> to minimize theRobertson-Schr\"{o}dinger uncertainty relation for two observables A and B isobtained which for A with no discrete spectrum is also a necessary one. Suchstates, called generalized intelligent states (GIS), exhibit arbitrarily strongsqueezing (after Eberly) of A and B. Systems of GIS for the SU(1,1) and SU(2)groups are constructed and discussed. It is shown that SU(1,1) GIS contain allthe Perelomov coherent states (CS) and the Barut and Girardello CS while theBloch CS are subset of SU(2) GIS.