ALGEBRAIC COHERENT STATES AND SQUEEZING

                                      D.A. Trifonov
                            Institute of Nuclear Research,
                              72 Tzarigradsko Chaussee,
                                  1784 Sofia, Bulgaria

Abstract.
Eigenstates of general complex linear combination of SU(1,1) generators (su^c(1,1) algebraic
coherent states (ACS)) are constructed and discussed. In case of quadratic boson
representation ACS can exhibit strong both linear and quadratic amplitude squeezing. ACS for
a given Lie group algebra contain the corresponding Perelomov CS with maximal symmetry.
 
 
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