ByapplyinghigherpowersoftheBogoliubovtransformationoperatorb^t=u^*a+μ^*a^ttothetwo-photoncoherentstates(orminimumuncertaintysqueezedstates)weconstructanewtypeofquantumstatewhichwecallthegeneralizedexcitedtwo-photoncoherentstates.Analyticexpressionsforthequantumstatisticalpropertiesarederived,andthroughnumericalcomputationthephasespacequasi-probabilitydistributionsarefound.Thesestatescanexhibithighlynonclassicalbehaviourdependingonthedegreeofexcitationmandotherparameters.ForparticularvaluesoftwoparametersAandp,thesegeneralizedstatesreducetootherclassesofcoherentstatesformerlyreported.Ourtheorythuspresentsamuchbroaderapproachtothesetypesofquantumstates.
