In three-mode Fock space we construct a new tripartite entangled state |α, γθλ which makes up a new quantum mechanical representation. The state |α, γθλ can be generated by using the set-up composed of an asymmetric beam splitter and a parametric down-conversion amplifier. We then show how to use |α, γθλ to find new squeezing operator and new squeezed state.
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