Projection operator in the boson expansion techniques
J. DobeInstitute of Nuclear Physics, 250 68 Řež, CzechoslovakiaС.П. ИвановаInstitute of Nuclear Physics, 250 68 Řež, CzechoslovakiaR. V. JolosInstitute of Nuclear Physics, 250 68 Řež, CzechoslovakiaR. PedrosaInstitute of Nuclear Physics, 250 68 Řež, Czechoslovakia
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The projection operator onto the physical space is investigated in the boson expansion techniques. An explicit expression for the projection operator contains many body terms. From this expression, recurrent relations are obtained. Based on the properties of the projection operator, a new general form of boson mapping is derived.
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