The calculation of fractional parentage coefficients for many-boson systems

A second quantised operator approach has been used to calculate formulae for one-body fractional parentage coefficients (fpc) for a system of many spinless bosons. A number of examples have been discussed and compared with some of those already calculated by a different technique when used to simplify Jahn-Teller problems in atomic physics. It has been shown explicitly that this procedure may be generalised to find two-boson fpc which are useful when calculating matrix elements of two-body boson operators.