Projection Operator

J. Dobe, С.П. Иванова, R. V. Jolos +1 more

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.

Arkady Bolotin

In contrast to conjunctions of commutable projection operators unambiguously represented by their meets, the mathematical representation of conjunctions of incommutable projection operators is a question that has yet to be solved. This question relates to another asking whether the set of the column spaces of the projection operators, commutable and incommutable alike, forms a lattice. As it is demonstrated in the paper, if the Hilbert space is finite, the column spaces of the incommutable projection operators cannot be elements of one partially ordered set in accordance with Burnside's theorem on matrix algebras.

LI Xiao-zhu

Projection operator is studied by considered teaching.Firstly,advantage of projection operator is clarified.Secondly,it is discussed how the procedure teaching method is realized in teaching of projection operator.And the manner on guiding students to undertake researching study is investigated.Finally, dealing with the calculation problem of quantum mechanics via computers is explained and emphasized.

O. Platz