Second Quantization and Configuration Space Method

Jeppe Olsen

Poul Jørgensen, Jack Simons

L.D. Faddeev, L.A. Khalfin, I.V. Komarov

In principle, it is known that the method of the quantized wave function is equivalent to the method of the usual wave function in the configuration space. However, the close connection between both methods was not observed in a proper way. In the proposed paper, this connection is traced in detail. It appears that it is close to such a degree that on each step the calculation with the quantized wave function admits the direct transition to the configuration space.

Donald H. Kobe

The representation of an arbitrary operator in second quantization is obtained for both fermion and boson systems by using the isomorphism between second quantization and a graded configuration space.