Advantages of Second Quantization—Illustrative Examples

Abstract

Throughout the previous sections we become acquainted with the basic notations and rules of second quantization. It is time now to utilize the benefits of this formalism. In this section the usefulness of the second quantized approach will be illustrated from the practical point of view on a few selected simple examples. In fact, this formalism can only be appreciated by those who really use it in practice. It is hoped that the following development and examples will help the reader to appreciate the beauty and power of this formalism and to give him/her the possibility to apply it in his/her work. Before turning to the concrete examples, some general remarks are made in order to put the second quantized formalism to its proper place. Some of the following remarks have already been noted before, but it appears to be useful to collect here the most important points.