Appendix. Useful operator techniques

Author:

Haken Hermann

Publisher

Springer Berlin Heidelberg

Reference13 articles.

1. A discussion of this expansion and its connection with the S-matrix approach of Heisenberg and other formalisms as well is given by F.J. Dyson: Phys. Rev. 75, 486, 1736 (1947).

2. In our representation we follow more or less R.P. Feynman: Phys. Rev. 84, 108 (1951).

3. The successive terms are found from a recursion formula, which is known as the Baker-Campbell-Hausdorf formula: F. Hausdorf: Ber. Verhandl. Sächs. Akad. Wiss. Leipzig, Math.-Naturw. Kl. 58, 19 (1906). For further discussions and treatments of this and related problems see: W. Magnus: Commun. Pure Appl. Math. 7, 649 (1954).

4. J. Wei: J. Math. Phys. 4, 1337 (1963).

5. R. Karplus and J. Schwinger: Phys. Rev. 73, 1020 (1948).

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