Quantum mechanics in general quantum systems (IV): Green operator and path integral

Details Quantum mechanics in general quantum systems (IV): Green operator and path integral Quantum mechanics in general quantum systems (IV): Green operator and path integral

2006-12-10

arxiv.org/abs/quant-ph/0612068v2

Physics

Quantum Physics

6 pages, no figure. This is the fourth preprint in our serial studies. The previous three preprints are, respectively, quant-p

Scientific paper

We first rewrite the perturbation expansion of the time evolution operator [An Min Wang, quant-ph/0611216] in a form as concise as possible. Then we derive out the perturbation expansion of the time-dependent complete Green operator and prove that it is just the Fourier transformation of the Dyson equation. Moreover, we obtain the perturbation expansion of the complete transition amplitude in the Feynman path integral formulism, and give an integral expression that relates the complete transition amplitude with the unperturbed transition amplitude. Further applications of these results can be expected and will be investigated in the near future.

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