2006/12/10 by An Min Wang, Wang, An Min · 2 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Other Condensed Matter (cond-mat.other) #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #cond-mat.other #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0612068
6 pages, no figure. This is the fourth preprint in our serial studies. The previous three preprints are, respectively, quant-ph/0611216, quant-ph/0611217 and quant-ph/0601051
openalex publication_date 2006/12/10 · arxiv created 2006/12/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.