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

dc.creatorWang, An Min
dc.date2006-12-10
dc.date2006-12-11
dc.date.accessioned2026-07-07T07:35:09Z
dc.date.available2026-07-07T07:35:09Z
dc.descriptionWe 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.
dc.description6 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
dc.identifierhttps://arxiv.org/abs/quant-ph/0612068
dc.identifierhttp://arxiv.org/abs/quant-ph/0612068
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120005
dc.subjectQuantum Physics
dc.subjectOther Condensed Matter
dc.titleQuantum mechanics in general quantum systems (IV): Green operator and path integral
dc.typetext

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