I've been studying QFT for a couple of years now, and until today I haven't encountered any of the phenomena that I've studied in my QM course: tunneling, entanglement, probability measurements and this sort of things were lying low in my memory, almost forgotten.
Those phenomena are well observed and studied using QM: I reckon they can also be explained using QFT, but how?

For the comments: by "explain" I mean "use the tools of QFT (time-ordered products of fields, Feynman diagrams) to predict this behavior".

  • $\begingroup$ Could you clarify what you mean "explain"? Are you looking for some additional understanding of these phenomena due to QFT being a more complete theory? Are you asking if their "paradoxical" nature vanishes? Or are you asking how these notions that you've encountered in QM can be reproduced in the QFT framework? $\endgroup$ – Nihar Karve Mar 4 at 16:47
  • $\begingroup$ @NiharKarve please see the edited question. I guess I'm looking for a mix of the first and third questions that you proposed. $\endgroup$ – Mauro Giliberti Mar 4 at 18:22
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    $\begingroup$ I don't really understand this question - QFT is a quantum mechanical theory and hence has precisely the same concepts of entanglement or probability as the basic non-relativistic quantum mechanics of particles we usually learn first. I'm also not sure what you mean by "tunneling" in this context, or rather what you think there is to explain. $\endgroup$ – ACuriousMind Mar 4 at 18:28
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    $\begingroup$ If what you really want to ask is how specific predictions of non-relativistic QM with fixed particles are compatible with those of relativistic QFT, the answer is that rQFT reduces to nrQM in a suitable limit (depending on the specific application) and we already have plenty of questions about such limits, see e.g. physics.stackexchange.com/q/142159/50583 $\endgroup$ – ACuriousMind Mar 4 at 18:31
  • $\begingroup$ Are you uninterested in the Lamb shift or the anomalous magnetic moment of the electron? $\endgroup$ – Cosmas Zachos Mar 4 at 19:16

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