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Sep 18, 2016 at 2:10 comment added tparker @Nogueira I think that's a deep enough issue that it deserves a separate SE question
Sep 18, 2016 at 2:02 comment added Nogueira The mass, as a central charge of the Galileu álgebra, would not prevent interactions that not conserved particles?
Aug 27, 2016 at 7:43 history edited tparker CC BY-SA 3.0
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Jul 12, 2016 at 20:04 vote accept CommunityBot
Jul 11, 2016 at 20:26 comment added user121238 Interesting. If nothing new shows up I will mark it as the answer.
Jul 11, 2016 at 7:51 history edited tparker CC BY-SA 3.0
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Jul 11, 2016 at 7:47 comment added tparker In fact, in my experience, long after you first study QFT, you realize that a lot of the concepts are just advanced concepts from nonrelativistic QM, that ideally you should have mastered before you started studying QFT ... okay, sorry, now I'm just rambling.
Jul 11, 2016 at 7:44 comment added tparker It's kind of a shame that many people don't encounter indefinite-particle-number Hilbert spaces until they study relativistic QFT. They get the impression that there's something inherently relativistic about the notion. But in fact it's just a practical matter: you don't always need such fancy Hilbert spaces in nonrelativistic contexts, but there's nothing stopping you from using them.
Jul 11, 2016 at 7:36 history edited tparker CC BY-SA 3.0
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Jul 11, 2016 at 7:31 comment added tparker TLDR: relativistic system = fundamental particle number not conserved; nonrelativistic system = fundamental particle number conserved, quasiparticle number not (necessarily) conserved.
Jul 11, 2016 at 7:29 history answered tparker CC BY-SA 3.0