Timeline for Representation of U(1) on fock space

9 events

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May 6, 2016 at 21:52	history	bumped	CommunityBot		This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.
Aug 5, 2015 at 0:48	answer	added	Ziofil		timeline score: -1
Jun 4, 2015 at 15:31	comment	added	derpeter		Then how do you decompose an element of the Fock space into a reducible representation of U(1)? Elements of U(1) are complex numbers but a state in Fock space is given by the integer occupation numbers. That is what I mean by translation.
Jun 4, 2015 at 15:03	comment	added	ACuriousMind♦		Noone requires the Fock space to be an irreducible representation of $\mathrm{U}(1)$.
Jun 4, 2015 at 14:59	comment	added	derpeter		Thank you for your reply! Specifically, I am thrown off by the statement that the Hilbert space has to be one dimensional which is not the case for a Fock space, for example.
Jun 4, 2015 at 14:56	history	edited	derpeter	CC BY-SA 3.0	added 753 characters in body
Jun 4, 2015 at 14:34	comment	added	ACuriousMind♦		I don't understand the question - what do you mean by "translate"? Also, note that there are countably many different irreducible representations of $\mathrm{U}(1)$, which are all one dimensional.
Jun 4, 2015 at 14:22	review	First posts
Jun 4, 2015 at 15:07
Jun 4, 2015 at 14:19	history	asked	derpeter	CC BY-SA 3.0